.png){kind=icon}
.png){kind=icon}
Return
Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2005.12.054.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper, we first introduce a block second-order Krylov subspace G(m1),, (A, B; Q(1)) based on a pair of square matrices A and B and an orthonormal matrix Q(1). Then we present a block second-order Arnoldi procedure for generating an orthonormal basis of G(m1) (A, B; Q(1)) and a block second-order biorthogonalization procedure for generating biorthonormal basis of G(m1) (A, B; Q(1)) and G(m1) (A(T), B-T; P-1). By applying the projection techniques, we derive two block second-order Krylov subspace methods for solving a large-scale quadratic eigenvalue problem (QEP). These methods are applied to the QEP directly. Hence they preserve essential structures and properties of the QEP. Some theoretical results are given. Numerical experiments report the effectiveness of these methods. (c) 2006 Elsevier Inc. All rights reserved.
Keywords:
quadratic eigenvalue problem
block second-order Krylov subspace
block second-order Arnoldi procedure
block second-order biorthogonalization procedure
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W
Organization
No organization information available