-
1
-
-
0016034996
-
On the numerical properties of an iterative method for computing the moore-penrose generalized inverse
-
T. S0derstr0m, G. W. Stewart, On the Numerical Properties of an Iterative Method for Computing the Moore-Penrose Generalized Inverse, SIAM Journal on Numerical Analysis, 11, 61-74, 1974.
-
(1974)
SIAM Journal on Numerical Analysis
, vol.11
, pp. 61-74
-
-
S0derstr0m, T.1
Stewart, G.W.2
-
2
-
-
0012063917
-
An improved newton iteration for the generalized inverse of a matrix, with applications
-
V. Y. Pan, R. Schreiber, An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications, SIAM Journal on Scientific and Statistical Computing, 12, 5, 1109-1131, 1991.
-
(1991)
SIAM Journal on Scientific and Statistical Computing
, vol.12
, Issue.5
, pp. 1109-1131
-
-
Pan, V.Y.1
Schreiber, R.2
-
3
-
-
0004236492
-
-
3rd edition, The Johns Hopkins University Press, Baltimore, Maryland
-
G. H. Golub, C. F. Van Loan, Matrix Computations, 3rd edition, The Johns Hopkins University Press, Baltimore, Maryland, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
4
-
-
0004094905
-
-
SIAM, Philadelphia
-
G. W. Stewart, Matrix Algorithms, Vol I: Basic Decompositions, SIAM, Philadelphia, 1998.
-
(1998)
Matrix Algorithms
-
-
Stewart, G.W.1
-
5
-
-
0004094905
-
-
SIAM, Philadelphia, first edition), 2001 (second edition
-
G. W. Stewart, Matrix Algorithms, Vol II: Eigensystems, SIAM, Philadelphia, 1998 (first edition), 2001 (second edition).
-
(1998)
Matrix Algorithms
-
-
Stewart, G.W.1
-
9
-
-
0001710505
-
Analysis of a complerx statistocal variable into principal components
-
H. Hotelling, Analysis of a Complerx Statistocal Variable into Principal Components, J. of Educational Psysh., 24, 417-441, 498-520, 1933.
-
(1933)
J. of educational psysh
, vol.24
, Issue.417-441
, pp. 498-520
-
-
Hotelling, H.1
-
10
-
-
84979324358
-
Iterative berechnung der reciproken matrix
-
G. Schultz, Iterative Berechnung der Reciproken Matrix, Z. Angew. Meth. Mech., 13, 57-59, 1933.
-
(1933)
Z. Angew. Meth. Mech
, vol.13
, pp. 57-59
-
-
Schultz, G.1
-
11
-
-
84968467377
-
A note on iterative method for generalized inversion of matrices
-
A. Ben-Israel, A Note on Iterative Method for Generalized Inversion of Matrices, Mathematics of Computation, 20, 439-440, 1966.
-
(1966)
Mathematics of Computation
, vol.20
, pp. 439-440
-
-
Ben-Israel, A.1
-
12
-
-
0041853707
-
On iterative computation of generalized inverses and associated projections
-
A. Ben-Israel, D. Cohen, On Iterative Computation of Generalized Inverses and Associated Projections, SIAM Journal on Numerical Analysis, 3, 410-419, 1966.
-
(1966)
SIAM Journal on Numerical Analysis
, vol.3
, pp. 410-419
-
-
Ben-Israel, A.1
Cohen, D.2
-
13
-
-
33644589708
-
Computing generalized inverses and eigenvalues of symmetric matrices using systolic arrays
-
(edited by R. Glowinski and J.-L. Lions), North-Holland, Amsterdam
-
R. Schreiber, Computing Generalized Inverses and Eigenvalues of Symmetric Matrices Using Systolic Arrays, in Computing Methods in Applied Scence and En- geneering (edited by R. Glowinski and J.-L. Lions), North-Holland, Amsterdam, 1984.
-
(1984)
Computing Methods in Applied Scence and En- Geneering
-
-
Schreiber, R.1
-
14
-
-
0024859275
-
Fast and efficient parallel solution of dense linear systems
-
V. Y. Pan, J. Reif, Fast and Efficient Parallel Solution of Dense Linear Systems, Computers and Math, (with Applications), 17, 11, 1481-1491, 1989.
-
(1989)
Computers and Math, (With Applications)
, vol.17
, Issue.11
, pp. 1481-1491
-
-
Pan, V.Y.1
Reif, J.2
-
15
-
-
26844572830
-
Newton-like iteration based on cubic polynomials for structured matrices
-
G. Codevico, V. Y. Pan, M. Van Barel, Newton-like Iteration Based on Cubic Polynomials for Structured Matrices, Numerical Algorithms, 36, 365-380, 2004.
-
(2004)
Numerical Algorithms
, vol.36
, pp. 365-380
-
-
Codevico, G.1
Pan, V.Y.2
Van Barel, M.3
-
16
-
-
27644573654
-
Approximate inversion of matrices in the process of solving a hypersingular integral equation
-
Translated from JVM i MF, 45, 2, 315-326, 2005
-
I. V. Oceledetz, E. E. Tyrtyshnikov, Approximate Inversion of Matrices in the Process of Solving a Hypersingular Integral Equation, Computational Math, and Math. Physics, 45, 2, 302-313, 2005 (Translated from JVM i MF, 45, 2, 315-326, 2005).
-
(2005)
Computational Math, and Math. Physics
, vol.45
, Issue.2
, pp. 302-313
-
-
Oceledetz, I.V.1
Tyrtyshnikov, E.E.2
-
17
-
-
27644545829
-
Tensor properties of multilevel toeplitz and related matrices
-
V. Olshevsky, I.V. Oseledets, and E.E. Tyrtyshnikov, Tensor Properties of Multilevel Toeplitz and Related Matrices, Linear Algebra and Its Applications, 412, 1-21, 2006.
-
(2006)
Linear Algebra and Its Applications
, vol.412
, pp. 1-21
-
-
Olshevsky, V.1
Oseledets, I.V.2
Tyrtyshnikov, E.E.3
-
18
-
-
67349229944
-
Superfast inversion of two- level toeplitz matrices using newton iteration and tensor-displacement structure
-
V. Olshevsky, I.V. Oseledets, and E.E. Tyrtyshnikov, Superfast Inversion of Two- Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure, Operator Theory: Advances and Applications, 179, 229-240, 2008.
-
(2008)
Operator Theory: Advances and Applications
, vol.179
, pp. 229-240
-
-
Olshevsky, V.1
Oseledets, I.V.2
Tyrtyshnikov, E.E.3
-
19
-
-
0017951648
-
Displacement ranks of matrices and linear equations
-
T. Kailath, S.-Y. Kung, M. Morf, Displacement Ranks of Matrices and Linear Equations, J. Math. Anal. Appl., 68(2), 395-407, 1979.
-
(1979)
J. Math. Anal. Appl
, vol.68
, Issue.2
, pp. 395-407
-
-
Kailath, T.1
Kung, S.-Y.2
Morf, M.3
-
20
-
-
38149147254
-
Complexity of multiplication with vectors for structured matrices
-
I. Gohberg, V. Olshevsky, Complexity of Multiplication with Vectors for Structured Matrices, Linear Algebra and Its Applications, 202, 163-192, 1994.
-
(1994)
Linear Algebra and Its Applications
, vol.202
, pp. 163-192
-
-
Gohberg, I.1
Olshevsky, V.2
-
22
-
-
0041412877
-
Inversion of displacement operators
-
V. Y. Pan, X. Wang, Inversion of Displacement Operators, SIAM Journal on Matrix Analysis and Applications, 24, 3, 660-677, 2003.
-
(2003)
SIAM Journal on Matrix Analysis and Applications
, vol.24
, Issue.3
, pp. 660-677
-
-
Pan, V.Y.1
Wang, X.2
-
23
-
-
38249015327
-
Parallel solution of toeplitz-like linear systems
-
V. Y. Pan, Parallel Solution of Toeplitz-like Linear Systems, J. of Complexity, 8, 1-21, 1992.
-
(1992)
J. of Complexity
, vol.8
, pp. 1-21
-
-
Pan, V.Y.1
-
24
-
-
0027595846
-
Concurrent iterative algorithm for toepliz-like linear systems
-
V. Y. Pan, Concurrent Iterative Algorithm for Toepliz-like Linear Systems, IEEE Transactions on Parallel and Distributed Systems, 4, 5, 592-600, 1993.
-
(1993)
IEEE Transactions on Parallel and Distributed Systems
, vol.4
, Issue.5
, pp. 592-600
-
-
Pan, V.Y.1
-
25
-
-
21144462386
-
Decreasing the displacement rank of a matrix
-
V. Y. Pan, Decreasing the Displacement Rank of a Matrix, SIAM Journal on Matrix Analysis and Applications, 14, 1, 118-121, 1993.
-
(1993)
SIAM Journal on Matrix Analysis and Applications
, vol.14
, Issue.1
, pp. 118-121
-
-
Pan, V.Y.1
-
26
-
-
0001759943
-
Newton’s iteration for structured matrices amd linear systems of equations
-
(edited by T. Kailath and A. H. Sayed), SIAM Publications, Philadelphia
-
V. Y. Pam, S. Branham, R. Rosholt, A. Zheng, Newton’s Iteration for Structured Matrices amd Linear Systems of Equations, SIAM volume on Fast Reliable Algorithms for Matrices with Structure (edited by T. Kailath and A. H. Sayed), 189-210, SIAM Publications, Philadelphia, 1999.
-
(1999)
SIAM Volume on Fast Reliable Algorithms for Matrices with Structure
, pp. 189-210
-
-
Pam, V.Y.1
Branham, S.2
Rosholt, R.3
Zheng, A.4
-
27
-
-
84944108328
-
Newton’s iteration for the inversion of structured matrices
-
(edited by D. Bini, E. Tyrtyshnikov and P. Yalamov, Nova Science Publishers, USA
-
V. Y. Pam, Y. Rami, Newton’s Iteration for the Inversion of Structured Matrices, in Structured Matrices: Recent Developments in Theory and Computation, (edited by D. Bini, E. Tyrtyshnikov and P. Yalamov), 79-90, Nova Science Publishers, USA, 2001.
-
(2001)
Structured Matrices: Recent Developments in Theory and Computation
, pp. 79-90
-
-
Pam, V.Y.1
Rami, Y.2
-
28
-
-
0346744416
-
Approximate displacement rank and applications
-
Providence, RI
-
D. A. Bini, B. Meini, Approximate Displacement Rank and Applications, in AMS Conference –Structured Matrices in Operator Theory, Control, Signal and Image Processing—, Boulder, 1999 (edited by V. Olshevsky), American Math. Society, 215-232, Providence, RI, 2001.
-
(2001)
AMS Conference –Structured Matrices in Operator Theory, Control, Signal and Image Processing—, Boulder, 1999 (Edited by V. Olshevsky), American Math. Society
, pp. 215-232
-
-
Bini, D.A.1
Meini, B.2
-
29
-
-
84924422763
-
Structured matrices and newton's iteration: Unified approach
-
V. Y. Pan, Y. Rami, X. Wang, Structured Matrices and Newton's Iteration: Unified Approach, Linear Algebra and Its Applications, 343-344, 233-265, 2002.
-
(2002)
Linear Algebra and Its Applications
, vol.343-344
, pp. 233-265
-
-
Pan, V.Y.1
Rami, Y.2
Wang, X.3
-
30
-
-
2042437068
-
Iterative inversion of structured matrices
-
Algebraic and numerical computing
-
V. Y. Pam, M. Van Barel, X. Wang, G. Codevico, Iterative Inversion of Structured Matrices, Theoretical Computer Science, 315, 2-3 (SpecialIssue on Algebraic and Numerical Computing), 581-592, 2004.
-
(2004)
Theoretical Computer Science
, vol.315
, pp. 581-592
-
-
Pam, V.Y.1
Van Barel, M.2
Wang, X.3
Codevico, G.4
-
31
-
-
33845343264
-
A bibliography on semiseparable matrices
-
R. Vamdebril, M. Van Barel, G. Golub, N. Mastronardi, A Bibliography on Semiseparable Matrices, Calcolo, 42, 3-4, 249-270, 2005.
-
(2005)
Calcolo
, vol.42
, Issue.3-4
, pp. 249-270
-
-
Vamdebril, R.1
Van Barel, M.2
Golub, G.3
Mastronardi, N.4
-
32
-
-
21144476055
-
Improved parallel computations with toeplitz-like and hankel-like matrices
-
D. Bini, V. Y. Pan, Improved Parallel Computations with Toeplitz-like and Hankel-like Matrices, Linear Algebra and Its Applications, 188/189, 3-29, 1993.
-
(1993)
Linear Algebra and Its Applications
, vol.188-189
, pp. 3-29
-
-
Bini, D.1
Pan, V.Y.2
-
33
-
-
0003751005
-
-
Fundamental Algorithms, Birkhauser, Boston
-
D. Bini, V. Y. Pan, Polynomial and Matrix Computations, Vol.l: Fundamental Algorithms, Birkhauser, Boston, 1994.
-
(1994)
Polynomial and Matrix Computations
-
-
Bini, D.1
Pan, V.Y.2
-
34
-
-
0031101947
-
Newton’s iteration for inversion of cauchy-like and other structured matrices
-
V. Y. Pan, A. Zheng, X. Huang, O. Dias, Newton’s Iteration for Inversion of Cauchy-like and Other Structured Matrices, Journal of Complexity, 13, 108-124, 1997.
-
(1997)
Journal of Complexity
, vol.13
, pp. 108-124
-
-
Pan, V.Y.1
Zheng, A.2
Huang, X.3
Dias, O.4
-
35
-
-
32944478245
-
Proc. Of the second conference on numerical analysis and applications
-
(edited by L. Vulkov, J. Was- niewsky and P. Yalamov), Springer, Berlin, 2001
-
V. Y. Pan, A Homotopic Residual Correction Process, Proc. of the Second Conference on Numerical Analysis and Applications (edited by L. Vulkov, J. Was- niewsky and P. Yalamov), Lecture Notes in Computer Science, 1988, 644-649, Springer, Berlin, 2001.
-
(1988)
Lecture Notes in Computer Science
, pp. 644-649
-
-
Pan, V.Y.1
Homotopic Residual Correction Process, A.2
-
36
-
-
32944474417
-
Homotopic residual correction processes
-
V. Y. Pan, M. Kunin, R. Rosholt, H. Kodal, Homotopic Residual Correction Processes, Math, of Computation, 75, 345-368, 2006.
-
(2006)
Math, of Computation
, vol.75
, pp. 345-368
-
-
Pan, V.Y.1
Kunin, M.2
Rosholt, R.3
Kodal, H.4
-
37
-
-
34447303522
-
New homotopic/factorization and symmetrization techniques for newton’s and newton/structured iteration
-
V. Y. Pm, New Homotopic/Factorization and Symmetrization Techniques for Newton’s and Newton/Structured Iteration, Computer and Math, with Applications, 54, 721-729, 2007.
-
(2007)
Computer and Math, with Applications
, vol.54
, pp. 721-729
-
-
Pm, V.Y.1
-
38
-
-
84966229708
-
Computations with dense structured matrices
-
Proc. version in Proc. Annual ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation (ISSAC’89), 34-42, ACM Press, New York, 1989
-
V. Y. Pan, Computations with Dense Structured Matrices, Math, of Comp., 55(191), 179-190, 1990. Proc. version in Proc. Annual ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation (ISSAC’89), 34-42, ACM Press, New York, 1989.
-
(1990)
Math, of Comp
, vol.55
, Issue.191
, pp. 179-190
-
-
Pan, V.Y.1
-
39
-
-
84968505008
-
Past gaussian blimination with partial pivoting for matrices with displacement structure
-
I. Gohberg, T. Kailath, V. Olshevsky, Past Gaussian Blimination with Partial Pivoting for Matrices with Displacement Structure, Math, of Comp., 64(212), 1557-1576, 1995.
-
(1995)
Math, of Comp
, vol.64
, Issue.212
, pp. 1557-1576
-
-
Gohberg, I.1
Kailath, T.2
Olshevsky, V.3
-
40
-
-
84969747322
-
Computations in the null spaces with additive preconditioning, technical report tr 2007009
-
Graduate Center, City University of New York, April
-
V. Y. Pan, Computations in the Null Spaces with Additive Preconditioning, Technical Report TR 2007009, CUNY Ph.D. Program in Computer Science, Graduate Center, City University of New York, April 2007. Available at http://www.es. gc.cuny.edu/tr/techreport.php?id=352
-
(2007)
Program in Computer Science
-
-
Pan, V.Y.1
-
41
-
-
84969670400
-
Solving homogeneous linear systems with weakly random additive preprocessing
-
Graduate Center, the City University of New York
-
V. Y. Pan, G. Qian, Solving Homogeneous Linear Systems with Weakly Random Additive Preprocessing, Technical Report TR 2008009, CUNY Ph.D. Program in Computer Science, Graduate Center, the City University of New York, 2008. Available at http://www.cs.gc.cimy.edu/tr/techreport.php?id=352
-
(2008)
Program in Computer Science
-
-
Pan, V.Y.1
Qian, G.2
-
42
-
-
44649102752
-
Additive preconditioning for matrix computations
-
Graduate Center, the City University of New York
-
V. Y. Pan, D. Ivolgin, B. Murphy, R. B. Rosholt, Y. Tang, X. Yan, Additive Preconditioning for Matrix Computations, Tech. Report TR 2008004, Ph.D. Program in Computer Science, Graduate Center, the City University of New York, 2008. Available at http://www.cs.gc.cuny.edu/tr/techreport.php?id=352 Proceedings version in Proc. of the Third International Computer Science Symposium in Russia (CSR 2008), Lecture Notes in Computer Science (LNCS), 5010, 372-383, 2008.
-
(2008)
Program in Computer Science
-
-
Pan, V.Y.1
Ivolgin, D.2
Murphy, B.3
Rosholt, R.B.4
Tang, Y.5
Yan, X.6
-
43
-
-
84969682903
-
Additive preconditioning, eigenspaces, and the inverse iteration
-
press
-
V. Y. Pan, X. Yan, Additive Preconditioning, Eigenspaces, and the Inverse Iteration, Linear Algebra and Its Applications, in press.
-
Linear Algebra and Its Applications
-
-
Pan, V.Y.1
Yan, X.2
-
44
-
-
84969698953
-
Schur aggregation for linear systems and determinants
-
press
-
V. Y. Pan, D. Grady, B. Murphy, G. Qian, R. B. Rosholt, A. Ruslanov, Schur Aggregation for Linear Systems and Determinants, Theoretical Computer Science, Special Issue on Symbolic-Numerical Algorithms (D.A. Bini, V.Y. Pan, and J. Verschelde, editors), in press.
-
Theoretical computer science
-
-
. Pan, V.Y.1
Grady, D.2
Murphy, B.3
Qian, G.4
Rosholt, R.B.5
Ruslanov, A.6
|