Accelerated spectral approximation

A systematic development of higher order spectral analysis, introduced by Dellwo and Friedman, is undertaken in the framework of an appropriate product space. Accelerated analogues of Osborn's results about spectral approximation are presented. Numerical examples are given by considering an int...

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Bibliographic Details
Published in:	Mathematics of computation Vol. 67; no. 224; pp. 1401 - 1422
Main Authors:	Alam, Rafikul, Kulkarni, Rekha P., Limaye, Balmohan V.
Format:	Journal Article
Language:	English
Published:	Providence, RI American Mathematical Society 01-10-1998
Subjects:	Algebra Approximation Eigenvalues Eigenvectors Exact sciences and technology Integers Mathematical analysis Mathematical theorems Mathematics Operator theory Sciences and techniques of general use Spectral theory Spectroscopic analysis Spectroscopy eigenvalue of finite algebraic multiplicity Spectral approximation spectral projection spectral subspace higher order spectral analysis eigenvector Integral operator Mathematical operators Approximation theory Eigenvalues and eigenfunctions Spectrum analysis
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Summary:	A systematic development of higher order spectral analysis, introduced by Dellwo and Friedman, is undertaken in the framework of an appropriate product space. Accelerated analogues of Osborn's results about spectral approximation are presented. Numerical examples are given by considering an integral operator.
ISSN:	0025-5718 1088-6842
DOI:	10.1090/S0025-5718-98-00980-6