Uniformly Conditioned Bases of Spectral Subspaces
DSpace at IIT Bombay
View Archive InfoField | 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
|
|