-
1
-
-
33746073868
-
-x by rational functions with concentrated negative poles
-
-x by rational functions with concentrated negative poles, J. Approx. Theory, 32 (1981), pp. 85-95.
-
(1981)
J. Approx. Theory
, vol.32
, pp. 85-95
-
-
Andersson, J.-E.1
-
3
-
-
0003850643
-
A relaxation strategy for inexact matrix-vector products for Krylov methods
-
CERFACS, France
-
A. BOURAS AND V. FRAYSSÉ, A Relaxation Strategy for Inexact Matrix-Vector Products for Krylov Methods, Technical report TR/PA/00/15, CERFACS, France, 2000.
-
(2000)
Technical Report
, vol.TR-PA-00-15
-
-
Bouras, A.1
Frayssé, V.2
-
4
-
-
0041434420
-
Preconditioning the Matrix exponential operator with applications
-
Supercomputer Institute, University of Minnesota, Minneapolis, MN
-
P. CASTILLO AND Y. SAAD, Preconditioning the Matrix Exponential Operator with Applications, Technical Report UMSI 97/142, Supercomputer Institute, University of Minnesota, Minneapolis, MN, 1997.
-
(1997)
Technical Report
, vol.UMSI 97-142
-
-
Castillo, P.1
Saad, Y.2
-
5
-
-
33746035806
-
A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations
-
J. C. CAVENDISH, W. E. CULHAM, AND R. S. VARGA, A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations, J. Comput. Phys., 10 (1972), pp. 354-368.
-
(1972)
J. Comput. Phys.
, vol.10
, pp. 354-368
-
-
Cavendish, J.C.1
Culham, W.E.2
Varga, R.S.3
-
6
-
-
0002346411
-
Using nonorthogonal Lanczos vectors in the computation of matrix functions
-
V. DRUSKIN, A. GREENBAUM, AND L. KNIZHNERMAN, Using nonorthogonal Lanczos vectors in the computation of matrix functions, SIAM J. Sci. Comput., 19 (1998), pp. 38-54.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 38-54
-
-
Druskin, V.1
Greenbaum, A.2
Knizhnerman, L.3
-
7
-
-
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
-
8
-
-
84985376656
-
Krylov subspace approximations of eigenpairs and matrix functions in exact and computer arithmetic
-
V. L. DRUSKIN AND L. A. KNIZHNERMAN, Krylov subspace approximations 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
-
9
-
-
0032377092
-
Extended Krylov subspaces: Approximation of the matrix square root and related functions
-
V. L. DRUSKIN AND L. A. KNIZHNERMAN, Extended Krylov subspaces: Approximation of the matrix square root and related functions, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 755-771.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 755-771
-
-
Druskin, V.L.1
Knizhnerman, L.A.2
-
10
-
-
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
-
11
-
-
0034398887
-
Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations
-
G. H. GOLUB, Z. ZHANG, AND H. ZHA, Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations, Linear Algebra Appl., 309 (2000), pp. 289-306.
-
(2000)
Linear Algebra Appl.
, vol.309
, pp. 289-306
-
-
Golub, G.H.1
Zhang, Z.2
Zha, H.3
-
12
-
-
0006520565
-
Parabolic multigrid methods
-
(Versailles, 1983), North-Holland, Amsterdam
-
W. HACKBUSCH, Parabolic multigrid methods, in Computing Methods in Applied Sciences and Engineering VI (Versailles, 1983), North-Holland, Amsterdam, 1984, pp. 189-197.
-
(1984)
Computing Methods in Applied Sciences and Engineering VI
, pp. 189-197
-
-
Hackbusch, W.1
-
13
-
-
0347799731
-
On Krylov subspace approximations to the matrix exponential operator
-
M. HOCHBRUCK AND CH. 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, Ch.2
-
14
-
-
0002279610
-
Exponential integrators for large systems of differential equations
-
M. HOCHBRUCK, CH. LUBICH, AND H. SELHOFER, Exponential integrators for large systems of differential equations, SIAM J. Sci. Comput., 19 (1998), pp. 1552-1574.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1552-1574
-
-
Hochbruck, M.1
Lubich, Ch.2
Selhofer, H.3
-
15
-
-
0006518512
-
A space-time multigrid method for parabolic partial differential equations
-
G. HORTON AND S. VANDEWALLE, A space-time multigrid method for parabolic partial differential equations, SIAM J. Sci. Comput., 16 (1995), pp. 848-864.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 848-864
-
-
Horton, G.1
Vandewalle, S.2
-
16
-
-
8144224911
-
Rational approximations to exp(-x) with applications to certain stiff systems
-
A. ISERLES, Rational approximations to exp(-x) with applications to certain stiff systems, SIAM J. Numer. Anal., 18 (1981), pp. 1-12.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 1-12
-
-
Iserles, A.1
-
17
-
-
84968508687
-
Estimates for some computational techniques in linear algebra
-
S. KANIEL, Estimates for some computational techniques in linear algebra, Math. Comp., 20 (1966), pp. 369-378.
-
(1966)
Math. Comp.
, vol.20
, pp. 369-378
-
-
Kaniel, S.1
-
18
-
-
22544474620
-
Fourth-order time stepping for stiff PDEs
-
A.-K. KASSAM AND L. N. TREFETHEN, Fourth-order time stepping for stiff PDEs, SIAM J. Sci. Comput., 26 (2005), pp. 1214-1233.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1214-1233
-
-
Kassam, A.-K.1
Trefethen, L.N.2
-
19
-
-
84912261980
-
-x on (0, ∞)
-
(Univ. South Florida, Tampa, FL, 1976), Academic Press, New York
-
-x on [0, ∞), in Fadé and Rational Approximation (Proc. Internat. Sympos., Univ. South Florida, Tampa, FL, 1976), Academic Press, New York, 1977, pp. 413-425.
-
(1977)
Fadé and Rational Approximation Proc. Internat. Sympos.
, pp. 413-425
-
-
Kaufman Jr., E.H.1
Taylor, G.D.2
-
20
-
-
11444270668
-
Generalized integrating factor methods for stiff PDEs
-
to appear
-
S. KROGSTAD, Generalized integrating factor methods for stiff PDEs, J. Comput. Phys., to appear.
-
J. Comput. Phys.
-
-
Krogstad, S.1
-
21
-
-
0034353662
-
Which eigenvalues are found by the Lanczos method?
-
A. B. J. KUIJLAARS, Which eigenvalues are found by the Lanczos method?, SIAM J. Matrix Anal. Appl., 22 (2000), pp. 306-321.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.22
, pp. 306-321
-
-
Kuijlaars, A.B.J.1
-
22
-
-
33746065034
-
Rational exponential approximation with real poles
-
T. C.-Y. LAU, Rational exponential approximation with real poles, BIT, 17 (1977), pp. 191-199.
-
(1977)
BIT
, vol.17
, pp. 191-199
-
-
Lau, T.C.-Y.1
-
23
-
-
0037354371
-
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
-
C. MOLER AND C. 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.2
-
24
-
-
0001143041
-
Nineteen dubious ways to compute the exponential of a matrix
-
J C. MOLER AND G. F. VAN LOAN, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev., 20 (1978), pp. 801-836.
-
(1978)
SIAM Rev.
, vol.20
, pp. 801-836
-
-
Moler, C.1
Van Loan, G.F.2
-
25
-
-
85160668586
-
RD rational approximations of the matrix exponential
-
to appear
-
I. MORET AND P. NOVATI, RD rational approximations of the matrix exponential, BIT, to appear.
-
BIT
-
-
Moret, I.1
Novati, P.2
-
26
-
-
0000572620
-
Restricted Fadé approximations to the exponential function
-
S. P. NøRSETT, Restricted Fadé approximations to the exponential function, SIAM J. Numer. Anal., 15 (1978), pp. 1008-1029.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 1008-1029
-
-
Nørsett, S.P.1
-
27
-
-
8144229128
-
Exponential fitting of restricted rational approximations to the exponential function
-
Rational Approximation and Interpolation (Tampa, FL, 1983), Springer-Verlag, Berlin
-
S. P. NøRSETT AND ST. R. TRICKETT, Exponential fitting of restricted rational approximations to the exponential function, in Rational Approximation and Interpolation (Tampa, FL, 1983), Lecture Notes in Math. 1105, Springer-Verlag, Berlin, 1984, pp. 466-476.
-
(1984)
Lecture Notes in Math.
, vol.1105
, pp. 466-476
-
-
Nørsett, S.P.1
Trickett, S.T.R.2
-
28
-
-
33746099050
-
Order-constrained uniform approximations to the exponential based on restricted rationals
-
S. P. NøRSETT AND ST. R. TRICKETT, Order-constrained uniform approximations to the exponential based on restricted rationals, Constr. Approx., 2 (1986), pp. 189-195.
-
(1986)
Constr. Approx.
, vol.2
, pp. 189-195
-
-
Nørsett, S.P.1
Trickett, S.T.R.2
-
29
-
-
0037253980
-
Solving linear initial value problems by Faber polynomials
-
P. NOVATI, Solving linear initial value problems by Faber polynomials, Numer. Linear Algebra Appl., 10 (2003), pp. 247-270.
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, pp. 247-270
-
-
Novati, P.1
-
30
-
-
0001288470
-
Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem
-
C. C. PAIGE, Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem, Linear Algebra Appl., 34 (1980), pp. 235-258.
-
(1980)
Linear Algebra Appl.
, vol.34
, pp. 235-258
-
-
Paige, C.C.1
-
32
-
-
0001422598
-
Rational Krylov sequence methods for eigenvalue computation
-
A. RUHE, Rational Krylov sequence methods for eigenvalue computation, Linear Algebra Appl., 58 (1984), pp. 391-405.
-
(1984)
Linear Algebra Appl.
, vol.58
, pp. 391-405
-
-
Ruhe, A.1
-
33
-
-
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
-
35
-
-
0032010619
-
Expokit: A software package for computing matrix exponentials
-
R. B. SIDJE, Expokit: A software package for computing matrix exponentials, ACM Trans. Math. Software, 24 (1998), pp. 130-156.
-
(1998)
ACM Trans. Math. Software
, vol.24
, pp. 130-156
-
-
Sidje, R.B.1
-
36
-
-
2342652956
-
Theory of inexact Krylov subspace methods and applications to scientific computing
-
V. SIMONCINI AND D. B. SZYLD, Theory of inexact Krylov subspace methods and applications to scientific computing, SIAM J. Sci. Comput., 25 (2003), pp. 454-477.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 454-477
-
-
Simoncini, V.1
Szyld, D.B.2
-
38
-
-
0001942937
-
Spectral methods in time for parabolic problems
-
H. TAL-EZER, Spectral methods in time for parabolic problems, SIAM J. Numer. Anal., 26 (1989), pp. 1-11.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 1-11
-
-
Tal-Ezer, H.1
-
40
-
-
12244265022
-
-
preprint 1268, Dept. Math., University Utrecht, Utrecht, The Netherlands
-
J. VAN DEN ESHOF, G. L. G. SLEUPEN, AND M. B. VAN GIJZEN, Relaxation strategies for nested Krylov methods, preprint 1268, Dept. Math., University Utrecht, Utrecht, The Netherlands, 2003.
-
(2003)
Relaxation Strategies for Nested Krylov Methods
-
-
Van Den Eshof, J.1
Sleupen, G.L.G.2
Van Gijzen, M.B.3
-
41
-
-
0001403122
-
The rate of convergence of conjugate gradients
-
A. VAN DER SLUIS AND H. A. VAN DER VORST, The rate of convergence of conjugate gradients, Numer. Math., 48 (1986), pp. 543-560.
-
(1986)
Numer. Math.
, vol.48
, pp. 543-560
-
-
Van Der Sluis, A.1
Van Der Vorst, H.A.2
-
42
-
-
0001646445
-
An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A
-
H. A. VAN DER VORST, An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A, J. Comput. Appl. Math., 18 (1987), pp. 249-263.
-
(1987)
J. Comput. Appl. Math.
, vol.18
, pp. 249-263
-
-
Van Der Vorst, H.A.1
|