Interpolating functions of matrices on zeros of quasi‐kernel polynomials
暂无分享,去创建一个
[1] Tosio Kato. Perturbation theory for linear operators , 1966 .
[2] Vladimir Druskin,et al. Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic , 1995, Numer. Linear Algebra Appl..
[3] V. SIMONCINIy,et al. TRANSFER FUNCTIONS AND RESOLVENT NORM APPROXIMATION OF LARGE MATRICES , 1998 .
[4] H. Tal-Ezer. High Degree Polynomial Interpolation in Newton Form , 1991, SIAM J. Sci. Comput..
[5] Marlis Hochbruck,et al. Exponential Integrators for Large Systems of Differential Equations , 1998, SIAM J. Sci. Comput..
[6] Thomas A. Manteuffel,et al. On hybrid iterative methods for nonsymmetric systems of linear equations , 1996 .
[7] Olavi Nevanlinna,et al. Hessenberg matrices in krylov subspaces and the computation of the spectrum , 1995 .
[8] C. Lubich,et al. On Krylov Subspace Approximations to the Matrix Exponential Operator , 1997 .
[9] R. Freund. Quasi-kernel polynomials and their use in non-Hermitian matrix iterations , 1992 .
[10] Lloyd N. Trefethen,et al. Computation of pseudospectra , 1999, Acta Numerica.
[11] Lloyd N. Trefethen,et al. Generalizing Eigenvalue Theorems to Pseudospectra Theorems , 2001, SIAM J. Sci. Comput..
[12] F. R. Gantmakher. The Theory of Matrices , 1984 .
[13] Lloyd N. Trefethen,et al. A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems , 1992, SIAM J. Matrix Anal. Appl..
[14] P. Novati. A polynomial method based on Fejèr points for the computation of functions of unsymmetric matrices , 2003 .
[15] L. Knizhnerman. Calculation of functions of unsymmetric matrices using Arnoldi's method , 1991 .
[16] Lloyd N. Trefethen,et al. Pseudospectra of Linear Operators , 1997, SIAM Rev..
[17] J. Walsh. Interpolation and Approximation by Rational Functions in the Complex Domain , 1935 .
[18] Anne Greenbaum,et al. Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions , 1998, SIAM J. Sci. Comput..
[19] R. Freund,et al. QMR: a quasi-minimal residual method for non-Hermitian linear systems , 1991 .
[20] Y. Saad. Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices , 1980 .
[21] Michael Eiermann,et al. Fields of values and iterative methods , 1993 .
[22] Marco Vianello,et al. Interpolating discrete advection-diffusion propagators at spectral Leja sequences , 2004 .
[23] M. Rozložník,et al. Numerical stability of GMRES , 1995 .
[24] Peter Lancaster,et al. The theory of matrices , 1969 .
[25] Martin H. Gutknecht,et al. Lanczos-type solvers for nonsymmetric linear systems of equations , 1997, Acta Numerica.
[26] Y. Saad. Analysis of some Krylov subspace approximations to the matrix exponential operator , 1992 .
[27] Gene H. Golub,et al. Matrix computations , 1983 .
[28] P. Halmos. A Hilbert Space Problem Book , 1967 .
[29] Y. Saad. The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems , 1982 .
[30] I. Moret,et al. An interpolatory approximation of the matrix exponential based on Faber polynomials , 2001 .