A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

الموضوعات :

M. Amirfakhrian ¹ , F. Mohammad ²

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

تاريخ الإرسال : 07 الأحد , صفر, 1433 تاريخ التأكيد : 10 الخميس , ربيع الأول, 1436 تاريخ الإصدار : 11 الجمعة , رجب, 1433

الکلمات المفتاحية: convergence, Eigenvalue problem, inexact inverse iteration, subspace iteration, Approximation, inner-outer iteration,

ملخص المقالة :

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 andits Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of theinverse subspace iteration is preserved.

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