-
1
-
-
0003706460
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
E. ANDERSON, Z. BAI, C. H. BISCHOF, J. W. DEMMEL, J. J. DONGARRA, J. J. DU CROZ, A. GREENBAUM, S. J. HAMMARLING, A. MCKENNEY, S. OSTROUCHOV, AND D. C. SORENSEN, LAPACK Users' Guide, Release 2.0. 2nd ed., Society for Industrial and Applied Mathematics, Philadelphia, PA, 1995.
-
(1995)
LAPACK Users' Guide, Release 2.0. 2nd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.H.3
Demmel, J.W.4
Dongarra, J.J.5
Du Croz, J.J.6
Greenbaum, A.7
Hammarling, S.J.8
McKenney, A.9
Ostrouchov, S.10
Sorensen, D.C.11
-
3
-
-
84966228742
-
Some stable methods for calculating inertia and solving symmetric linear systems
-
J. R. BUNCH AND L. KAUFMAN, Some stable methods for calculating inertia and solving symmetric linear systems, Math. Comp., 31 (1977), pp. 163-179.
-
(1977)
Math. Comp.
, vol.31
, pp. 163-179
-
-
Bunch, J.R.1
Kaufman, L.2
-
4
-
-
0015200767
-
Direct methods for solving symmetric indefinite systems of linear equations
-
J. R. BUNCH AND B. N. PARLETT, Direct methods for solving symmetric indefinite systems of linear equations, SIAM J. Numer. Anal., 8 (1971), pp. 639-655.
-
(1971)
SIAM J. Numer. Anal.
, vol.8
, pp. 639-655
-
-
Bunch, J.R.1
Parlett, B.N.2
-
5
-
-
67650189185
-
A block version of the Eskow Schnabel modified Cholesky factorization
-
Dept. Informatique et Maths Appls., ENSEEIHT-IRIT, 31071 Toulouse Cedex, France
-
M. J. DAYDÉ, A Block Version of the Eskow Schnabel Modified Cholesky Factorization, Technical report RT/APO/95/8, Dept. Informatique et Maths Appls., ENSEEIHT-IRIT, 31071 Toulouse Cedex, France, 1995.
-
(1995)
Technical Report RT/APO/95/8
-
-
Daydé, M.J.1
-
6
-
-
0041089112
-
-
Report RAL-95-010, Atlas Centre, Rutherford Appleton Laboratory, Didcot, Oxon, UK
-
M. J. DAYDÉ, J.-Y. L'EXCELLENT, AND N. I. M. GOULD, On the Use of Element-By-Element Preconditioners to Solve Large Scale Partially Separable Optimization Problems, Report RAL-95-010, Atlas Centre, Rutherford Appleton Laboratory, Didcot, Oxon, UK, 1995.
-
(1995)
On the Use of Element-by-Element Preconditioners to Solve Large Scale Partially Separable Optimization Problems
-
-
Daydé, M.J.1
L'Excellent, J.-Y.2
Gould, N.I.M.3
-
7
-
-
0003555195
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
J. J. DONGARRA, J. R. BUNCH, C. B. MOLER, AND G. W. STEWART, LINPACK Users' Guide, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1979.
-
(1979)
LINPACK Users' Guide
-
-
Dongarra, J.J.1
Bunch, J.R.2
Moler, C.B.3
Stewart, G.W.4
-
8
-
-
0000914013
-
The factorization of sparse symmetric indefinite matrices
-
I. S. DUFF, N. I. M. GOULD, J. K. REID, J. A. SCOTT, AND K. TURNER, The factorization of sparse symmetric indefinite matrices, IMA J. Numer. Anal., 11 (1991), pp. 181-204.
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 181-204
-
-
Duff, I.S.1
Gould, N.I.M.2
Reid, J.K.3
Scott, J.A.4
Turner, K.5
-
9
-
-
0000220943
-
Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite
-
I. S. DUFF, J. K. REID, N. MUNSKGAARD, AND H. B. NIELSEN, Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite, J. Inst. Math. Appl., 23 (1979), pp. 235-250.
-
(1979)
J. Inst. Math. Appl.
, vol.23
, pp. 235-250
-
-
Duff, I.S.1
Reid, J.K.2
Munskgaard, N.3
Nielsen, H.B.4
-
10
-
-
0016357685
-
Newton-type methods for unconstrained and linearly constrained optimization
-
P. E. GILL AND W. MURRAY, Newton-type methods for unconstrained and linearly constrained optimization, Math. Programming, 7 (1974), pp. 311-350.
-
(1974)
Math. Programming
, vol.7
, pp. 311-350
-
-
Gill, P.E.1
Murray, W.2
-
11
-
-
0004240547
-
-
Academic Press, London
-
P. E. GILL, W. MURRAY, AND M. H. WRIGHT, Practical Optimization, Academic Press, London, 1981.
-
(1981)
Practical Optimization
-
-
Gill, P.E.1
Murray, W.2
Wright, M.H.3
-
12
-
-
0000379660
-
Computing a nearest symmetric positive semidefinite matrix
-
N. J. HIGHAM, Computing a nearest symmetric positive semidefinite matrix, Linear Algebra Appl., 103 (1988), pp. 103-118.
-
(1988)
Linear Algebra Appl.
, vol.103
, pp. 103-118
-
-
Higham, N.J.1
-
13
-
-
0024143903
-
FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (Algorithm 674)
-
N. J. HIGHAM, FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (Algorithm 674), ACM Trans. Math. Software, 14 (1988), pp. 381-396.
-
(1988)
ACM Trans. Math. Software
, vol.14
, pp. 381-396
-
-
Higham, N.J.1
-
14
-
-
0005579471
-
The test matrix toolbox for MATLAB (Version 3.0)
-
Manchester Centre for Computational Mathematics, Manchester, England
-
N. J. HIGHAM, The Test Matrix Toolbox for MATLAB (Version 3.0), Numerical Analysis report 276, Manchester Centre for Computational Mathematics, Manchester, England, 1995.
-
(1995)
Numerical Analysis Report
, vol.276
-
-
Higham, N.J.1
-
16
-
-
0031538118
-
Stability of the diagonal pivoting method with partial pivoting
-
N. J. HIGHAM, Stability of the diagonal pivoting method with partial pivoting, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 52-65.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 52-65
-
-
Higham, N.J.1
-
17
-
-
85033883655
-
Modifying the inertia of matrices arising in optimization
-
to appear
-
N. J. HIGHAM AND SHEUNG HUN CHENG, Modifying the inertia of matrices arising in optimization, Linear Algebra Appl., to appear.
-
Linear Algebra Appl.
-
-
Higham, N.J.1
Cheng, S.H.2
-
19
-
-
0001818862
-
On the use of directions of negative curvature in a modified Newton method
-
J. J. MORÉ AND D. C. SORENSEN, On the use of directions of negative curvature in a modified Newton method, Math. Programming. 16 (1979), pp. 1-20.
-
(1979)
Math. Programming
, vol.16
, pp. 1-20
-
-
Moré, J.J.1
Sorensen, D.C.2
-
20
-
-
0001347358
-
Modified Cholesky factorizations for sparse preconditioners
-
T. SCHLICK, Modified Cholesky factorizations for sparse preconditioners, SIAM J. Sci. Comput., 14 (1993), pp. 424-445.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 424-445
-
-
Schlick, T.1
-
22
-
-
0000485973
-
The efficient generation of random orthogonal matrices with an application to condition estimators
-
G. W. STEWART, The efficient generation of random orthogonal matrices with an application to condition estimators. SIAM J. Numer. Anal., 17 (1980), pp. 403-409.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 403-409
-
-
Stewart, G.W.1
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