Implicitly restarted global FOM and GMRES for nonsymmetric matrix equations and Sylvester equations

Applied Mathematics and Computation - Tập 167 - Trang 1004-1025 - 2005
Yi-Qin Lin1
1Institute of Mathematics and Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, PR China

Tài liệu tham khảo

Demmel, 1997 Duff, 1989, Sparse matrix test problems, ACM Trans. Math. Software, 15, 1, 10.1145/62038.62043 Jbilou, 1999, Global FOM and GMRES algorithms for matrix equations, Appl. Numer. Math., 31, 49, 10.1016/S0168-9274(98)00094-4 Morgan, 1995, A restarted GMRES method augmented with eigenvectors, SIAM J. Matrix anal. Appl., 16, 1154, 10.1137/S0895479893253975 Morgan, 2000, Implicitly restarted GMRES and Arnoldi methods for nonsymmetric systems of equations, SIAM J. Matrix Anal. Appl., 21, 1112, 10.1137/S0895479897321362 Morgan, 2002, GMRES with deflated restarting, SIAM J. Sci. Comput., 24, 20, 10.1137/S1064827599364659 Morgan, 1998, Harmonic projection methods for nonsymmetric eigenvalues problems, Numer. Linear Algebra Appl., 5, 33, 10.1002/(SICI)1099-1506(199801/02)5:1<33::AID-NLA125>3.0.CO;2-1 Sorensen, 1992, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl., 13, 357, 10.1137/0613025