-
1
-
-
0024663568
-
Parallel VLSI computing array implementation for signal subspace updating algorithm
-
64, 471
-
A. Abdallah and Y. Hu, Parallel VLSI computing array implementation for signal subspace updating algorithm, IEEE Transactions on Acoustics, Speech and Signal Processing 37(1989), 742-748. {64, 471}
-
(1989)
IEEE Transactions on Acoustics, Speech and Signal Processing
, vol.37
, pp. 742-748
-
-
Abdallah, A.1
Hu, Y.2
-
2
-
-
0035151524
-
Polynomial zerofinders based on Szego polynomials
-
353, 471
-
G. S. Ammar, D. Calvetti, W. B. Gragg, and L. Reichel, Polynomial zerofinders based on Szego polynomials, Journal of Computational and Applied Mathematics 127(2001), 1-16. {353, 471}
-
(2001)
Journal of Computational and Applied Mathematics
, vol.127
, pp. 1-16
-
-
Ammar, G.S.1
Calvetti, D.2
Gragg, W.B.3
Reichel, L.4
-
3
-
-
21444440987
-
Continuation methods for the computation of zeros of Szego polynomials
-
354, 471
-
G. S. Ammar, D. Calvetti, and L. Reichel, Continuation methods for the computation of zeros of Szego polynomials, Linear Algebra and its Applications 249(1996), 125-155. {354, 471}
-
(1996)
Linear Algebra and its Applications
, vol.249
, pp. 125-155
-
-
Ammar, G.S.1
Calvetti, D.2
Reichel, L.3
-
4
-
-
22944463605
-
2) reduction algorithms for the construction of a band matrix from spectral data
-
435, 471
-
2) reduction algorithms for the construction of a band matrix from spectral data, SIAM Journal on Matrix Analysis and Applications 12(1991), no. 3, 426-432. {435, 471}
-
(1991)
SIAM Journal on Matrix Analysis and Applications
, vol.12
, Issue.3
, pp. 426-432
-
-
Ammar, G.S.1
Gragg, W.B.2
-
5
-
-
0002716336
-
-
A. M. Bloch, ed., American Mathematical Society, Providence, Rhode Island, 353, 471
-
-, Schur flows for orthogonal Hessenberg matrices, Hamiltonian and Gradient Flows, Algorithms and Control (A. M. Bloch, ed.), vol. 3, American Mathematical Society, Providence, Rhode Island, 1994, pp. 27-34. {353, 471}
-
(1994)
Schur Flows for Orthogonal Hessenberg Matrices, Hamiltonian and Gradient Flows, Algorithms and Control
, vol.3
, pp. 27-34
-
-
Ammar, G.S.1
Gragg, W.B.2
-
6
-
-
33947496596
-
An efficient QR algorithm for a Hessenberg submatrix of a unitary matrix
-
W. Dayawansa, A. Lindquist, and Y. Zhou, eds., Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin, Germany, 354, 471
-
G. S. Ammar, W. B. Gragg, and C. He, An efficient QR algorithm for a Hessenberg submatrix of a unitary matrix, New Directions and Applications in Control Theory (W. Dayawansa, A. Lindquist, and Y. Zhou, eds.), Lecture Notes in Control and Information Sciences, vol. 321, Springer-Verlag, Berlin, Germany, 2005, pp. 1-14. {354, 471}
-
(2005)
New Directions and Applications in Control Theory
, vol.321
, pp. 1-14
-
-
Ammar, G.S.1
Gragg, W.B.2
He, C.3
-
7
-
-
0022954579
-
On the eigenproblem for orthogonal matrices
-
IEEE, New York, USA, 353, 471
-
G. S. Ammar, W. B. Gragg, and L. Reichel, On the eigenproblem for orthogonal matrices, Proceedings of the 25th IEEE Conference on Decision & Control, IEEE, New York, USA, 1986, pp. 1963-1966. {353, 471}
-
(1986)
Proceedings of the 25th IEEE Conference on Decision & Control
, pp. 1963-1966
-
-
Ammar, G.S.1
Gragg, W.B.2
Reichel, L.3
-
8
-
-
0040782369
-
Constructing a unitary hessenberg matrix from spectral data
-
G. H. Golub and P. Van Dooren, eds., Computer and Systems Sciences, Springer-Verlag, Berlin, Germany, 419, 424, 426, 471
-
-, Constructing a unitary Hessenberg matrix from spectral data, Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms (G. H. Golub and P. Van Dooren, eds.), Computer and Systems Sciences, vol. 70, Springer-Verlag, Berlin, Germany, 1991, pp. 385-395. {419, 424, 426, 471}
-
(1991)
Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms
, vol.70
, pp. 385-395
-
-
Ammar, G.S.1
Gragg, W.B.2
Reichel, L.3
-
9
-
-
38249013559
-
Downdating of Szego polynomials and data-fitting applications
-
424, 427, 471
-
-, Downdating of Szego polynomials and data-fitting applications, Linear Algebra and its Applications 172(1992), 315-336. {424, 427, 471}
-
(1992)
Linear Algebra and its Applications
, vol.172
, pp. 315-336
-
-
Ammar, G.S.1
Gragg, W.B.2
Reichel, L.3
-
10
-
-
21844490726
-
On an inverse eigenvalue problem for unitary Hessenberg matrices
-
426, 472
-
G. S. Ammar and C. He, On an inverse eigenvalue problem for unitary Hessenberg matrices, Linear Algebra and its Applications 218(1995), 263-271. {426, 472}
-
(1995)
Linear Algebra and its Applications
, vol.218
, pp. 263-271
-
-
Ammar, G.S.1
He, C.2
-
11
-
-
0026911994
-
An implementation of a divide and conquer algorithm for the unitary eigenproblem
-
353, 472
-
G. S. Ammar, L. Reichel, and D. C. Sorensen, An implementation of a divide and conquer algorithm for the unitary eigenproblem, ACM Transactions on Mathematical Software 18(1992), no. 3, 292-307. {353, 472}
-
(1992)
ACM Transactions on Mathematical Software
, vol.18
, Issue.3
, pp. 292-307
-
-
Ammar, G.S.1
Reichel, L.2
Sorensen, D.C.3
-
12
-
-
0001050004
-
Finite boundary value problems solved by Green's matrix
-
13, 472
-
S. O. Asplund, Finite boundary value problems solved by Green's matrix, Mathematica Scandinavica 7(1959), 49-56. {13, 472}
-
(1959)
Mathematica Scandinavica
, vol.7
, pp. 49-56
-
-
Asplund, S.O.1
-
13
-
-
0039227848
-
Polynomials and linear control systems
-
Marcel Dekker, Inc., New York, USA, 327, 352, 472
-
S. Barnett, Polynomials and Linear Control Systems, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, USA, 1983. {327, 352, 472}
-
(1983)
Monographs and Textbooks in Pure and Applied Mathematics
-
-
Barnett, S.1
-
14
-
-
0000614268
-
A theorem on inverses of tridiagonal matrices
-
6, 9, 472
-
W. W. Barrett, A theorem on inverses of tridiagonal matrices, Linear Algebra and its Applications 27(1979), 211-217. {6, 9, 472}
-
(1979)
Linear Algebra and its Applications
, vol.27
, pp. 211-217
-
-
Barrett, W.W.1
-
15
-
-
0346278230
-
Inverses of banded matrices
-
6, 9, 472
-
W. W. Barrett and P. J. Feinsilver, Inverses of banded matrices, Linear Algebra and its Applications 41(1981), 111-130. {6, 9, 472}
-
(1981)
Linear Algebra and its Applications
, vol.41
, pp. 111-130
-
-
Barrett, W.W.1
Feinsilver, P.J.2
-
16
-
-
17744383370
-
Transformations to rank structures by unitary similarity
-
360, 472
-
R. Bevilacqua, E. Bozzo, and G. M. Del Corso, Transformations to rank structures by unitary similarity, Linear Algebra and its Applications 402(2005), 126-134. {360, 472}
-
(2005)
Linear Algebra and its Applications
, vol.402
, pp. 126-134
-
-
Bevilacqua, R.1
Bozzo, E.2
Del Corso, G.M.3
-
17
-
-
0003848161
-
Parallel solution of block tridiagonal linear systems
-
465, 472
-
R. Bevilacqua, B. Codenotti, and F. Romani, Parallel solution of block tridiagonal linear systems, Linear Algebra and its Applications 104(1988), 39-57. {465, 472}
-
(1988)
Linear Algebra and its Applications
, vol.104
, pp. 39-57
-
-
Bevilacqua, R.1
Codenotti, B.2
Romani, F.3
-
18
-
-
12944291125
-
Structural properties of matrix unitary reduction to semiseparable form
-
40, 182, 188, 193, 194, 217, 472
-
R. Bevilacqua and G. M. Del Corso, Structural properties of matrix unitary reduction to semiseparable form, Calcolo 41(2004), no. 4, 177-202. {40, 182, 188, 193, 194, 217, 472}
-
(2004)
Calcolo
, vol.41
, Issue.4
, pp. 177-202
-
-
Bevilacqua, R.1
Del Corso, G.M.2
-
19
-
-
70449360272
-
-
Tech. report, Department of Computer Science, University of California, Berkeley, California, USA, May, 349, 472
-
D. Bindel, S. Chandrasekaran, J. W. Demmel, D. Garmire, and M. Gu, A fast and stable nonsymmetric eigensolver for certain structured matrices, Tech. report, Department of Computer Science, University of California, Berkeley, California, USA, May 2005. {349, 472}
-
(2005)
A Fast and Stable Nonsymmetric Eigensolver for Certain Structured Matrices
-
-
Bindel, D.1
Chandrasekaran, S.2
Demmel, J.W.3
Garmire, D.4
Gu, M.5
-
20
-
-
0041413300
-
On computing Givens rotations reliably and efficiently
-
22, 24, 279, 280, 472
-
D. Bindel, J. W. Demmel, W. Kahan, and O. A. Marques, On computing Givens rotations reliably and efficiently, ACM Transactions on Mathematical Software 28(2002), no. 2, 206-238. {22, 24, 279, 280, 472}
-
(2002)
ACM Transactions on Mathematical Software
, vol.28
, Issue.2
, pp. 206-238
-
-
Bindel, D.1
Demmel, J.W.2
Kahan, W.3
Marques, O.A.4
-
21
-
-
22744450946
-
On the shifted QR iteration applied to companion matrices
-
289, 349, 472
-
D. A. Bini, F. Daddi, and L. Gemignani, On the shifted QR iteration applied to companion matrices, Electronic Transactions on Numerical Analysis 18(2004), 137-152. {289, 349, 472}
-
(2004)
Electronic Transactions on Numerical Analysis
, vol.18
, pp. 137-152
-
-
Bini, D.A.1
Daddi, F.2
Gemignani, L.3
-
22
-
-
37249038818
-
Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices
-
289, 350, 472
-
D. A. Bini, Y. Eidelman, L. Gemignani, and I. C. Gohberg, Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices, SIAM Journal on Matrix Analysis and Applications 29(2007), no. 2, 566-585. {289, 350, 472}
-
(2007)
SIAM Journal on Matrix Analysis and Applications
, vol.29
, Issue.2
, pp. 566-585
-
-
Bini, D.A.1
Eidelman, Y.2
Gemignani, L.3
Gohberg, I.C.4
-
23
-
-
84947068118
-
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
-
176, 182, 201, 289, 352, 473
-
D. A. Bini, L. Gemignani, and V. Y. Pan, Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations, Numerische Mathematik 100(2005), no. 3, 373-408. {176, 182, 201, 289, 352, 473}
-
(2005)
Numerische Mathematik
, vol.100
, Issue.3
, pp. 373-408
-
-
Bini, D.A.1
Gemignani, L.2
Pan, V.Y.3
-
24
-
-
0043176789
-
Practical improvement of the divide-and-conquer eigenvalue algorithms
-
378, 473
-
D. A. Bini and V. Y. Pan, Practical improvement of the divide-and-conquer eigenvalue algorithms, Computing 48(1992), no. 1, 109-123. {378, 473}
-
(1992)
Computing
, vol.48
, Issue.1
, pp. 109-123
-
-
Bini, D.A.1
Pan, V.Y.2
-
25
-
-
0000964853
-
A survey of matrix inverse eigenvalue problems
-
370, 424, 425, 435, 473
-
D. L. Boley and G. H. Golub, A survey of matrix inverse eigenvalue problems, Inverse Problems 3(1987), 595-622. {370, 424, 425, 435, 473}
-
(1987)
Inverse Problems
, vol.3
, pp. 595-622
-
-
Boley, D.L.1
Golub, G.H.2
-
26
-
-
84985379475
-
Some inverse eigenproblems for Jacobi and arrow matrices
-
378, 387, 388, 473
-
C. F. Borges, R. Frezza, and W. B. Gragg, Some inverse eigenproblems for Jacobi and arrow matrices, Numerical Linear Algebra with Applications 2(1995), no. 3, 195-203. {378, 387, 388, 473}
-
(1995)
Numerical Linear Algebra with Applications
, vol.2
, Issue.3
, pp. 195-203
-
-
Borges, C.F.1
Frezza, R.2
Gragg, W.B.3
-
27
-
-
17444429945
-
Divide and conquer for generalized real symmetric definite tridiagonal eigenproblems
-
E.-X. Jiang, ed., China Science and Technology Press, Beijing, China, October, 130, 370, 372, 375, 473
-
C. F. Borges and W. B. Gragg, Divide and conquer for generalized real symmetric definite tridiagonal eigenproblems, Proceedings of '92 Shanghai International Numerical Algebra and its Applications Conference (E.-X. Jiang, ed.), China Science and Technology Press, Beijing, China, October 1992, pp. 70-76. {130, 370, 372, 375, 473}
-
(1992)
Proceedings of '92 Shanghai International Numerical Algebra and its Applications Conference
, pp. 70-76
-
-
Borges, C.F.1
Gragg, W.B.2
-
28
-
-
0039923684
-
A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem
-
L. Reichel, A. Ruttan, and R. S. Varga, eds., de Gruyter, Berlin, Germany, 367, 370, 372, 375, 378, 387, 473
-
-, A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem, Numerical Linear Algebra and Scientific Computing (L. Reichel, A. Ruttan, and R. S. Varga, eds.), de Gruyter, Berlin, Germany, 1993, pp. 11-29. {367, 370, 372, 375, 378, 387, 473}
-
(1993)
Numerical Linear Algebra and Scientific Computing
, pp. 11-29
-
-
Borges, C.F.1
Gragg, W.B.2
-
29
-
-
0030194371
-
An efficient Chebyshev Lanczos method for obtaining eigensolutions of the Schrodinger equation on a grid
-
85, 473
-
M. Braun, S. A. Sofianos, D. G. Papageorgiou, and I. E. Lagaris, An efficient Chebyshev Lanczos method for obtaining eigensolutions of the Schrodinger equation on a grid, Journal of Computational Physics 126(1996), no. 2, 315-327. {85, 473}
-
(1996)
Journal of Computational Physics
, vol.126
, Issue.2
, pp. 315-327
-
-
Braun, M.1
Sofianos, S.A.2
Papageorgiou, D.G.3
Lagaris, I.E.4
-
31
-
-
17744387356
-
Generalizations of orthogonal polynomials
-
425, 473
-
A. Bultheel, A. M. Cuyt, W. Van Assche, M. Van Barel, and B. Verdonk, Generalizations of orthogonal polynomials, Journal of Computational and Applied Mathematics 179(2005), no. 1-2, 57-95. {425, 473}
-
(2005)
Journal of Computational and Applied Mathematics
, vol.179
, Issue.1-2
, pp. 57-95
-
-
Bultheel, A.1
Cuyt, A.M.2
Van Assche, W.3
Van Barel, M.4
Verdonk, B.5
-
33
-
-
0001142544
-
Orthogonal rational functions with poles on the unit circle
-
465, 473
-
A. Bultheel, P. González-Vera, E. Hendriksen, and O. Njåstad, Orthogonal rational functions with poles on the unit circle, Journal of Mathematical Analysis and Applications 182(1994), no. 1, 221-243. {465, 473}
-
(1994)
Journal of Mathematical Analysis and Applications
, vol.182
, Issue.1
, pp. 221-243
-
-
Bultheel, A.1
González-Vera, P.2
Hendriksen, E.3
Njåstad, O.4
-
34
-
-
0003246658
-
Orthogonal rational functions
-
Cambridge University Press, Cambridge, United Kingdom, 465, 473
-
-, Orthogonal Rational Functions, Cambridge Monographs on Applied and Computational Mathematics, vol. 5, Cambridge University Press, Cambridge, United Kingdom, 1999. {465, 473}
-
(1999)
Cambridge Monographs on Applied and Computational Mathematics
, vol.5
-
-
Bultheel, A.1
González-Vera, P.2
Hendriksen, E.3
Njåstad, O.4
-
35
-
-
0022673797
-
Padé techniques for model reduction in linear system theory: A survey
-
464, 474
-
A. Bultheel and M. Van Barel, Padé techniques for model reduction in linear system theory: a survey, Journal of Computational and Applied Mathematics 14(1986), 401-438. {464, 474}
-
(1986)
Journal of Computational and Applied Mathematics
, vol.14
, pp. 401-438
-
-
Bultheel, A.1
Van Barel, M.2
-
36
-
-
21844489079
-
Vector orthogonal polynomials and least squares approximation
-
425, 445, 474
-
-, Vector orthogonal polynomials and least squares approximation, SIAM Journal on Matrix Analysis and Applications 16(1995), no. 3, 863-885. {425, 445, 474}
-
(1995)
SIAM Journal on Matrix Analysis and Applications
, vol.16
, Issue.3
, pp. 863-885
-
-
Bultheel, A.1
Van Barel, M.2
-
37
-
-
0040687125
-
Linear algebra
-
North-Holland, Elsevier Science B. V., Amsterdam, Netherlands, 425, 474
-
-, Linear Algebra, Rational Approximation and Orthogonal Polynomials, Studies in computational mathematics, vol. 6, North-Holland, Elsevier Science B. V., Amsterdam, Netherlands, 1997. {425, 474}
-
(1997)
Rational Approximation and Orthogonal Polynomials, Studies in Computational Mathematics
, vol.6
-
-
Bultheel, A.1
Van Barel, M.2
-
38
-
-
0034394306
-
Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices
-
3, 32, 63, 65, 122, 474
-
S. Chandrasekaran and M. Gu, Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices, Linear Algebra and its Applications 313(2000), 107-114. {3, 32, 63, 65, 122, 474}
-
(2000)
Linear Algebra and its Applications
, vol.313
, pp. 107-114
-
-
Chandrasekaran, S.1
Gu, M.2
-
39
-
-
22744448835
-
A fast and stable solver for recursively semi-separable systems of equations
-
V. Olshevsky, ed., Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, USA, 464, 474
-
-, A fast and stable solver for recursively semi-separable systems of equations, Structured Matrices in Mathematics, Computer Science and Engineering, II (V. Olshevsky, ed.), Contemporary Mathematics, vol. 281, American Mathematical Society, Providence, Rhode Island, USA, 2001, pp. 39-53. {464, 474}
-
(2001)
Structured Matrices in Mathematics, Computer Science and Engineering, II
, vol.281
, pp. 39-53
-
-
Chandrasekaran, S.1
Gu, M.2
-
40
-
-
1542403825
-
A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices
-
32, 131, 367, 379, 387, 388, 474
-
-, A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices, Numerische Mathematik 96(2004), no. 4, 723-731. {32, 131, 367, 379, 387, 388, 474}
-
(2004)
Numerische Mathematik
, vol.96
, Issue.4
, pp. 723-731
-
-
Chandrasekaran, S.1
Gu, M.2
-
41
-
-
55749115480
-
A fast QR algorithm for companion matrices
-
351, 474
-
S. Chandrasekaran, M. Gu, J. Xia, and J. Zhu, A fast QR algorithm for companion matrices, Operator Theory: Advances and Applications 179(2007), 111-143. {351, 474}
-
(2007)
Operator Theory: Advances and Applications
, vol.179
, pp. 111-143
-
-
Chandrasekaran, S.1
Gu, M.2
Xia, J.3
Zhu, J.4
-
42
-
-
33645313588
-
Inverse eigenvalue problems: Theory
-
Oxford University Press, New York, USA, 425, 427, 474
-
M. T. Chu and G. H. Golub, Inverse Eigenvalue Problems: Theory, Algorithms and Applications, Numerical Mathematics & Scientific Computations, Oxford University Press, New York, USA, 2005. {425, 427, 474}
-
(2005)
Algorithms and Applications, Numerical Mathematics & Scientific Computations
-
-
Chu, M.T.1
Golub, G.H.2
-
43
-
-
0003462314
-
-
Birkhäuser, Boston, Massachusetts, USA, 68, 80, 474
-
J. K. Cullum and R. A. Willoughby, Lanczos algorithms for large symmetric eigenvalue computations, Birkhäuser, Boston, Massachusetts, USA, 1985. {68, 80, 474}
-
(1985)
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
-
-
Cullum, J.K.1
Willoughby, R.A.2
-
44
-
-
0000659575
-
A divide and conquer method for the symmetric tridiagonal eigenproblem
-
130, 370, 374, 378, 474
-
J. J. M. Cuppen, A divide and conquer method for the symmetric tridiagonal eigenproblem, Numerische Mathematik 36(1981), 177-195. {130, 370, 374, 378, 474}
-
(1981)
Numerische Mathematik
, vol.36
, pp. 177-195
-
-
Cuppen, J.J.M.1
-
45
-
-
34547174625
-
Efficient implementation of the multishift QR algorithm for the unitary eigenvalue problem
-
353, 474
-
R. J. A. David and D. S. Watkins, Efficient implementation of the multishift QR algorithm for the unitary eigenvalue problem, SIAM Journal on Matrix Analysis and Applications 28(2006), no. 3, 623-633. {353, 474}
-
(2006)
SIAM Journal on Matrix Analysis and Applications
, vol.28
, Issue.3
, pp. 623-633
-
-
David, R.J.A.1
Watkins, D.S.2
-
46
-
-
0019551389
-
On the role of the Nevanlinna-Pick problem in circuit and system theory
-
464, 474
-
Ph. Delsarte, Y. V. Genin, and Y. Kamp, On the role of the Nevanlinna-Pick problem in circuit and system theory, International Journal of Circuit Theory and Applications 9(1981), 177-187. {464, 474}
-
(1981)
International Journal of Circuit Theory and Applications
, vol.9
, pp. 177-187
-
-
Delsarte, Ph.1
Genin, Y.V.2
Kamp, Y.3
-
47
-
-
84873107196
-
-
PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, June, 361, 475
-
S. Delvaux, Rank Structured Matrices, PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, June 2007. {361, 475}
-
(2007)
Rank Structured Matrices
-
-
Delvaux, S.1
-
48
-
-
24144443419
-
Orthonormal rational function vectors
-
466, 475
-
S. Delvaux and M. Van Barel, Orthonormal rational function vectors, Numerische Mathematik 100(2005), no. 3, 409-440. {466, 475}
-
(2005)
Numerische Mathematik
, vol.100
, Issue.3
, pp. 409-440
-
-
Delvaux, S.1
Van Barel, M.2
-
49
-
-
58449100316
-
The explicit QR-algorithm for rank structured matrices
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, May, 198, 259, 289, 361, 475
-
-, The explicit QR-algorithm for rank structured matrices, Tech. Report TW459, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, May 2006. {198, 259, 289, 361, 475}
-
(2006)
Tech. Report TW459
-
-
Delvaux, S.1
Van Barel, M.2
-
50
-
-
31544452773
-
Rank structures preserved by the QR-algorithm: The singular case
-
182, 195, 197, 361, 475
-
-, Rank structures preserved by the QR-algorithm: the singular case, Journal of Computational and Applied Mathematics 189(2006), 157-178. {182, 195, 197, 361, 475}
-
(2006)
Journal of Computational and Applied Mathematics
, vol.189
, pp. 157-178
-
-
Delvaux, S.1
Van Barel, M.2
-
51
-
-
33847126104
-
Structures preserved by matrix inversion
-
7, 10, 475
-
-, Structures preserved by matrix inversion, SIAM Journal on Matrix Analysis and Applications 28(2006), no. 1, 213-228. {7, 10, 475}
-
(2006)
SIAM Journal on Matrix Analysis and Applications
, vol.28
, Issue.1
, pp. 213-228
-
-
Delvaux, S.1
Van Barel, M.2
-
52
-
-
27344459494
-
Structures preserved by the QR-algorithm
-
182, 195, 197, 361, 475
-
-, Structures preserved by the QR-algorithm, Journal of Computational and Applied Mathematics 187(2006), no. 1, 29-40. {182, 195, 197, 361, 475}
-
(2006)
Journal of Computational and Applied Mathematics
, vol.187
, Issue.1
, pp. 29-40
-
-
Delvaux, S.1
Van Barel, M.2
-
53
-
-
54849430244
-
A Givens-weight representation for rank structured matrices
-
12, 13, 111, 122, 259, 361, 475
-
-, A Givens-weight representation for rank structured matrices, SIAM Journal on Matrix Analysis and Applications 29(2007), no. 4, 1147-1170. {12, 13, 111, 122, 259, 361, 475}
-
(2007)
SIAM Journal on Matrix Analysis and Applications
, vol.29
, Issue.4
, pp. 1147-1170
-
-
Delvaux, S.1
Van Barel, M.2
-
54
-
-
48249103929
-
A Hessenberg reduction algorithm for rank structured matrices
-
65, 122, 361, 475
-
-, A Hessenberg reduction algorithm for rank structured matrices, SIAM Journal on Matrix Analysis and Applications 29(2007), no. 3, 895-926. {65, 122, 361, 475}
-
(2007)
SIAM Journal on Matrix Analysis and Applications
, vol.29
, Issue.3
, pp. 895-926
-
-
Delvaux, S.1
Van Barel, M.2
-
55
-
-
37549005595
-
Eigenvalue computation for unitary rank structured matrices
-
222, 259, 289, 353, 475
-
-, Eigenvalue computation for unitary rank structured matrices, Journal of Computational and Applied Mathematics 213(2008), no. 1, 268-287. {222, 259, 289, 353, 475}
-
(2008)
Journal of Computational and Applied Mathematics
, vol.213
, Issue.1
, pp. 268-287
-
-
Delvaux, S.1
Van Barel, M.2
-
56
-
-
52949139479
-
A QR-based solver for rank structured matrices
-
158, 175, 181, 361, 475
-
-, A QR-based solver for rank structured matrices, SIAM Journal on Matrix Analysis and Applications 30(2008), no. 2, 464-490. {158, 175, 181, 361, 475}
-
(2008)
SIAM Journal on Matrix Analysis and Applications
, vol.30
, Issue.2
, pp. 464-490
-
-
Delvaux, S.1
Van Barel, M.2
-
57
-
-
39849093448
-
Unitary rank structured matrices
-
122, 175, 353, 475
-
-, Unitary rank structured matrices, Journal of Computational and Applied Mathematics 215(2008), no. 1, 268-287. {122, 175, 353, 475}
-
(2008)
Journal of Computational and Applied Mathematics
, vol.215
, Issue.1
, pp. 268-287
-
-
Delvaux, S.1
Van Barel, M.2
-
58
-
-
0003424372
-
-
SIAM, Philadelphia, Pennsylvania, USA, 24, 68, 70, 80, 157, 160, 475
-
J. W. Demmel, Applied Numerical Linear Algebra, SIAM, Philadelphia, Pennsylvania, USA, 1997. {24, 68, 70, 80, 157, 160, 475}
-
(1997)
Applied Numerical Linear Algebra
-
-
Demmel, J.W.1
-
59
-
-
0004007103
-
-
Kluwer Academic Publishers, Boston, Massachusetts, USA, 181, 298, 475
-
P. Dewilde and A.-J. van der Veen, Time-Varying Systems and Computations, Kluwer Academic Publishers, Boston, Massachusetts, USA, 1998. {181, 298, 475}
-
(1998)
Time-varying Systems and Computations
-
-
Dewilde, P.1
Van Der Veen, A.-J.2
-
60
-
-
0034402712
-
Inner-outer factorization and the inversion of locally finite systems of equations
-
298, 476
-
-, Inner-outer factorization and the inversion of locally finite systems of equations, Linear Algebra and its Applications 313(2000), 53-100. {298, 476}
-
(2000)
Linear Algebra and its Applications
, vol.313
, pp. 53-100
-
-
Dewilde, P.1
Van Der Veen, A.-J.2
-
61
-
-
0348229160
-
Current inverse iteration software can fail
-
270, 476
-
I. S. Dhillon, Current inverse iteration software can fail, BIT 38(1998), 685-704. {270, 476}
-
(1998)
BIT
, vol.38
, pp. 685-704
-
-
Dhillon, I.S.1
-
62
-
-
33144467012
-
Inner deflation for symmetric tridiagonal matrices
-
267, 268, 476
-
I. S. Dhillon and A. N. Malyshev, Inner deflation for symmetric tridiagonal matrices, Linear Algebra and its Applications 358(2003), 139-144. {267, 268, 476}
-
(2003)
Linear Algebra and its Applications
, vol.358
, pp. 139-144
-
-
Dhillon, I.S.1
Malyshev, A.N.2
-
63
-
-
35048837088
-
On computing the spectral decomposition of symmetric arrowhead matrices
-
370, 374, 476
-
F. Diele, N. Mastronardi, M. Van Barel, and E. Van Camp, On computing the spectral decomposition of symmetric arrowhead matrices, Lecture Notes in Computer Science 3044(2004), 932-941. {370, 374, 476}
-
(2004)
Lecture Notes in Computer Science
, vol.3044
, pp. 932-941
-
-
Diele, F.1
Mastronardi, N.2
Van Barel, M.3
Van Camp, E.4
-
64
-
-
0000417182
-
A fully parallel algorithm for the symmetric eigenvalue problem
-
369, 370, 374, 378, 476
-
J. J. Dongarra and D. C. Sorensen, A fully parallel algorithm for the symmetric eigenvalue problem, SIAM Journal on Scientific and Statistical Computation 3(1987), no. 2, 139-154. {369, 370, 374, 378, 476}
-
(1987)
SIAM Journal on Scientific and Statistical Computation
, vol.3
, Issue.2
, pp. 139-154
-
-
Dongarra, J.J.1
Sorensen, D.C.2
-
65
-
-
33750834513
-
On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms
-
65, 122, 476
-
Y. Eidelman, L. Gemignani, and I. C. Gohberg, On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms, Linear Algebra and its Applications 420(2007), no. 1, 86-101. {65, 122, 476}
-
(2007)
Linear Algebra and its Applications
, vol.420
, Issue.1
, pp. 86-101
-
-
Eidelman, Y.1
Gemignani, L.2
Gohberg, I.C.3
-
66
-
-
0032063701
-
A look-ahead block Schur algorithm for diagonal plus semiseparable matrices
-
464, 476
-
Y. Eidelman and I. C. Gohberg, A look-ahead block Schur algorithm for diagonal plus semiseparable matrices, Computers & Mathematics with Applications 35(1997), no. 10, 25-34. {464, 476}
-
(1997)
Computers & Mathematics with Applications
, vol.35
, Issue.10
, pp. 25-34
-
-
Eidelman, Y.1
Gohberg, I.C.2
-
67
-
-
0039446142
-
On a new class of structured matrices
-
14, 298, 476
-
-, On a new class of structured matrices, Integral Equations and Operator Theory 34(1999), 293-324. {14, 298, 476}
-
(1999)
Integral Equations and Operator Theory
, vol.34
, pp. 293-324
-
-
Eidelman, Y.1
Gohberg, I.C.2
-
68
-
-
31244431952
-
A modification of the Dewilde-van der Veen method for inversion of finite structured matrices
-
298, 476
-
-, A modification of the Dewilde-van der Veen method for inversion of finite structured matrices, Linear Algebra and its Applications 343-344(2002), 419-450. {298, 476}
-
(2002)
Linear Algebra and its Applications
, vol.343-344
, pp. 419-450
-
-
Eidelman, Y.1
Gohberg, I.C.2
-
69
-
-
21244440740
-
Eigenstructure of order-onequasiseparable matrices. Three-term and two-term recurrence relations
-
360, 476
-
Y. Eidelman, I. C. Gohberg, and V. Olshevsky, Eigenstructure of order-onequasiseparable matrices. Three-term and two-term recurrence relations, Linear Algebra and its Applications 405(2005), 1-40. {360, 476}
-
(2005)
Linear Algebra and its Applications
, vol.405
, pp. 1-40
-
-
Eidelman, Y.1
Gohberg, I.C.2
Olshevsky, V.3
-
70
-
-
20344378938
-
The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order
-
65, 198, 289, 292, 299, 476
-
-, The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order, Linear Algebra and its Applications 404(2005), 305-324. {65, 198, 289, 292, 299, 476}
-
(2005)
Linear Algebra and its Applications
, vol.404
, pp. 305-324
-
-
Eidelman, Y.1
Gohberg, I.C.2
Olshevsky, V.3
-
71
-
-
0000149521
-
Updating and downdating of orthogonal polynomials with data fitting applications
-
424, 426, 476
-
S. Elhay, G. H. Golub, and J. Kautsky, Updating and downdating of orthogonal polynomials with data fitting applications, SIAM Journal on Matrix Analysis and Applications 12(1991), no. 2, 327-353. {424, 426, 476}
-
(1991)
SIAM Journal on Matrix Analysis and Applications
, vol.12
, Issue.2
, pp. 327-353
-
-
Elhay, S.1
Golub, G.H.2
Kautsky, J.3
-
72
-
-
26644458364
-
Rational Krylov matrices and QR-steps on hermitian diagonalplus- semiseparable matrices
-
222, 354-356, 476
-
D. Fasino, Rational Krylov matrices and QR-steps on hermitian diagonalplus-semiseparable matrices, Numerical Linear Algebra with Applications 12(2005), no. 8, 743-754. {222, 354-356, 476}
-
(2005)
Numerical Linear Algebra with Applications
, vol.12
, Issue.8
, pp. 743-754
-
-
Fasino, D.1
-
73
-
-
0142077182
-
Structural and computational properties of possibly singular semiseparable matrices
-
3, 477
-
D. Fasino and L. Gemignani, Structural and computational properties of possibly singular semiseparable matrices, Linear Algebra and its Applications 340(2001), 183-198. {3, 477}
-
(2001)
Linear Algebra and its Applications
, vol.340
, pp. 183-198
-
-
Fasino, D.1
Gemignani, L.2
-
74
-
-
0013293393
-
A Lanczos type algorithm for the QR-factorization of regular Cauchy matrices
-
447, 450, 451, 477
-
-, A Lanczos type algorithm for the QR-factorization of regular Cauchy matrices, Numerical Linear Algebra with Applications 9(2002), 305-319. {447, 450, 451, 477}
-
(2002)
Numerical Linear Algebra with Applications
, vol.9
, pp. 305-319
-
-
Fasino, D.1
Gemignani, L.2
-
75
-
-
4043086344
-
Direct and inverse eigenvalue problems, for diagonal-plussemiseparable matrices
-
387, 450, 464, 477
-
-, Direct and inverse eigenvalue problems, for diagonal-plussemiseparable matrices, Numerical Algorithms 34(2003), 313-324. {387, 450, 464, 477}
-
(2003)
Numerical Algorithms
, vol.34
, pp. 313-324
-
-
Fasino, D.1
Gemignani, L.2
-
76
-
-
22944456474
-
A Lanczos-type algorithm for the QR factorization of Cauchy-like matrices
-
V. Olshevsky, ed., Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, USA, 447, 450, 477
-
-, A Lanczos-type algorithm for the QR factorization of Cauchy-like matrices, Fast Algorithms for Structured Matrices: Theory and Applications (V. Olshevsky, ed.), Contemporary Mathematics, vol. 323, American Mathematical Society, Providence, Rhode Island, USA, 2003, pp. 91-104. {447, 450, 477}
-
(2003)
Fast Algorithms for Structured Matrices: Theory and Applications
, vol.323
, pp. 91-104
-
-
Fasino, D.1
Gemignani, L.2
-
77
-
-
20344372250
-
Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form
-
Providence, Rhode Island, USA, 32, 64, 122, 477
-
D. Fasino, N. Mastronardi, and M. Van Barel, Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form, Fast Algorithms for Structured Matrices: Theory and Applications, Contemporary Mathematics, vol. 323, American Mathematical Society, Providence, Rhode Island, USA, 2003, pp. 105-118. {32, 64, 122, 477}
-
(2003)
Fast Algorithms for Structured Matrices: Theory and Applications, Contemporary Mathematics, Vol. 323, American Mathematical Society
, pp. 105-118
-
-
Fasino, D.1
Mastronardi, N.2
Van Barel, M.3
-
79
-
-
38249042194
-
Completing a matrix when certain entries of its inverse are specified
-
5, 6, 9, 477
-
M. Fiedler and T. L. Markham, Completing a matrix when certain entries of its inverse are specified, Linear Algebra and its Applications 74(1986), 225-237. {5, 6, 9, 477}
-
(1986)
Linear Algebra and its Applications
, vol.74
, pp. 225-237
-
-
Fiedler, M.1
Markham, T.L.2
-
81
-
-
0041733954
-
Truncated VSV solutions to symmetric rank-deficient problems
-
404, 407, 409, 477
-
R. D. Fierro and P. Chr. Hansen, Truncated VSV solutions to symmetric rank-deficient problems, BIT 42(2002), no. 3, 531-540. {404, 407, 409, 477}
-
(2002)
BIT
, vol.42
, Issue.3
, pp. 531-540
-
-
Fierro, R.D.1
Hansen, P.C.2
-
82
-
-
22944478330
-
UTV expansion pack: Special-purpose rank-revealing algorithms
-
407, 409, 477
-
-, UTV expansion pack: special-purpose rank-revealing algorithms, Numerical Algorithms 40(2005), 47-66. {407, 409, 477}
-
(2005)
Numerical Algorithms
, vol.40
, pp. 47-66
-
-
Fierro, R.D.1
Hansen, P.C.2
-
83
-
-
0033423414
-
UTV tools, Matlab templates for rank-revealing UTV decompositions
-
407, 409, 477
-
R. D. Fierro, P. Chr. Hansen, and P. S. K. Hansen, UTV tools, Matlab templates for rank-revealing UTV decompositions, Numerical Algorithms 20(1999), 165-194. {407, 409, 477}
-
(1999)
Numerical Algorithms
, vol.20
, pp. 165-194
-
-
Fierro, R.D.1
Hansen, P.C.2
Hansen, P.S.K.3
-
84
-
-
0001183454
-
Sur les matrices oscillatoires et complètement non négatives
-
In French, 452, 477
-
F. R. Gantmacher and M. G. Kreǐn, Sur les matrices oscillatoires et complètement non négatives, Compositio Mathematica 4(1937), 445-476, (In French). {452, 477}
-
(1937)
Compositio Mathematica
, vol.4
, pp. 445-476
-
-
Gantmacher, F.R.1
Kreǐn, M.G.2
-
85
-
-
0003631756
-
-
revised ed., AMS Chelsea Publishing, Providence, Rhode Island, USA, 5, 478
-
-, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems, revised ed., AMS Chelsea Publishing, Providence, Rhode Island, USA, 2002. {5, 478}
-
(2002)
Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems
-
-
Gantmacher, F.R.1
Kreǐn, M.G.2
-
87
-
-
0042468810
-
Computational problems and applications of orthogonal polynomials
-
C. Brezinski, L. Gori, and A. Ronveaux, eds., IMACS Annals on Computing and Applied Mathematics, Baltzer Science Publishers, Basel, Switzerland, 426, 478
-
-, Computational problems and applications of orthogonal polynomials, Orthogonal Polynomials and Their Applications (C. Brezinski, L. Gori, and A. Ronveaux, eds.), IMACS Annals on Computing and Applied Mathematics, vol. 9, Baltzer Science Publishers, Basel, Switzerland, 1991, pp. 61-71. {426, 478}
-
(1991)
Orthogonal Polynomials and Their Applications
, vol.9
, pp. 61-71
-
-
Gautschi, W.1
-
88
-
-
0035417529
-
The use of rational functions in numerical quadrature
-
465, 478
-
-, The use of rational functions in numerical quadrature, Journal of Computational and Applied Mathematics 133(2001), 111-126. {465, 478}
-
(2001)
Journal of Computational and Applied Mathematics
, vol.133
, pp. 111-126
-
-
Gautschi, W.1
-
89
-
-
14844339312
-
-
Oxford University Press, New York, USA, 425, 478
-
-, Orthogonal Polynomials: Computation and Approximation, Oxford University Press, New York, USA, 2004. {425, 478}
-
(2004)
Orthogonal Polynomials: Computation and Approximation
-
-
Gautschi, W.1
-
90
-
-
23844490514
-
A unitary Hessenberg QR-based algorithm via semiseparable matrices
-
352, 478
-
L. Gemignani, A unitary Hessenberg QR-based algorithm via semiseparable matrices, Journal of Computational and Applied Mathematics 184(2005), 505-517. {352, 478}
-
(2005)
Journal of Computational and Applied Mathematics
, vol.184
, pp. 505-517
-
-
Gemignani, L.1
-
91
-
-
38149147254
-
Complexity of multiplication with vectors for structured matrices
-
388, 478
-
I. C. Gohberg and V. Olshevsky, Complexity of multiplication with vectors for structured matrices, Linear Algebra and its Applications 202(1994), 163-192. {388, 478}
-
(1994)
Linear Algebra and its Applications
, vol.202
, pp. 163-192
-
-
Gohberg, I.C.1
Olshevsky, V.2
-
92
-
-
0000376665
-
Fast algorithms with preprocessing for matrix-vector multiplication problems
-
388, 478
-
-, Fast algorithms with preprocessing for matrix-vector multiplication problems, Journal of Complexity 10(1994), no. 4, 411-427. {388, 478}
-
(1994)
Journal of Complexity
, vol.10
, Issue.4
, pp. 411-427
-
-
Gohberg, I.C.1
Olshevsky, V.2
-
93
-
-
0000288016
-
Calculating the singular values and pseudoinverse of a matrix
-
44, 55, 170, 478
-
G. H. Golub and W. Kahan, Calculating the singular values and pseudoinverse of a matrix., SIAM Journal on Numerical Analysis 2(1965), 205-224. {44, 55, 170, 478}
-
(1965)
SIAM Journal on Numerical Analysis
, vol.2
, pp. 205-224
-
-
Golub, G.H.1
Kahan, W.2
-
94
-
-
0004236492
-
-
third Johns Hopkins University Press, Baltimore, Maryland, USA, 22-24, 40, 52, 68, 70, 81, 103, 157, 160, 163, 167, 168, 170, 183, 184, 186, 205, 223, 263, 300, 312, 320, 357, 360, 368, 395, 403, 478
-
G. H. Golub and C. F. Van Loan, Matrix Computations, third ed., Johns Hopkins University Press, Baltimore, Maryland, USA, 1996. {22-24, 40, 52, 68, 70, 81, 103, 157, 160, 163, 167, 168, 170, 183, 184, 186, 205, 223, 263, 300, 312, 320, 357, 360, 368, 395, 403, 478}
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
95
-
-
0000223746
-
Calculation of gauss quadrature rules
-
427, 478
-
G. H. Golub and J. H. Welsch, Calculation of gauss quadrature rules, Mathematics of Computation 23(1969), 221-230. {427, 478}
-
(1969)
Mathematics of Computation
, vol.23
, pp. 221-230
-
-
Golub, G.H.1
Welsch, J.H.2
-
96
-
-
38249042117
-
The QR algorithm for unitary Hessenberg matrices
-
353, 424, 478
-
W. B. Gragg, The QR algorithm for unitary Hessenberg matrices, Journal of Computational and Applied Mathematics 16(1986), 1-8. {353, 424, 478}
-
(1986)
Journal of Computational and Applied Mathematics
, vol.16
, pp. 1-8
-
-
Gragg, W.B.1
-
97
-
-
0001190030
-
The numerically stable reconstruction of Jacobi matrices from spectral data
-
419, 424, 425, 465, 478
-
W. B. Gragg and W. J. Harrod, The numerically stable reconstruction of Jacobi matrices from spectral data, Numerische Mathematik 44(1984), 317-335. {419, 424, 425, 465, 478}
-
(1984)
Numerische Mathematik
, vol.44
, pp. 317-335
-
-
Gragg, W.B.1
Harrod, W.J.2
-
99
-
-
0000516088
-
A divide and conquer algorithm for the unitary eigenproblem
-
M. T. Heath, ed., SIAM, Philadelphia, Pennsylvania, USA, 353, 479
-
W. B. Gragg and L. Reichel, A divide and conquer algorithm for the unitary eigenproblem, Hypercube Multiprocessors 1987 (M. T. Heath, ed.), SIAM, Philadelphia, Pennsylvania, USA, 1987, pp. 639-647. {353, 479}
-
(1987)
Hypercube Multiprocessors 1987
, pp. 639-647
-
-
Gragg, W.B.1
Reichel, L.2
-
100
-
-
0000429893
-
A divide and conquer method for unitary and orthogonal eigenproblems
-
424, 479
-
-, A divide and conquer method for unitary and orthogonal eigenproblems, Numerische Mathematik 57(1990), 695-718. {424, 479}
-
(1990)
Numerische Mathematik
, vol.57
, pp. 695-718
-
-
Gragg, W.B.1
Reichel, L.2
-
101
-
-
21844525426
-
A stable and efficient algorithm, for the rankone modification of the symmetric eigenproblem
-
372, 375, 479
-
M. Gu and S. C. Eisenstat, A stable and efficient algorithm, for the rankone modification of the symmetric eigenproblem, SIAM Journal on Matrix Analysis and Applications 15(1994), no. 4, 1266-1276. {372, 375, 479}
-
(1994)
SIAM Journal on Matrix Analysis and Applications
, vol.15
, Issue.4
, pp. 1266-1276
-
-
Gu, M.1
Eisenstat, S.C.2
-
102
-
-
21844526695
-
A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
-
375, 378, 479
-
-, A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem, SIAM Journal on Matrix Analysis and Applications 16(1995), no. 1, 172-191. {375, 378, 479}
-
(1995)
SIAM Journal on Matrix Analysis and Applications
, vol.16
, Issue.1
, pp. 172-191
-
-
Gu, M.1
Eisenstat, S.C.2
-
103
-
-
0347808017
-
A note on matrix inversion
-
5, 9, 479
-
W. H. Gustafson, A note on matrix inversion, Linear Algebra and its Applications 57(1984), 71-73. {5, 9, 479}
-
(1984)
Linear Algebra and its Applications
, vol.57
, pp. 71-73
-
-
Gustafson, W.H.1
-
104
-
-
0036056544
-
Computing symmetric rank-revealing decompositions via triangular factorization
-
404, 405, 407, 479
-
P. Chr. Hansen and P. Y. Yalamov, Computing symmetric rank-revealing decompositions via triangular factorization, SIAM Journal on Matrix Analysis and Applications 23(2001), no. 2, 443-458. {404, 405, 407, 479}
-
(2001)
SIAM Journal on Matrix Analysis and Applications
, vol.23
, Issue.2
, pp. 443-458
-
-
Hansen, P.C.1
Yalamov, P.Y.2
-
105
-
-
22944433887
-
Convergence of the isometric Arnoldi process
-
80, 479
-
S. Helsen, A. B. J. Kuijlaars, and M. Van Barel, Convergence of the isometric Arnoldi process, SIAM Journal on Matrix Analysis and Applications 26(2005), no. 3, 782-809. {80, 479}
-
(2005)
SIAM Journal on Matrix Analysis and Applications
, vol.26
, Issue.3
, pp. 782-809
-
-
Helsen, S.1
Kuijlaars, A.B.J.2
Van Barel, M.3
-
106
-
-
0004094304
-
-
Wiley, West Sussex, United Kingdom, 459, 479
-
P. Henrici, Applied and Computational Complex Analysis, Wiley, West Sussex, United Kingdom, 1974. {459, 479}
-
(1974)
Applied and Computational Complex Analysis
-
-
Henrici, P.1
-
107
-
-
0031166040
-
Computing an eigenvector with inverse iteration
-
270, 479
-
I. C. F. Ipsen, Computing an eigenvector with inverse iteration, SIAM Review 39(1997), no. 2, 254-291. {270, 479}
-
(1997)
SIAM Review
, vol.39
, Issue.2
, pp. 254-291
-
-
Ipsen, I.C.F.1
-
108
-
-
0003946510
-
-
Springer-Verlag, Berlin, Germany, 85, 479
-
I. T. Joliffe, Principal Component Analysis, Springer-Verlag, Berlin, Germany, 1986. {85, 479}
-
(1986)
Principal Component Analysis
-
-
Joliffe, I.T.1
-
109
-
-
0010862818
-
The oscillation of functions of an orthogonal set
-
4, 479
-
O. D. Kellogg, The oscillation of functions of an orthogonal set, American Journal of Mathematics 38(1916), 1-5. {4, 479}
-
(1916)
American Journal of Mathematics
, vol.38
, pp. 1-5
-
-
Kellogg, O.D.1
-
110
-
-
0010931298
-
Orthogonal functions sets arising from integral equations
-
4, 479
-
-, Orthogonal functions sets arising from integral equations, American Journal of Mathematics 40(1918), 145-154. {4, 479}
-
(1918)
American Journal of Mathematics
, vol.40
, pp. 145-154
-
-
Kellogg, O.D.1
-
111
-
-
0031460710
-
Linear complexity algorithm for semiseparable matrices
-
464, 479
-
I. Koltracht, Linear complexity algorithm for semiseparable matrices, Integral Equations and Operator Theory 29(1997), no. 3, 313-319. {464, 479}
-
(1997)
Integral Equations and Operator Theory
, vol.29
, Issue.3
, pp. 313-319
-
-
Koltracht, I.1
-
112
-
-
0034353662
-
Which eigenvalues are found by the Lanczos method?
-
80, 133, 479
-
A. B. J. Kuijlaars, Which eigenvalues are found by the Lanczos method?, SIAM Journal on Matrix Analysis and Applications 22(2000), no. 1, 306-321. {80, 133, 479}
-
(2000)
SIAM Journal on Matrix Analysis and Applications
, vol.22
, Issue.1
, pp. 306-321
-
-
Kuijlaars, A.B.J.1
-
113
-
-
0013137925
-
Solving secular equations stably and efficiently
-
April, 370, 374, 479
-
R.-C. Li, Solving secular equations stably and efficiently, LAPACK Working Note 89, April 1993. {370, 374, 479}
-
(1993)
LAPACK Working Note 89
-
-
Li, R.-C.1
-
114
-
-
0030261088
-
A symmetric rank-revealing Toeplitz matrix decomposition
-
405, 480
-
F. T. Luk and S. Qiao, A symmetric rank-revealing Toeplitz matrix decomposition, Journal of VLSI Signal Processing 14(1996), no. 1, 19-28. {405, 480}
-
(1996)
Journal of VLSI Signal Processing
, vol.14
, Issue.1
, pp. 19-28
-
-
Luk, F.T.1
Qiao, S.2
-
115
-
-
0013420838
-
Fast and stable reduction of diagonal plus semi-separable matrices to tridiagonal and bidiagonal form
-
3, 57, 59, 64, 65, 122, 480
-
N. Mastronardi, S. Chandrasekaran, and S. Van Huffel, Fast and stable reduction of diagonal plus semi-separable matrices to tridiagonal and bidiagonal form, BIT 41(2003), no. 1, 149-157. {3, 57, 59, 64, 65, 122, 480}
-
(2003)
BIT
, vol.41
, Issue.1
, pp. 149-157
-
-
Mastronardi, N.1
Chandrasekaran, S.2
Van Huffel, S.3
-
116
-
-
33846366357
-
A Lanczos-like reduction of symmetric structured matrices into semiseparable ones
-
404, 480
-
N. Mastronardi, M. Schuermans, M. Van Barel, R. Vandebril, and S. Van Huffel, A Lanczos-like reduction of symmetric structured matrices into semiseparable ones, Calcolo 42(2005), no. 3-4, 227-241. {404, 480}
-
(2005)
Calcolo
, vol.42
, Issue.3-4
, pp. 227-241
-
-
Mastronardi, N.1
Schuermans, M.2
Van Barel, M.3
Vandebril, R.4
Van Huffel, S.5
-
117
-
-
17444364161
-
Divide-and-conquer algorithms for computing the eigendecomposition of symmetric diagonal-plussemiseparable matrices
-
32, 131, 367, 387, 480
-
N. Mastronardi, M. Van Barel, and E. Van Camp, Divide-and-conquer algorithms for computing the eigendecomposition of symmetric diagonal-plussemiseparable matrices, Numerical Algorithms 39(2005), no. 4, 379-398. {32, 131, 367, 387, 480}
-
(2005)
Numerical Algorithms
, vol.39
, Issue.4
, pp. 379-398
-
-
Mastronardi, N.1
Van Barel, M.2
Van Camp, E.3
-
118
-
-
31544457051
-
On computing the eigenvectors of a class of structured matrices
-
270, 480
-
N. Mastronardi, M. Van Barel, E. Van Camp, and R. Vandebril, On computing the eigenvectors of a class of structured matrices, Journal of Computational and Applied Mathematics 189(2006), 580-591. {270, 480}
-
(2006)
Journal of Computational and Applied Mathematics
, vol.189
, pp. 580-591
-
-
Mastronardi, N.1
Van Barel, M.2
Van Camp, E.3
Vandebril, R.4
-
119
-
-
31744440915
-
Computing the rank revealing factorization by the semiseparable reduction
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, May, 409, 480
-
N. Mastronardi, M. Van Barel, and R. Vandebril, Computing the rank revealing factorization by the semiseparable reduction, Tech. Report TW418, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, May 2005. {409, 480}
-
(2005)
Tech. Report TW418
-
-
Mastronardi, N.1
Van Barel, M.2
Vandebril, R.3
-
120
-
-
84879517390
-
Numerical solution of a secular equation
-
374, 480
-
A. Melman, Numerical solution of a secular equation, Numerische Mathematik 69(1995), 483-493. {374, 480}
-
(1995)
Numerische Mathematik
, vol.69
, pp. 483-493
-
-
Melman, A.1
-
121
-
-
0031276783
-
A numerical comparison of methods for solving secular equations
-
374, 480
-
-, A numerical comparison of methods for solving secular equations, Journal of Computational and Applied Mathematics 86(1997), 237-249. {374, 480}
-
(1997)
Journal of Computational and Applied Mathematics
, vol.86
, pp. 237-249
-
-
Melman, A.1
-
122
-
-
0031540780
-
A unifying convergence analysis of second-order methods for secular equations
-
374, 480
-
-, A unifying convergence analysis of second-order methods for secular equations, Mathematics of Computation 66(1997), no. 217, 333-344. {374, 480}
-
(1997)
Mathematics of Computation
, vol.66
, Issue.217
, pp. 333-344
-
-
Melman, A.1
-
123
-
-
0032341231
-
Analysis of third-order methods for secular equations
-
374, 480
-
-, Analysis of third-order methods for secular equations, Mathematics of Computation 67(1998), no. 221, 271-286. {374, 480}
-
(1998)
Mathematics of Computation
, vol.67
, Issue.221
, pp. 271-286
-
-
Melman, A.1
-
124
-
-
0000809242
-
A review of the inverse of symmetric tridiagonal and block tridiagonal matrices
-
10, 480
-
G. Meurant, A review of the inverse of symmetric tridiagonal and block tridiagonal matrices, SIAM Journal on Matrix Analysis and Applications 13(1992), 707-728. {10, 480}
-
(1992)
SIAM Journal on Matrix Analysis and Applications
, vol.13
, pp. 707-728
-
-
Meurant, G.1
-
125
-
-
0031116933
-
A unifying construction of orthonormal bases for system identification
-
464, 480
-
B. Ninness and F. Gustafsson, A unifying construction of orthonormal bases for system identification, IEEE Transactions on Automatic Control 42(1997), 515-521. {464, 480}
-
(1997)
IEEE Transactions on Automatic Control
, vol.42
, pp. 515-521
-
-
Ninness, B.1
Gustafsson, F.2
-
126
-
-
38249017274
-
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices
-
374, 480
-
D. P. O'Leary and G. W. Stewart, Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices, Journal of Computational Physics 90(1990), no. 2, 497-505. {374, 480}
-
(1990)
Journal of Computational Physics
, vol.90
, Issue.2
, pp. 497-505
-
-
O'Leary, D.P.1
Stewart, G.W.2
-
127
-
-
0003761695
-
-
PhD thesis, University of London, London, United Kingdom, 395, 481
-
C. C. Paige, The Computation of Eigenvalues and Eigenvectors of Very Large Sparse Matrices, PhD thesis, University of London, London, United Kingdom, 1971. {395, 481}
-
(1971)
The Computation of Eigenvalues and Eigenvectors of Very Large Sparse Matrices
-
-
Paige, C.C.1
-
128
-
-
84896156953
-
A reduction of the matrix eigenproblem to polynomial rootfinding via similarity transforms into arrow-head matrices
-
Department of Computer Science, City University of New York, New York, USA, July, 65, 360, 481
-
V. Y. Pan, A reduction of the matrix eigenproblem to polynomial rootfinding via similarity transforms into arrow-head matrices, Tech. Report TR-2004009, Department of Computer Science, City University of New York, New York, USA, July 2004. {65, 360, 481}
-
(2004)
Tech. Report TR-2004009
-
-
Pan, V.Y.1
-
129
-
-
0003358142
-
The symmetric eigenvalue problem
-
SIAM, Philadelphia, Pennsylvania, USA, 24, 40, 68, 160, 183, 267, 271, 320, 357, 368, 481
-
B. N. Parlett, The Symmetric Eigenvalue Problem, Classics in Applied Mathematics, vol. 20, SIAM, Philadelphia, Pennsylvania, USA, 1998. {24, 40, 68, 160, 183, 267, 271, 320, 357, 368, 481}
-
(1998)
Classics in Applied Mathematics
, vol.20
-
-
Parlett, B.N.1
-
130
-
-
84968487118
-
The Lanczos algorithm with selective reorthogonalization
-
395, 481
-
B. N. Parlett and D. S. Scott, The Lanczos algorithm with selective reorthogonalization, Mathematics of Computation 33(1979), no. 145, 217-238. {395, 481}
-
(1979)
Mathematics of Computation
, vol.33
, Issue.145
, pp. 217-238
-
-
Parlett, B.N.1
Scott, D.S.2
-
131
-
-
36048997262
-
A cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem
-
360, 481
-
B. Plestenjak, M. Van Barel, and E. Van Camp, A cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem, Linear Algebra and its Applications 428(2008), 586-599. {360, 481}
-
(2008)
Linear Algebra and its Applications
, vol.428
, pp. 586-599
-
-
Plestenjak, B.1
Van Barel, M.2
Van Camp, E.3
-
132
-
-
0000509093
-
Fast QR-decomposition of Vandermonde-like matrices and polynomial least squares approximation
-
419, 424, 426, 447, 465, 481
-
L. Reichel, Fast QR-decomposition of Vandermonde-like matrices and polynomial least squares approximation, SIAM Journal on Matrix Analysis and Applications 12(1991), 552-564. {419, 424, 426, 447, 465, 481}
-
(1991)
SIAM Journal on Matrix Analysis and Applications
, vol.12
, pp. 552-564
-
-
Reichel, L.1
-
133
-
-
0013181076
-
Construction of polynomials that are orthogonal with respect to a discrete bilinear form
-
465, 481
-
-, Construction of polynomials that are orthogonal with respect to a discrete bilinear form, Advances in Computational Mathematics 1(1993), 241-258. {465, 481}
-
(1993)
Advances in Computational Mathematics
, vol.1
, pp. 241-258
-
-
Reichel, L.1
-
134
-
-
84966200624
-
Discrete least squares approximation by trigonometric polynomials
-
424, 426, 481
-
L. Reichel, G. S. Ammar, and W. B. Gragg, Discrete least squares approximation by trigonometric polynomials, Mathematics of Computation 57(1991), 273-289. {424, 426, 481}
-
(1991)
Mathematics of Computation
, vol.57
, pp. 273-289
-
-
Reichel, L.1
Ammar, G.S.2
Gragg, W.B.3
-
135
-
-
0039715520
-
-
N. C. Metropolis, A. H. Taub, J. Todd, and C. B. Tompkins, eds., American Mathematical Society, Providence, Rhode Island, 424, 426, 481
-
H. Rutishauser, On Jacobi rotation patterns, Experimental Arithmetics, High Speed Computing and Mathematics, Proceedings of Symposia in Applied Mathematics (N. C. Metropolis, A. H. Taub, J. Todd, and C. B. Tompkins, eds.), vol. 15, American Mathematical Society, Providence, Rhode Island, 1963, pp. 219-239. {424, 426, 481}
-
(1963)
On Jacobi Rotation Patterns, Experimental Arithmetics, High Speed Computing and Mathematics, Proceedings of Symposia in Applied Mathematics
, vol.15
, pp. 219-239
-
-
Rutishauser, H.1
-
136
-
-
0003521777
-
-
Manchester University Press, Manchester, United Kingdom, 68, 80, 481
-
Y. Saad, Numerical Methods for Large Eigenvalue Problems, Manchester University Press, Manchester, United Kingdom, 1992. {68, 80, 481}
-
(1992)
Numerical Methods for Large Eigenvalue Problems
-
-
Saad, Y.1
-
137
-
-
0000682936
-
Analysis of the symmetric lanczos algorithm with reorthogonalization methods
-
395, 481
-
B. Simon, Analysis of the symmetric lanczos algorithm with reorthogonalization methods, Linear Algebra and its Applications 61(1984), 101-131. {395, 481}
-
(1984)
Linear Algebra and its Applications
, vol.61
, pp. 101-131
-
-
Simon, B.1
-
138
-
-
84896175590
-
-
Colloquium Publications, American Mathematical Society, Providence, Rhode Island, USA, 425, 481
-
-, Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory; Part 2: Spectral Theory, Colloquium Publications, vol. 54, American Mathematical Society, Providence, Rhode Island, USA, 2004. {425, 481}
-
(2004)
Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory; Part 2: Spectral Theory
, vol.54
-
-
Simon, B.1
-
139
-
-
84968519566
-
The lanczos algorithm, with partial reorthogonalization
-
395, 482
-
H. D. Simon, The lanczos algorithm, with partial reorthogonalization, Mathematics of Computation 42(1984), no. 165, 115-142. {395, 482}
-
(1984)
Mathematics of Computation
, vol.42
, Issue.165
, pp. 115-142
-
-
Simon, H.D.1
-
140
-
-
0003454919
-
-
SIAM, Philadelphia, Pennsylvania, USA, 157, 160, 482
-
G. W. Stewart, Matrix Algorithms, Volume I: Basic Decompositions, SIAM, Philadelphia, Pennsylvania, USA, 1998. {157, 160, 482}
-
(1998)
Matrix Algorithms, Volume I: Basic Decompositions
-
-
Stewart, G.W.1
-
141
-
-
0033279732
-
The QLP approximation to the singular value decomposition
-
138, 482
-
-, The QLP approximation to the singular value decomposition, SIAM Journal on Scientific and Statistical Computation 20(1999), no. 4, 1336-1348. {138, 482}
-
(1999)
SIAM Journal on Scientific and Statistical Computation
, vol.20
, Issue.4
, pp. 1336-1348
-
-
Stewart, G.W.1
-
142
-
-
0003454919
-
-
SIAM, Philadelphia, Pennsylvania, USA, 40, 160, 265, 482
-
-, Matrix Algorithms, Volume II: Eigensystems, SIAM, Philadelphia, Pennsylvania, USA, 2001. {40, 160, 265, 482}
-
(2001)
Matrix Algorithms, Volume II: Eigensystems
-
-
Stewart, G.W.1
-
143
-
-
0043117802
-
Stability properties of several variants of the unitary Hessenberg QR-algorithm in structured matrices in mathematics
-
V. Olshevsky, ed., Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, USA, 353, 482
-
M. Stewart, Stability properties of several variants of the unitary Hessenberg QR-algorithm in structured matrices in mathematics, Structured Matrices in Mathematics, Computer Science and Engineering, II (V. Olshevsky, ed.), Contemporary Mathematics, vol. 281, American Mathematical Society, Providence, Rhode Island, USA, 2001, pp. 57-72. {353, 482}
-
(2001)
Structured Matrices in Mathematics, Computer Science and Engineering, II
, vol.281
, pp. 57-72
-
-
Stewart, M.1
-
144
-
-
0004073954
-
-
fourth American Mathematical Society, Providence, Rhode Island, USA, 332, 425, 482
-
G. Szego, Orthogonal Polynomials, fourth ed., American Mathematical Society, Providence, Rhode Island, USA, 1975. {332, 425, 482}
-
(1975)
Orthogonal Polynomials
-
-
Szego, G.1
-
145
-
-
0003424374
-
-
SIAM, Philadelphia, Pennsylvania, USA, 24, 40, 68, 157, 160, 170, 482
-
L. N. Trefethen and D. Bau, Numerical Linear Algebra, SIAM, Philadelphia, Pennsylvania, USA, 1997. {24, 40, 68, 157, 160, 170, 482}
-
(1997)
Numerical Linear Algebra
-
-
Trefethen, L.N.1
Bau, D.2
-
146
-
-
20344366883
-
Mosaic ranks for weakly semiseparable matrices
-
M. Griebel, S. Margenov, and P. Y. Yalamov, eds., Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig, Germany, 14, 298, 482
-
E. E. Tyrtyshnikov, Mosaic ranks for weakly semiseparable matrices, Large-Scale Scientific Computations of Engineering and Environmental Problems II (M. Griebel, S. Margenov, and P. Y. Yalamov, eds.), Notes on Numerical Fluid Mechanics, vol. 73, Vieweg, Braunschweig, Germany, 2000, pp. 36-41. {14, 298, 482}
-
(2000)
Large-Scale Scientific Computations of Engineering and Environmental Problems II
, vol.73
, pp. 36-41
-
-
Tyrtyshnikov, E.E.1
-
147
-
-
21144472523
-
A parallel algorithm for discrete least squares rational approximation
-
426, 431, 434, 435, 482
-
M. Van Barel and A. Bultheel, A parallel algorithm for discrete least squares rational approximation, Numerische Mathematik 63(1992), 99-121. {426, 431, 434, 435, 482}
-
(1992)
Numerische Mathematik
, vol.63
, pp. 99-121
-
-
Van Barel, M.1
Bultheel, A.2
-
148
-
-
0028423962
-
Discrete linearized least squares approximation on the unit circle
-
426, 431, 434, 435, 465, 482
-
-, Discrete linearized least squares approximation on the unit circle, Journal of Computational and Applied Mathematics 50(1994), 545-563. {426, 431, 434, 435, 465, 482}
-
(1994)
Journal of Computational and Applied Mathematics
, vol.50
, pp. 545-563
-
-
Van Barel, M.1
Bultheel, A.2
-
149
-
-
0001844098
-
Orthonormal polynomial vectors and least squares approximation for a discrete inner product
-
436, 482
-
-, Orthonormal polynomial vectors and least squares approximation for a discrete inner product, Electronic Transactions on Numerical Analysis 3(1995), 1-23. {436, 482}
-
(1995)
Electronic Transactions on Numerical Analysis
, vol.3
, pp. 1-23
-
-
Van Barel, M.1
Bultheel, A.2
-
150
-
-
17744375933
-
Updating and downdating of orthonormal polynomial vectors and some applications
-
V. Olshevsky, ed., Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, USA, 445, 482
-
-, Updating and downdating of orthonormal polynomial vectors and some applications, Structured Matrices in Mathematics, Computer Science, and Engineering II (V. Olshevsky, ed.), Contemporary Mathematics, vol. 281, American Mathematical Society, Providence, Rhode Island, USA, 2001, pp. 145-162. {445, 482}
-
(2001)
Structured Matrices in Mathematics, Computer Science, and Engineering, II
, vol.281
, pp. 145-162
-
-
Van Barel, M.1
Bultheel, A.2
-
151
-
-
0036992465
-
Orthogonal rational functions and diagonal plus semiseparable matrices
-
F. T. Luk, ed., Proceedings of SPIE, Bellingham, Washington, USA, 464, 483
-
M. Van Barel, D. Fasino, L. Gemignani, and N. Mastronardi, Orthogonal rational functions and diagonal plus semiseparable matrices, Advanced Signal Processing Algorithms, Architectures, and Implementations XII (F. T. Luk, ed.), Proceedings of SPIE, Bellingham, Washington, USA, vol. 4791, 2002, pp. 167-170. {464, 483}
-
(2002)
Advanced Signal Processing Algorithms, Architectures, and Implementations XII
, vol.4791
, pp. 167-170
-
-
Van Barel, M.1
Fasino, D.2
Gemignani, L.3
Mastronardi, N.4
-
152
-
-
22944448381
-
Orthogonal rational functions and structured matrices
-
464, 483
-
-, Orthogonal rational functions and structured matrices, SIAM Journal on Matrix Analysis and Applications 26(2005), no. 3, 810-829. {464, 483}
-
(2005)
SIAM Journal on Matrix Analysis and Applications
, vol.26
, Issue.3
, pp. 810-829
-
-
Van Barel, M.1
Fasino, D.2
Gemignani, L.3
Mastronardi, N.4
-
153
-
-
30344461276
-
Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank k
-
40, 407, 483
-
M. Van Barel, E. Van Camp, and N. Mastronardi, Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank k, Numerical Linear Algebra with Applications 12(2005), 981-1000. {40, 407, 483}
-
(2005)
Numerical Linear Algebra with Applications
, vol.12
, pp. 981-1000
-
-
Van Barel, M.1
Van Camp, E.2
Mastronardi, N.3
-
154
-
-
33144489927
-
An orthogonal similarity reduction of a matrix into semiseparable form
-
27, 40, 78, 88, 98, 132, 483
-
M. Van Barel, R. Vandebril, and N. Mastronardi, An orthogonal similarity reduction of a matrix into semiseparable form, SIAM Journal on Matrix Analysis and Applications 27(2005), no. 1, 176-197. {27, 40, 78, 88, 98, 132, 483}
-
(2005)
SIAM Journal on Matrix Analysis and Applications
, vol.27
, Issue.1
, pp. 176-197
-
-
Van Barel, M.1
Vandebril, R.2
Mastronardi, N.3
-
155
-
-
33748848084
-
-
PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, May, 40, 88, 95, 98, 387, 483
-
E. Van Camp, Diagonal-Plus-Semiseparable Matrices and Their Use in Numerical Linear Algebra, PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, May 2005. {40, 88, 95, 98, 387, 483}
-
(2005)
Diagonal-plus-semiseparable Matrices and Their use in Numerical Linear Algebra
-
-
Van Camp, E.1
-
156
-
-
1442314109
-
Two fast algorithms for solving diagonal-plus-semiseparable linear systems
-
3, 171, 174, 175, 181, 280, 298, 464, 483
-
E. Van Camp, N. Mastronardi, and M. Van Barel, Two fast algorithms for solving diagonal-plus-semiseparable linear systems, Journal of Computational and Applied Mathematics 164-165(2004), 731-747. {3, 171, 174, 175, 181, 280, 298, 464, 483}
-
(2004)
Journal of Computational and Applied Mathematics
, vol.164-165
, pp. 731-747
-
-
Van Camp, E.1
Mastronardi, N.2
Van Barel, M.3
-
157
-
-
33748847478
-
An implicit QR-algorithm for symmetric diagonal-plus-semiseparable matrices
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, March, 130, 197, 219, 222, 250, 259, 483
-
E. Van Camp, M. Van Barel, R. Vandebril, and N. Mastronardi, An implicit QR-algorithm for symmetric diagonal-plus-semiseparable matrices, Tech. Report TW419, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, March 2005. {130, 197, 219, 222, 250, 259, 483}
-
(2005)
Tech. Report TW419
-
-
Van Camp, E.1
Van Barel, M.2
Vandebril, R.3
Mastronardi, N.4
-
158
-
-
0039783416
-
Efficient reduction algorithms for bordered band matrices
-
64, 483
-
S. Van Huffel and H. Park, Efficient reduction algorithms for bordered band matrices, Journal of Numerical Linear Algebra and Applications 2(1995), no. 2, 95-113. {64, 483}
-
(1995)
Journal of Numerical Linear Algebra and Applications
, vol.2
, Issue.2
, pp. 95-113
-
-
Van Huffel, S.1
Park, H.2
-
159
-
-
20344384844
-
-
PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, May, 44, 132, 229, 483
-
R. Vandebril, Semiseparable Matrices and the Symmetric Eigenvalue Problem, PhD thesis, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, May 2004. {44, 132, 229, 483}
-
(2004)
Semiseparable Matrices and the Symmetric Eigenvalue Problem
-
-
Vandebril, R.1
-
160
-
-
33644861727
-
Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoldi (Lanczos)-Ritz values
-
80, 483
-
R. Vandebril and M. Van Barel, Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoldi (Lanczos)-Ritz values, Linear Algebra and its Applications 414(2006), 435-444. {80, 483}
-
(2006)
Linear Algebra and its Applications
, vol.414
, pp. 435-444
-
-
Vandebril, R.1
Van Barel, M.2
-
162
-
-
11144351655
-
A QR-methodfor computing the singular values via semiseparable matrices
-
55, 98, 237, 484
-
R. Vandebril, M. Van Barel, and N. Mastronardi, A QR-methodfor computing the singular values via semiseparable matrices, Numerische Mathematik 99(2004), 163-195. {55, 98, 237, 484}
-
(2004)
Numerische Mathematik
, vol.99
, pp. 163-195
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
163
-
-
27844453929
-
An implicit Q theorem for Hessenberg-like matrices
-
194, 484
-
-, An implicit Q theorem for Hessenberg-like matrices, Mediterranean Journal of Mathematics 2(2005), 59-275. {194, 484}
-
(2005)
Mediterranean Journal of Mathematics
, vol.2
, pp. 59-275
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
164
-
-
25144442638
-
An implicit QR-algorithm for symmetric semiseparable matrices
-
130, 194, 217, 287, 320, 484
-
-, An implicit QR-algorithm for symmetric semiseparable matrices, Numerical Linear Algebra with Applications 12(2005), no. 7, 625-658. {130, 194, 217, 287, 320, 484}
-
(2005)
Numerical Linear Algebra with Applications
, vol.12
, Issue.7
, pp. 625-658
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
165
-
-
26644435288
-
A note on the representation and definition of semiseparable matrices
-
5, 10, 13, 144, 361, 484
-
-, A note on the representation and definition of semiseparable matrices, Numerical Linear Algebra with Applications 12(2005), no. 8, 839-858. {5, 10, 13, 144, 361, 484}
-
(2005)
Numerical Linear Algebra with Applications
, vol.12
, Issue.8
, pp. 839-858
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
166
-
-
84896191896
-
A multiple shift QR-step for structured rank matrices
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, April, 312, 325, 484
-
-, A multiple shift QR-step for structured rank matrices, Tech. Report TW489, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, April 2007. {312, 325, 484}
-
(2007)
Tech. Report TW489
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
167
-
-
52949109844
-
A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, October, 316, 325, 484
-
-, A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices, Tech. Report TW507, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, October 2007. {316, 325, 484}
-
(2007)
Tech. Report TW507
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
168
-
-
84896214091
-
A rational QR-iteration
-
Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, September, 316, 318, 319, 484
-
-, A rational QR-iteration, Tech. Report TW405, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, September 2007. {316, 318, 319, 484}
-
(2007)
Tech. Report TW405
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
169
-
-
61749091633
-
-
Johns Hopkins University Press, Baltimore, Maryland, USA, 1, 5, 7, 8, 10, 171, 174, 175, 181, 280, 283, 289, 298, 484
-
-, Matrix Computations and Semiseparable Matrices, Volume I: Linear Systems, Johns Hopkins University Press, Baltimore, Maryland, USA, 2008. {1, 5, 7, 8, 10, 171, 174, 175, 181, 280, 283, 289, 298, 484}
-
(2008)
Matrix Computations and Semiseparable Matrices, Volume I: Linear Systems
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
170
-
-
58449109710
-
A parallel QR-factorization/solver of structured rank matrices
-
290, 484
-
-, A parallel QR-factorization/solver of structured rank matrices, Electronic Transactions on Numerical Analysis 30(2008), 144-167. {290, 484}
-
(2008)
Electronic Transactions on Numerical Analysis
, vol.30
, pp. 144-167
-
-
Vandebril, R.1
Van Barel, M.2
Mastronardi, N.3
-
171
-
-
33748871723
-
On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form
-
98, 107, 132, 484
-
R. Vandebril, E. Van Camp, M. Van Barel, and N. Mastronardi, On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form, Numerische Mathematik 104(2006), 205-239. {98, 107, 132, 484}
-
(2006)
Numerische Mathematik
, vol.104
, pp. 205-239
-
-
Vandebril, R.1
Van Camp, E.2
Van Barel, M.3
Mastronardi, N.4
-
172
-
-
31744436847
-
Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal
-
33, 40, 95, 125, 484
-
-, Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal, Numerische Mathematik 102(2006), 709-726. {33, 40, 95, 125, 484}
-
(2006)
Numerische Mathematik
, vol.102
, pp. 709-726
-
-
Vandebril, R.1
Van Camp, E.2
Van Barel, M.3
Mastronardi, N.4
-
173
-
-
0034949475
-
SVDMAN - Singular value decomposition analysis of microarray data
-
85, 484
-
M. E. Wall, P. A. Dyck, and T. S. Brettin, SVDMAN - singular value decomposition analysis of microarray data, Bioinformatics 17(2001), no. 6, 566-568. {85, 484}
-
(2001)
Bioinformatics
, vol.17
, Issue.6
, pp. 566-568
-
-
Wall, M.E.1
Dyck, P.A.2
Brettin, T.S.3
-
174
-
-
2542430932
-
Singular value decomposition and principal component analysis
-
D. P. Berrar, W. Dubitzky, and M. Granzow, eds., Kluwer Academic Publishers, Boston, Massachusetts, USA, 85, 485
-
M. E. Wall, A. Rechtsteiner, and L. M. Rocha, Singular value decomposition and principal component analysis, A Practical Approach to Microarray Data Analysis (D. P. Berrar, W. Dubitzky, and M. Granzow, eds.), Kluwer Academic Publishers, Boston, Massachusetts, USA, 2003, pp. 1-20. {85, 485}
-
(2003)
A Practical Approach to Microarray Data Analysis
, pp. 1-20
-
-
Wall, M.E.1
Rechtsteiner, A.2
Rocha, L.M.3
-
175
-
-
0036790288
-
Convergence of the shifted QR algorithm, for unitary Hessenberg matrices
-
353, 485
-
T. L. Wang, Z. J. and W. B. Gragg, Convergence of the shifted QR algorithm, for unitary Hessenberg matrices, Mathematics of Computation 71(2002), no. 240, 1473-1496. {353, 485}
-
(2002)
Mathematics of Computation
, vol.71
, Issue.240
, pp. 1473-1496
-
-
Wang, T.L.1
Gragg, W.B.2
-
176
-
-
0037232526
-
Convergence of the unitary QR algorithm with unimodular Wilkinson shift
-
353, 485
-
-, Convergence of the unitary QR algorithm with unimodular Wilkinson shift, Mathematics of Computation 72(2003), no. 241, 375-385. {353, 485}
-
(2003)
Mathematics of Computation
, vol.72
, Issue.241
, pp. 375-385
-
-
Wang, T.L.1
Gragg, W.B.2
-
177
-
-
0001300294
-
Understanding the QR algorithm
-
81, 98, 159, 316, 485
-
D. S. Watkins, Understanding the QR algorithm, SIAM Review 24(1982), no. 4, 427-440. {81, 98, 159, 316, 485}
-
(1982)
SIAM Review
, vol.24
, Issue.4
, pp. 427-440
-
-
Watkins, D.S.1
-
178
-
-
0027657519
-
Some perspectives on the eigenvalue problem
-
81, 98, 159, 485
-
-, Some perspectives on the eigenvalue problem, SIAM Review 35(1993), no. 3, 430-471. {81, 98, 159, 485}
-
(1993)
SIAM Review
, vol.35
, Issue.3
, pp. 430-471
-
-
Watkins, D.S.1
-
179
-
-
0001118747
-
QR-like algorithms-an overview of convergence theory and practice
-
J. Renegar, M. Shub, and S. Smale, eds., Lectures in Applied Mathematics, American Mathematical Society, Providence, Rhode Island, USA, 81, 88, 96, 98, 103, 159, 316, 360, 485
-
-, QR-like algorithms-an overview of convergence theory and practice, The Mathematics of Numerical Analysis (J. Renegar, M. Shub, and S. Smale, eds.), Lectures in Applied Mathematics, vol. 32, American Mathematical Society, Providence, Rhode Island, USA, 1996, pp. 879-893. {81, 88, 96, 98, 103, 159, 316, 360, 485}
-
(1996)
The Mathematics of Numerical Analysis
, vol.32
, pp. 879-893
-
-
Watkins, D.S.1
-
180
-
-
40749088804
-
-
SIAM, Philadelphia, Pennsylvania, USA, 160, 485
-
-, The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods, SIAM, Philadelphia, Pennsylvania, USA, 2007. {160, 485}
-
(2007)
The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods
-
-
Watkins, D.S.1
-
181
-
-
0000630233
-
Chasing algorithms for the eigenvalue problem
-
58, 206, 300, 485
-
D. S. Watkins and L. Elsner, Chasing algorithms for the eigenvalue problem, SIAM Journal on Matrix Analysis and Applications 12(1991), no. 2, 374-384. {58, 206, 300, 485}
-
(1991)
SIAM Journal on Matrix Analysis and Applications
, vol.12
, Issue.2
, pp. 374-384
-
-
Watkins, D.S.1
Elsner, L.2
-
182
-
-
0002732714
-
Convergence of algorithms of decomposition type for the eigenvalue problem
-
81, 84, 88, 93, 96 98, 103, 104, 106, 159, 316, 318, 485
-
-, Convergence of algorithms of decomposition type for the eigenvalue problem, Linear Algebra and its Applications 143(1991), 19-47. {81, 84, 88, 93, 96 98, 103, 104, 106, 159, 316, 318, 485}
-
(1991)
Linear Algebra and its Applications
, vol.143
, pp. 19-47
-
-
Watkins, D.S.1
Elsner, L.2
-
183
-
-
21344478071
-
Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem
-
58, 206, 485
-
-, Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem, SIAM Journal on Matrix Analysis and Applications 15(1994), no. 3, 943-967. {58, 206, 485}
-
(1994)
SIAM Journal on Matrix Analysis and Applications
, vol.15
, Issue.3
, pp. 943-967
-
-
Watkins, D.S.1
Elsner, L.2
-
184
-
-
0000416833
-
Global convergence of tridiagonal QR-algorithm with origin shifts
-
205, 485
-
J. H. Wilkinson, Global convergence of tridiagonal QR-algorithm with origin shifts, Linear Algebra and its Applications 1(1968), 409-420. {205, 485}
-
(1968)
Linear Algebra and its Applications
, vol.1
, pp. 409-420
-
-
Wilkinson, J.H.1
-
185
-
-
0003660674
-
The algebraic eigenvalue problem
-
Oxford University Press, New York, USA, 160, 268, 359, 485
-
-, The Algebraic Eigenvalue Problem, Numerical Mathematics and Scientific Computation, Oxford University Press, New York, USA, 1999. {160, 268, 359, 485}
-
(1999)
Numerical Mathematics and Scientific Computation
-
-
Wilkinson, J.H.1
-
186
-
-
0346065708
-
Matrix and operator extensions
-
Amsterdam, Netherlands, 10, 485
-
H. J. Woerdeman, Matrix and Operator Extensions, CWI Tract, vol. 68, Centre for Mathematics and Computer Science, Amsterdam, Netherlands, 1989. {10, 485}
-
(1989)
CWI Tract, Vol. 68, Centre for Mathematics and Computer Science
-
-
Woerdeman, H.J.1
-
187
-
-
77955439420
-
A matrix and its inverse: Revisiting minimal rank completions
-
10, 486
-
-, A matrix and its inverse: revisiting minimal rank completions, Operator Theory: Advances and Applications 179(2008), 329-338. {10, 486}
-
(2008)
Operator Theory: Advances and Applications
, vol.179
, pp. 329-338
-
-
Woerdeman, H.J.1
-
188
-
-
0037197936
-
Reverse engineering gene networks using singular value decomposition and robust regression
-
85, 486
-
K. S. Yeung, J. Tegner, and J. J. Collins, Reverse engineering gene networks using singular value decomposition and robust regression, Proceedings of the National Academy of Sciences of the United States of America 99(2002), 6163-6168. {85, 486}
-
(2002)
Proceedings of the National Academy of Sciences of the United States of America
, vol.99
, pp. 6163-6168
-
-
Yeung, K.S.1
Tegner, J.2
Collins, J.J.3
-
189
-
-
0034800371
-
Principal component analysis for clustering gene expression data
-
85, 486
-
M.-C. K. S. Yeung and W. L. Ruzzo, Principal component analysis for clustering gene expression data, Bioinformatics 17(2001), no. 9, 763-774. {85, 486}
-
(2001)
Bioinformatics
, vol.17
, Issue.9
, pp. 763-774
-
-
Yeung, S.K.M.-C.1
Ruzzo, W.L.2
-
190
-
-
0039123306
-
A two-way chasing scheme for reducing a symmetric arrowhead matrix to tridiagonal form
-
64, 486
-
H. Zha, A two-way chasing scheme for reducing a symmetric arrowhead matrix to tridiagonal form, Numerical Linear Algebra with Applications 1(1992), no. 1, 49-57. {64, 486}
-
(1992)
Numerical Linear Algebra with Applications
, vol.1
, Issue.1
, pp. 49-57
-
-
Zha, H.1
-
191
-
-
0033454559
-
Subspace iterative methods for eigenvalue problems
-
81, 98, 159, 486
-
T. Zhang, G. H. Golub, and K. H. Law, Subspace iterative methods for eigenvalue problems, Linear Algebra and its Applications 294(1999), no. 1-3, 239-258. {81, 98, 159, 486}
-
(1999)
Linear Algebra and its Applications
, vol.294
, Issue.1-3
, pp. 239-258
-
-
Zhang, T.1
Golub, G.H.2
Law, K.H.3
|