The projection Kantorovich method for eigenvalue problems
type: Item
instance of: scholarly article
title: The projection Kantorovich method for eigenvalue problems
zbMATH Open document ID: 0818.65045
DOI: 10.1016/0377-0427(94)90314-X
author: L. J. Lardy
published in: Journal of Computational and Applied Mathematics
publication date: 1994-09-22T00:00:00Z
review text: A modified projection method is discussed for the eigenvalue problem of a compact operator on a Banach space. The method is derived from the Kantorovich regularization method for second-kind equations. For a positive selfadjoint operator on a Hilbert space and orthogonal projections, the method yields eigenvalue approximations which are at least as accurate as those obtained from the projection method. On the other hand, for selfadjoint operators, both the methods require the same amount of computations. Numerical computations for selfadjoint and non- selfadjoint operators show that in both the cases, the modified method gives more accurate eigenvalue approximation.
reviewed by: N.A.Warsi
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 47A75
zbMATH DE Number: 643768
zbMATH Keywords: projection method
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: compact operator
zbMATH Keywords: Banach space
zbMATH Keywords: Kantorovich regularization method
zbMATH Keywords: positive selfadjoint operator
zbMATH Keywords: Hilbert space
zbMATH Keywords: orthogonal projections
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 643768