A new framework for implicit restarting of the Krylov-Schur algorithm

Author:

Bujanović Zvonimir1,Drmač Zlatko2

Affiliation:

1. Max Planck Institute for Dynamics of Complex Technical Systems; Magdeburg Germany

2. Department of Mathematics; University of Zagreb; Zagreb Croatia

Funder

Croatian Minsitry of Science, Education and Sport

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference28 articles.

1. Implicit application of polynomial filters in a k-step Arnoldi method;Sorensen;SIAM Journal on Matrix Analysis and Applications,1992

2. A Krylov-Schur algorithm for large eigenproblems;Stewart;SIAM Journal on Matrix Analysis and Applications,2001

3. Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems;Saad;Mathematics of Computation,1984

4. Deflation techniques for an implicitly restarted Arnoldi iteration;Lehoucq;SIAM Journal on Matrix Analysis and Applications,1996

5. Sorensen DC Deflation for implicitly restarted Arnoldi methods Technical Report TR98-12 Houston, TX 1998

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems;Numerical Linear Algebra with Applications;2016-03-03

2. Generalized Rational Krylov Decompositions with an Application to Rational Approximation;SIAM Journal on Matrix Analysis and Applications;2015-01

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