A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

Journal of Linear and Topological Algebra

مقاله 5، دوره 01، شماره 02، شهریور 2012، صفحه 97-113   

نویسندگان

M. Amirfakhrian؛ F. Mohammad^*

Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran

چکیده

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

کلیدواژه‌ها

Eigenvalue problem؛ inexact inverse iteration؛ subspace iteration؛ inner-outer iteration؛ Approximation؛ convergence

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