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An inner product lemma.

Authors :
Gustafson, Karl
Source :
Numerical Linear Algebra with Applications; Sep2004, Vol. 11 Issue 7, p649-659, 11p
Publication Year :
2004

Abstract

Given the operator product BA in which both A and B are symmetric positive-definite operators, for which symmetric positive-definite operators C is BA symmetric positive-definite in the C inner product <x, y>C? This question arises naturally in preconditioned iterative solution methods, and will be answered completely here. Copyright © 2004 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10705325
Volume :
11
Issue :
7
Database :
Complementary Index
Journal :
Numerical Linear Algebra with Applications
Publication Type :
Academic Journal
Accession number :
14097868
Full Text :
https://doi.org/10.1002/nla.368