Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
暂无分享,去创建一个
[1] ANDREAS FROMMER,et al. Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices , 2008, SIAM J. Sci. Comput..
[2] Stefan Güttel,et al. A generalization of the steepest descent method for matrix functions , 2008 .
[3] Gene H. Golub,et al. Matrices, moments, and quadrature , 2007, Milestones in Matrix Computation.
[4] Oliver G. Ernst,et al. A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions , 2006, SIAM J. Numer. Anal..
[5] L. Trefethen,et al. Talbot quadratures and rational approximations , 2006 .
[6] Valeria Simoncini,et al. Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential , 2006, SIAM J. Numer. Anal..
[7] Nicholas J. Higham,et al. The Scaling and Squaring Method for the Matrix Exponential Revisited , 2005, SIAM J. Matrix Anal. Appl..
[8] Michiel E. Hochstenbach,et al. Subspace extraction for matrix functions , 2005 .
[9] Gerard L. G. Sleijpen,et al. Accurate conjugate gradient methods for families of shifted systems , 2004 .
[10] Gerard L. G. Sleijpen,et al. Accurate conjugate gradient methods for shifted systems , 2003 .
[11] Marlis Hochbruck,et al. Exponential Integrators for Large Systems of Differential Equations , 1998, SIAM J. Sci. Comput..
[12] C. Lubich,et al. On Krylov Subspace Approximations to the Matrix Exponential Operator , 1997 .
[13] B. Jegerlehner. Krylov space solvers for shifted linear systems , 1996, hep-lat/9612014.
[14] B. Philippe,et al. Transient Solutions of Markov Processes by Krylov Subspaces , 1995 .
[15] L. Knizhnerman,et al. Spectral approach to solving three-dimensional Maxwell's diffusion equations in the time and frequency domains , 1994 .
[16] Yousef Saad,et al. Efficient Solution of Parabolic Equations by Krylov Approximation Methods , 1992, SIAM J. Sci. Comput..
[17] Y. Saad. Analysis of some Krylov subspace approximations to the matrix exponential operator , 1992 .
[18] L. Trefethen,et al. Eigenvalues and pseudo-eigenvalues of Toeplitz matrices , 1992 .
[19] L. Knizhnerman,et al. Two polynomial methods of calculating functions of symmetric matrices , 1991 .
[20] Misac N. Nabighian,et al. Electromagnetic Methods in Applied Geophysics , 1988 .
[21] G. W. Hohmann,et al. 4. Electromagnetic Theory for Geophysical Applications , 1987 .
[22] R. Varga,et al. Rational Approximation and Interpolation , 1985 .
[23] R. Varga,et al. Extended numerical computations on the “1/9” conjecture in rational approximation theory , 1984 .
[24] A. G. Hutton,et al. THE NUMERICAL TREATMENT OF ADVECTION: A PERFORMANCE COMPARISON OF CURRENT METHODS , 1982 .
[25] G. Golub,et al. A Hessenberg-Schur method for the problem AX + XB= C , 1979 .
[26] B. Parlett. A recurrence among the elements of functions of triangular matrices , 1976 .
[27] R. Varga,et al. Chebyshev rational approximations to e−x in [0, +∞) and applications to heat-conduction problems , 1969 .
[28] K. Yee. Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .
[29] R. Varga. On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations , 1961 .
[30] J. Walsh. Interpolation and Approximation by Rational Functions in the Complex Domain , 1935 .