-
1
-
-
0034411639
-
Numerical approximation of the product of the square root of a matrix with a vector
-
E. J. ALLEN, J. BAGLAMA, AND S. K. BOYD, Numerical approximation of the product of the square root of a matrix with a vector, Linear Algebra Appl., 310 (2000), pp. 167-181.
-
(2000)
Linear Algebra Appl
, vol.310
, pp. 167-181
-
-
ALLEN, E.J.1
BAGLAMA, J.2
BOYD, S.K.3
-
3
-
-
0002864202
-
A theoretical comparison of the Arnoldi and GMRES algorithms
-
P. N. BROWN, A theoretical comparison of the Arnoldi and GMRES algorithms, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 58-78.
-
(1991)
SIAM J. Sci. Statist. Comput
, vol.12
, pp. 58-78
-
-
BROWN, P.N.1
-
4
-
-
0031209066
-
A Krylov projection method for systems of ODEs
-
E. CELLEDONI AND I. MORET, A Krylov projection method for systems of ODEs, Appl. Numer. Math., 24 (1997), pp. 365-378.
-
(1997)
Appl. Numer. Math
, vol.24
, pp. 365-378
-
-
CELLEDONI, E.1
MORET, I.2
-
5
-
-
1842865578
-
A Schur-Parlett algorithm for computing matrix functions
-
P. I. DAVIES AND N. J. HIGHAM, A Schur-Parlett algorithm for computing matrix functions, SIAM J. Matrix Anal. Appl., 25 (2003), pp. 464-485.
-
(2003)
SIAM J. Matrix Anal. Appl
, vol.25
, pp. 464-485
-
-
DAVIES, P.I.1
HIGHAM, N.J.2
-
8
-
-
0000446481
-
Two polynomial methods of calculating functions of symmetric matrices
-
V. L. DRUSKIN AND L. A. KNIZHNERMAN, Two polynomial methods of calculating functions of symmetric matrices, Comput. Math. Math. Phys., 29 (1989), pp. 112-121.
-
(1989)
Comput. Math. Math. Phys
, vol.29
, pp. 112-121
-
-
DRUSKIN, V.L.1
KNIZHNERMAN, L.A.2
-
9
-
-
84985376656
-
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic
-
V. L. DRUSKIN AND L. A. KNIZHNERMAN, Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic, Numer. Linear Algebra Appl., 2 (1995), pp. 205-217.
-
(1995)
Numer. Linear Algebra Appl
, vol.2
, pp. 205-217
-
-
DRUSKIN, V.L.1
KNIZHNERMAN, L.A.2
-
10
-
-
0034319856
-
Analysis of acceleration strategies for restarted minimal residual methods
-
M. EIERMANN, O. G. ERNST, AND O. SCHNEIDER, Analysis of acceleration strategies for restarted minimal residual methods, J. Comput. Appl. Math., 123 (2000), pp. 261-292.
-
(2000)
J. Comput. Appl. Math
, vol.123
, pp. 261-292
-
-
EIERMANN, M.1
ERNST, O.G.2
SCHNEIDER, O.3
-
11
-
-
84971138045
-
Polynomial approximation of entire functions and rate of growth of Taylor coefficients
-
M. FREUND AND E. GÖRLICH, Polynomial approximation of entire functions and rate of growth of Taylor coefficients, Proc. Edinb. Math. Soc., 28 (1985), pp. 341-348.
-
(1985)
Proc. Edinb. Math. Soc
, vol.28
, pp. 341-348
-
-
FREUND, M.1
GÖRLICH, E.2
-
12
-
-
0041590252
-
Gauss-quadratures associated with the Arnoldi process and the Lanczos algorithm
-
M. S. Moonen, G. H. Golub, and B. L. R. de Moor, eds, Kluwer Academic Publishers, Dordrecht
-
R. W. FREUND AND M. HOCHBRUCK, Gauss-quadratures associated with the Arnoldi process and the Lanczos algorithm, in Linear Algebra for Large-Scale and Real-Time Applications, M. S. Moonen, G. H. Golub, and B. L. R. de Moor, eds., Kluwer Academic Publishers, Dordrecht, 1993, pp. 377-380.
-
(1993)
Linear Algebra for Large-Scale and Real-Time Applications
, pp. 377-380
-
-
FREUND, R.W.1
HOCHBRUCK, M.2
-
13
-
-
38249009170
-
Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
-
R. W. FREUND, Quasi-kernel polynomials and their use in non-Hermitian matrix iterations, J. Comput. Appl. Math., 43 (1992), pp. 135-158.
-
(1992)
J. Comput. Appl. Math
, vol.43
, pp. 135-158
-
-
FREUND, R.W.1
-
14
-
-
0000269389
-
Efficient solution of parabolic equations by Krylov approximation methods
-
E. GALLOPOULOS AND Y. SAAD, Efficient solution of parabolic equations by Krylov approximation methods, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 1236-1264.
-
(1992)
SIAM J. Sci. Statist. Comput
, vol.13
, pp. 1236-1264
-
-
GALLOPOULOS, E.1
SAAD, Y.2
-
15
-
-
0004131235
-
-
AMS Chelsea, Providence, RI
-
F. R. GANTMACHER, The Theory of Matrices, Vol. I, AMS Chelsea, Providence, RI, 1959.
-
(1959)
The Theory of Matrices
, vol.1
-
-
GANTMACHER, F.R.1
-
17
-
-
0347799731
-
On Krylov subspace approximations to the matrix exponential operator
-
M. HOCHBRUCK AND C LUBICH, On Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal., 34 (1997), pp. 1911-1925.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 1911-1925
-
-
HOCHBRUCK, M.1
LUBICH, C.2
-
18
-
-
0037354371
-
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
-
C MOLER AND C F. VAN LOAN, Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later, SIAM Rev., 45 (2003), pp. 3-49.
-
(2003)
SIAM Rev
, vol.45
, pp. 3-49
-
-
MOLER, C.1
VAN LOAN, C.F.2
-
19
-
-
0035360316
-
An interpolatory approximation of the matrix exponential based on Faber polynomials
-
I. MORET AND P. NOVATI, An interpolatory approximation of the matrix exponential based on Faber polynomials, J. Comput. Appl. Math., 131 (2001), pp. 361-380.
-
(2001)
J. Comput. Appl. Math
, vol.131
, pp. 361-380
-
-
MORET, I.1
NOVATI, P.2
-
20
-
-
20744436664
-
Interpolating functions of matrices on zeros of quasi-kernel polynomials
-
I. MORET AND P. NOVATI, Interpolating functions of matrices on zeros of quasi-kernel polynomials, Numer. Linear Algebra Appl., 12 (2005), pp. 337-353.
-
(2005)
Numer. Linear Algebra Appl
, vol.12
, pp. 337-353
-
-
MORET, I.1
NOVATI, P.2
-
21
-
-
0342602167
-
A restarted GMRES method augmented with eigenvectors
-
R. B. MORGAN, A restarted GMRES method augmented with eigenvectors, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 1154-1171.
-
(1995)
SIAM J. Matrix Anal. Appl
, vol.16
, pp. 1154-1171
-
-
MORGAN, R.B.1
-
22
-
-
0037214140
-
A method based on Fejér points for the computation of functions of nonsymmetric matrices
-
P. NOVATI, A method based on Fejér points for the computation of functions of nonsymmetric matrices, Appl. Numer. Math., 44 (2003), pp. 201-224.
-
(2003)
Appl. Numer. Math
, vol.44
, pp. 201-224
-
-
NOVATI, P.1
-
23
-
-
84985350406
-
Approximate solutions and eigenvalue bounds from Krylov subspaces
-
C. C. PAIGE, B. PARLETT, AND H. A. VAN DER VORST, Approximate solutions and eigenvalue bounds from Krylov subspaces, Numer. Linear Algebra Appl., 2 (1995), pp. 115-133.
-
(1995)
Numer. Linear Algebra Appl
, vol.2
, pp. 115-133
-
-
PAIGE, C.C.1
PARLETT, B.2
VAN DER VORST, H.A.3
-
26
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
-
(1986)
SIAM J. Sci. Statist. Comput
, vol.7
, pp. 856-869
-
-
SAAD, Y.1
SCHULTZ, M.H.2
-
27
-
-
84966222159
-
Krylov subspace methods for solving large unsymmetric linear systems
-
Y. SAAD, Krylov subspace methods for solving large unsymmetric linear systems, Math. Comp., 37 (1981), pp. 105-126.
-
(1981)
Math. Comp
, vol.37
, pp. 105-126
-
-
SAAD, Y.1
-
28
-
-
0026818185
-
Analysis of some Krylov subspace approximations to the matrix exponential operator
-
Y. SAAD, Analysis of some Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal., 29 (1992), pp. 209-228.
-
(1992)
SIAM J. Numer. Anal
, vol.29
, pp. 209-228
-
-
SAAD, Y.1
-
29
-
-
84925899548
-
The representation of social processes by Markov models
-
B. SINGER AND S. SPILERMAN, The representation of social processes by Markov models, Amer. J. Sociology, 8 (1976), pp. 1-54.
-
(1976)
Amer. J. Sociology
, vol.8
, pp. 1-54
-
-
SINGER, B.1
SPILERMAN, S.2
-
30
-
-
0000322706
-
Implicit application of polynomial filters in a k-step Arnoldi method
-
D. C. SORENSEN, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 357-385.
-
(1992)
SIAM J. Matrix Anal. Appl
, vol.13
, pp. 357-385
-
-
SORENSEN, D.C.1
-
31
-
-
0030213510
-
Error estimates for Krylov subspace approximations of matrix exponentials
-
D. E. STEWART AND T. S. LEYK, Error estimates for Krylov subspace approximations of matrix exponentials, J. Comput. Appl. Math., 72 (1996), pp. 359-369.
-
(1996)
J. Comput. Appl. Math
, vol.72
, pp. 359-369
-
-
STEWART, D.E.1
LEYK, T.S.2
-
32
-
-
0036018626
-
A Krylov-Schur algorithm for large eigenproblems
-
G. W. STEWART, A Krylov-Schur algorithm for large eigenproblems, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 601-614.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 601-614
-
-
STEWART, G.W.1
-
33
-
-
0004586997
-
High degree polynomial interpolation in Newton form
-
H. TAL-EZER, High degree polynomial interpolation in Newton form, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 648-667.
-
(1991)
SIAM J. Sci. Statist. Comput
, vol.12
, pp. 648-667
-
-
TAL-EZER, H.1
-
34
-
-
0036643706
-
-
J. VAN DEN ESHOF, A. FROMMER, T. LIPPKRT, AND H. A. VAN DER VORST, Numerical methods for the QCD overlap operator. I. Sign-function and error bounds, Comput. Phys. Comm., 146 (2002), pp. 203-224.
-
J. VAN DEN ESHOF, A. FROMMER, T. LIPPKRT, AND H. A. VAN DER VORST, Numerical methods for the QCD overlap operator. I. Sign-function and error bounds, Comput. Phys. Comm., 146 (2002), pp. 203-224.
-
-
-
|