-
1
-
-
0001055305
-
Checking robust non-singularity of a general tridiagonal matrix in linear time
-
I. BAR-ON, B. CODENOTTI, AND M. LEONCINI, Checking robust non-singularity of a general tridiagonal matrix in linear time, BIT, 36 (1996), pp. 206-220.
-
(1996)
BIT
, vol.36
, pp. 206-220
-
-
Bar-On, I.1
Codenotti, B.2
Leoncini, M.3
-
2
-
-
0031531915
-
A fast parallel Cholesky decomposition algorithm for tridiagonal symmetric matrices
-
I. BAR-ON, B. CODENOTTI, AND M. LEONCINI, A fast parallel Cholesky decomposition algorithm for tridiagonal symmetric matrices, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 403-418.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 403-418
-
-
Bar-On, I.1
Codenotti, B.2
Leoncini, M.3
-
3
-
-
0012912018
-
Fast and Reliable Parallel Solution of Bidiagonal Systems
-
Istituto di Matematica Computazionale del CNR, Pisa, submitted for publication
-
I. BAR-ON AND M. LEONCINI, Fast and Reliable Parallel Solution of Bidiagonal Systems, Tech. Rep. B4-96-08, Istituto di Matematica Computazionale del CNR, Pisa, 1996, submitted for publication.
-
(1996)
Tech. Rep. B4-96-08
-
-
Bar-On, I.1
Leoncini, M.2
-
5
-
-
22444455354
-
Stable solution of tridiagonal systems
-
I. BAR-ON AND M. LEONCINI, Stable solution of tridiagonal systems, Numer. Algorithms, 18 (1998), pp. 361-388.
-
(1998)
Numer. Algorithms
, vol.18
, pp. 361-388
-
-
Bar-On, I.1
Leoncini, M.2
-
6
-
-
0013003790
-
Reliable solution of bidiagonal systems with applications
-
I. BAR-ON AND M. LEONCINI, Reliable solution of bidiagonal systems with applications, BIT, 39 (1999), pp. 403-416.
-
(1999)
BIT
, vol.39
, pp. 403-416
-
-
Bar-On, I.1
Leoncini, M.2
-
7
-
-
0001790982
-
The componentwise distance to the nearest singular matrix
-
J. DEMMEL, The componentwise distance to the nearest singular matrix, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 10-19.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 10-19
-
-
Demmel, J.1
-
8
-
-
0032395502
-
Reliable computation of the condition number of a tridiagonal matrix in O(n) time
-
I. S. DHILLON, Reliable computation of the condition number of a tridiagonal matrix in O(n) time, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 776-796.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 776-796
-
-
Dhillon, I.S.1
-
10
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. V. LOAN, Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD, 1989.
-
(1989)
Matrix Computations, 2nd Ed.
-
-
Golub, G.H.1
Loan, C.F.V.2
-
11
-
-
0012031750
-
Efficient algorithms for computing the condition number of a tridiagonal matrix
-
N. J. HIGHAM, Efficient algorithms for computing the condition number of a tridiagonal matrix, SIAM J. Sci. Stat. Comput., 7 (1986), pp. 150-165.
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 150-165
-
-
Higham, N.J.1
-
12
-
-
0001075864
-
The accuracy of solutions to triangular systems
-
N. J. HIGHAM, The accuracy of solutions to triangular systems, SIAM J. Numer. Anal., 26 (1989), pp. 1252-1265.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 1252-1265
-
-
Higham, N.J.1
-
13
-
-
0001283328
-
Bounding the error in Gaussian elimination for tridiagonal systems
-
N. J. HIGHAM, Bounding the error in Gaussian elimination for tridiagonal systems, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 521-530.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, pp. 521-530
-
-
Higham, N.J.1
-
14
-
-
0026212389
-
Algorithm 694: A collection of test matrices in MATLAB
-
N. J. HIGHAM, Algorithm 694: A collection of test matrices in MATLAB, ACM Trans. Math. Software, 17 (1991), pp. 289-305.
-
(1991)
ACM Trans. Math. Software
, vol.17
, pp. 289-305
-
-
Higham, N.J.1
-
16
-
-
0000809242
-
A review on the inverse of symmetric tridiagonal and block tridiagonal matrices
-
G. MEURANT, A review on the inverse of symmetric tridiagonal and block tridiagonal matrices, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 707-728.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 707-728
-
-
Meurant, G.1
-
17
-
-
33845220799
-
Computability of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
-
W. OETTLI AND W. PRAGER, Computability of approximate solution of linear equations with given error bounds for coefficients and right-hand sides, Numer. Math., 6 (1964), pp. 405-409.
-
(1964)
Numer. Math.
, vol.6
, pp. 405-409
-
-
Oettli, W.1
Prager, W.2
-
18
-
-
0027307460
-
Checking robust nonsingularity is NP-Hard
-
S. POLJAK AND J. ROHN, Checking robust nonsingularity is NP-Hard, Math. Control, Signals Systems, 6 (1993), pp. 1-9.
-
(1993)
Math. Control, Signals Systems
, vol.6
, pp. 1-9
-
-
Poljak, S.1
Rohn, J.2
-
21
-
-
0018492360
-
Scaling for numerical stability in Gaussian elimination
-
R. D. SKEEL, Scaling for numerical stability in Gaussian elimination, J. Assoc. Comput. Mach., 26 (1979), pp. 494-526.
-
(1979)
J. Assoc. Comput. Mach.
, vol.26
, pp. 494-526
-
-
Skeel, R.D.1
-
22
-
-
84966248432
-
Iterative refinement implies numerical stability for Gaussian elimination
-
R. D. SKEEL, Iterative refinement implies numerical stability for Gaussian elimination, Math. Comp., 35 (1980), pp. 817-832.
-
(1980)
Math. Comp.
, vol.35
, pp. 817-832
-
-
Skeel, R.D.1
-
23
-
-
0003660674
-
-
Oxford University Press, Oxford, UK, Reprinted in Oxford Science Publications
-
J. H. WILKINSON, The Algebraic Eigenvalue Problem, Oxford University Press, Oxford, UK, 1965. Reprinted in Oxford Science Publications, 1988.
-
(1965)
The Algebraic Eigenvalue Problem
-
-
Wilkinson, J.H.1
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