-
1
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
E. ANDERSON, Z. BAI, C. BISCHOF, J. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, S. OSTROUCHOV, AND D. SORENSEN, LAPACK Users' Guide, 2nd ed., SIAM, Philadelphia, PA, 1994.
-
(1994)
LAPACK Users' Guide, 2nd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Demmel, J.4
Dongarra, J.5
Du Croz, J.6
Greenbaum, A.7
Hammarling, S.8
Mckenney, A.9
Ostrouchov, S.10
Sorensen, D.11
-
2
-
-
21844492426
-
On the use of certain matrix algebras associated with discrete trigonometric transforms in matrix displacement decomposition
-
E. BOZZO AND C. DI FIORE, On the use of certain matrix algebras associated with discrete trigonometric transforms in matrix displacement decomposition, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 312-326.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 312-326
-
-
Bozzo, E.1
Di Fiore, C.2
-
3
-
-
0000102913
-
Stability of methods for solving Toeplitz systems of equations
-
J. R. BUNCH, Stability of methods for solving Toeplitz systems of equations, SIAM J. Sci. Statist. Comput., 6 (1985), pp. 349-364.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 349-364
-
-
Bunch, J.R.1
-
4
-
-
0026862959
-
A lookahead Levinson algorithm for general Toeplitz systems
-
T. F. CHAN AND P. C. HANSEN, A lookahead Levinson algorithm for general Toeplitz systems, IEEE Proc. Signal Processing, 40 (1992), pp. 1079-1090.
-
(1992)
IEEE Proc. Signal Processing
, vol.40
, pp. 1079-1090
-
-
Chan, T.F.1
Hansen, P.C.2
-
5
-
-
0032343445
-
A fast stable solver for nonsymmetric Toeplitz and quasi-Toeplitz systems of linear equations
-
S. CHANDRASEKARAN AND A. H. SAYED, A fast stable solver for nonsymmetric Toeplitz and quasi-Toeplitz systems of linear equations, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 107-139.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 107-139
-
-
Chandrasekaran, S.1
Sayed, A.H.2
-
6
-
-
0030519188
-
Stabilizing the fast generalized Schur algorithm
-
S. CHANDRASEKARAN AND A. H. SAYED, Stabilizing the fast generalized Schur algorithm, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 950-983.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 950-983
-
-
Chandrasekaran, S.1
Sayed, A.H.2
-
7
-
-
21144451635
-
Generalized displacement structure for block-Toeplitz, Toeplitz-block, and Toeplitz-derived matrices
-
J. CHUN AND T. KAILATH, Generalized displacement structure for block-Toeplitz, Toeplitz-block, and Toeplitz-derived matrices, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 114-128.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 114-128
-
-
Chun, J.1
Kailath, T.2
-
8
-
-
0001112325
-
The numerical stability of Levinson-Durbin algorithm for Toeplitz systems of equations
-
G. CYBENKO, The numerical stability of Levinson-Durbin algorithm for Toeplitz systems of equations, SIAM J. Sci. Statist. Comput., 1 (1980), pp. 303-319.
-
(1980)
SIAM J. Sci. Statist. Comput.
, vol.1
, pp. 303-319
-
-
Cybenko, G.1
-
10
-
-
0001883973
-
Hankel and Loewner matrices
-
M. FIEDLER, Hankel and Loewner matrices, Linear Algebra Appl., 58 (1984), pp. 75-95.
-
(1984)
Linear Algebra Appl.
, vol.58
, pp. 75-95
-
-
Fiedler, M.1
-
11
-
-
84968505008
-
Fast Gaussian elimination with partial pivoting for matrices with displacement structure
-
I. GOHBERG, T. KAILATH, AND V. OLSHEVSKY, Fast Gaussian elimination with partial pivoting for matrices with displacement structure, Math. Comp., 64 (1995), pp. 1557-1576.
-
(1995)
Math. Comp.
, vol.64
, pp. 1557-1576
-
-
Gohberg, I.1
Kailath, T.2
Olshevsky, V.3
-
12
-
-
38149147254
-
Complexity of multiplication with vectors for structured matrices
-
I. GOHBERG AND V. OLSHEVSKY, Complexity of multiplication with vectors for structured matrices, Linear Algebra Appl., 202 (1994), pp. 163-192.
-
(1994)
Linear Algebra Appl.
, vol.202
, pp. 163-192
-
-
Gohberg, I.1
Olshevsky, V.2
-
13
-
-
0000536004
-
Fast algorithm for matrix Nehari problem
-
Systems and Networks: Mathematical Theory and Applications, U. Helmke, R. Mennicken, and J. Sauers, eds., Akademie Verlag, Berlin
-
I. GOHBERG AND V. OLSHEVSKY, Fast algorithm for matrix Nehari problem, in Systems and Networks: Mathematical Theory and Applications, Proc. of the International Symposium MTNS-93, U. Helmke, R. Mennicken, and J. Sauers, eds., Akademie Verlag, Berlin, 2 (1994), pp. 687-690.
-
(1994)
Proc. of the International Symposium MTNS-93
, vol.2
, pp. 687-690
-
-
Gohberg, I.1
Olshevsky, V.2
-
14
-
-
0001926832
-
Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems
-
I. GOHBERG AND V. OLSHEVSKY, Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems, Integral Equations Oper. Theory, 20 (1994), pp. 44-83.
-
(1994)
Integral Equations Oper. Theory
, vol.20
, pp. 44-83
-
-
Gohberg, I.1
Olshevsky, V.2
-
15
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. GOLUB AND C. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations, 3rd Ed.
-
-
Golub, G.1
Van Loan, C.2
-
16
-
-
0003787099
-
Look-Ahead Levinson and Schur Algorithms for Non-Hermitian Toeplitz Systems
-
IPS Supercomputing, ETH-Zürich, Switzerland
-
M. H. GUTKNECHT AND HOCHBRUCK M., Look-Ahead Levinson and Schur Algorithms for Non-Hermitian Toeplitz Systems, IPS Research Report 93-11, IPS Supercomputing, ETH-Zürich, Switzerland, 1993.
-
(1993)
IPS Research Report 93-11
-
-
Gutknecht, M.H.1
Hochbruck, M.2
-
17
-
-
0002638254
-
Inversion of generalized Cauchy matrices and other classes of structured matrices
-
G. HEINIG, Inversion of generalized Cauchy matrices and other classes of structured matrices, in Linear Algebra in Signal Processing, IMA Vol. Math. Appl., 69 (1994), pp. 95-114.
-
(1994)
Linear Algebra in Signal Processing, IMA Vol. Math. Appl.
, vol.69
, pp. 95-114
-
-
Heinig, G.1
-
18
-
-
0000927803
-
Fast inversion of Toeplitz-plus-Hankel matrices
-
G. HEINIG, P. JANKOWSKI, AND K. ROST, Fast inversion of Toeplitz-plus-Hankel matrices, Numer. Math, 52 (1988), pp. 665-682.
-
(1988)
Numer. Math
, vol.52
, pp. 665-682
-
-
Heinig, G.1
Jankowski, P.2
Rost, K.3
-
19
-
-
0002675246
-
Algebraic methods for Toeplitz-like matrices and operators
-
G. HEINIG AND K. ROST, Algebraic methods for Toeplitz-like matrices and operators, Oper. Theory, 13 (1984), pp. 109-127.
-
(1984)
Oper. Theory
, vol.13
, pp. 109-127
-
-
Heinig, G.1
Rost, K.2
-
21
-
-
0017951648
-
Displacement ranks of matrices and linear equations
-
T. KAILATH, S. KUNG, AND M. MORF, Displacement ranks of matrices and linear equations, J. Math. Anal. Appl., 68 (1979), pp. 395-407.
-
(1979)
J. Math. Anal. Appl.
, vol.68
, pp. 395-407
-
-
Kailath, T.1
Kung, S.2
Morf, M.3
-
22
-
-
0009257037
-
Fast algorithms for generalized displacement structures
-
H. Kimura and S. Kodama, eds., Mita Press, Japan
-
T. KAILATH AND A. H. SAYED, Fast algorithms for generalized displacement structures, in Recent Advances in Mathematical Theory of Systems, Control, Networks, and Signal Processing, Vol. II, H. Kimura and S. Kodama, eds., Mita Press, Japan, 1992, pp. 27-32.
-
(1992)
Recent Advances in Mathematical Theory of Systems, Control, Networks, and Signal Processing
, vol.2
, pp. 27-32
-
-
Kailath, T.1
Sayed, A.H.2
-
23
-
-
0000665794
-
Displacement structure: Theory and applications
-
T. KAILATH AND A. H. SAYED, Displacement structure: Theory and applications, SIAM Rev., 37 (1995), pp. 297-386.
-
(1995)
SIAM Rev.
, vol.37
, pp. 297-386
-
-
Kailath, T.1
Sayed, A.H.2
-
24
-
-
84966229708
-
On computations with dense structured matrices
-
V. PAN, On computations with dense structured matrices, Math. Comp., 55 (1990), pp. 179-190.
-
(1990)
Math. Comp.
, vol.55
, pp. 179-190
-
-
Pan, V.1
-
25
-
-
21144466758
-
The use of pivoting to improve the numerical performance of Toeplitz matrix algorithms
-
D. R. SWEET, The use of pivoting to improve the numerical performance of Toeplitz matrix algorithms, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 468-493.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 468-493
-
-
Sweet, D.R.1
-
26
-
-
84946574293
-
Error analysis of a fast partial pivoting method for structured matrices
-
Proc. of SPIE, T. Luk, ed.
-
D. R. SWEET AND R. P. BRENT, Error analysis of a fast partial pivoting method for structured matrices, in Adv. Signal Proc. Algorithms, Proc. of SPIE, T. Luk, ed., 2363 (1995), pp. 266-280.
-
(1995)
Adv. Signal Proc. Algorithms
, vol.2363
, pp. 266-280
-
-
Sweet, D.R.1
Brent, R.P.2
-
27
-
-
21144459737
-
The Prolate matrix
-
J. M. VARAH, The Prolate matrix, Linear Algebra Appl., 187 (1993), pp. 269-278.
-
(1993)
Linear Algebra Appl.
, vol.187
, pp. 269-278
-
-
Varah, J.M.1
-
28
-
-
84945709312
-
Error analysis of direct methods of matrix inversion
-
J. H. WILKINSON, Error analysis of direct methods of matrix inversion, J. Assoc. Comput. Mach., 10 (1961), pp. 281-330.
-
(1961)
J. Assoc. Comput. Mach.
, vol.10
, pp. 281-330
-
-
Wilkinson, J.H.1
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