Generalized inverse method for subspace maps

A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

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.

a new inexact inverse subspace iteration for generalized eigenvalue problems

in this paper, we represent an inexact inverse subspace iteration method for com- puting 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.

Generalizations of an Inverse Free Krylov Subspace Method for the Symmetric Generalized Eigenvalue Problem

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An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems

In this paper, we present an inverse free Krylov subspace method for nding some extreme eigenvalues of the symmetric de nite generalized eigenvalue problem Ax = Bx. The basic method takes a form of inner-outer iterations and involves no inversion of B or any shift-and-invert matrix A 0B. A convergence analysis is presented that leads to a preconditioning scheme for accelerating convergence thro...

A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems