A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants

Author:

Meerbergen Karl1,Plestenjak Bor2

Affiliation:

1. Department of Computer Science; KU Leuven; Leuven 3001 Belgium

2. IMFM and Department of Mathematics; University of Ljubljana; Jadranska 19 Ljubljana SI-1000 Slovenia

Funder

ARRS

FWO

Belgian Network DYSCO

Interuniversity Attraction Poles Programme

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference22 articles.

1. Algorithm 432: solution of matrix equation AX + XB = C;Bartels;Communications of the ACM,1972

2. An error analysis for rational Galerkin projection applied to the Sylvester equation;Beckermann;SIAM Journal on Numerical Analysis,2011

3. Krylov-subspace methods for the Sylvester equation;Hu;Linear Algebra Applications,1992

4. A Jacobi-Davidson type method for the nonsingular two-parameter eigenvalue problem;Hochstenbach;SIAM Journal on Matrix Analysis and Applications,2005

5. Shift-and-invert iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large scale problems;Meerbergen;SIAM Journal on Matrix Analysis and Applications,2010

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