Record Details

Uniformly Conditioned Bases of Spectral Subspaces

DSpace at IIT Bombay

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Field Value
 
Title Uniformly Conditioned Bases of Spectral Subspaces
 
Creator LIMAYE, BV
 
Subject Block resolvent
Condition number
Degenerate kernel method
Finite-rank operator
Multiplication operator
Projection method
Spectral subspace
Spectral approximation
Uniformly conditioned bases
Weakly singular integral operator
47A58
47A25
46J10
65J10
65F35
OPERATORS
NUMBER
 
Description A condition number of an ordered basis of a finite-dimensional normed space is defined in an intrinsic manner. This concept is extended to a sequence of bases of finite-dimensional normed spaces, and is used to determine uniform conditioning of such a sequence. We address the problem of finding a sequence of uniformly conditioned bases of spectral subspaces of operators of the form T n =S n +U n , where S n is a finite-rank operator on a Banach space and U n is an operator which satisfies an invariance condition with respect to S n . This problem is reduced to constructing a sequence of uniformly conditioned bases of spectral subspaces of operators on C nx1. The applicability of these considerations in practical as well as theoretical aspects of spectral approximation is pointed out.
 
Publisher TAYLOR & FRANCIS INC
 
Date 2014-10-15T17:16:16Z
2014-10-15T17:16:16Z
2013
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 34(2)180-206
http://dx.doi.org/10.1080/01630563.2012.705411
http://dspace.library.iitb.ac.in/jspui/handle/100/15305
 
Language en