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A NOTE ON ITERATIVE REFINEMENT SCHEMES FOR SYLVESTER OPERATOR-EQUATIONS

DSpace at IIT Bombay

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Title A NOTE ON ITERATIVE REFINEMENT SCHEMES FOR SYLVESTER OPERATOR-EQUATIONS
 
Creator AHUES, M
LARGILLIER, A
LIMAYE, B
 
Description We propose two iterative schemes to refine an approximate solution of a Sylvester operator equation Kx underbar - xtheta = y, where K is a bounded linear operator in a Banach space B, K underbar its extension to the product space X = B(m), and theta is-an-element-of C(m x m). An approximate solution x(n) is obtained by means of an approximation K(n) to K. Then, x(n) is refined by two iterative processes involving the resolution, for e(n), of K(n)e(n)underbar - e(n)theta = r(n), with different second members r(n). In these processes, K is only used for evaluations.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-23T08:03:38Z
2011-12-26T12:56:21Z
2011-12-27T05:44:54Z
2011-08-23T08:03:38Z
2011-12-26T12:56:21Z
2011-12-27T05:44:54Z
1993
 
Type Article
 
Identifier APPLIED MATHEMATICS LETTERS, 6(4), 83-86
0893-9659
http://dx.doi.org/10.1016/0893-9659(93)90129-B
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10448
http://hdl.handle.net/10054/10448
 
Language en