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Article #1074Re: Eigenvectors of the sum of two symmetric matrices
From: M Hagger
Date: Fri, 08 Jan 1993 15:31
Date: Fri, 08 Jan 1993 15:31
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In the referenced article, mmt@ccu1.aukuni.ac.nz (Mark Thomson) writes: >If and A and B are two symmetric matrices, can anyone tell me whether it >is possible to relate the eigenvectors of (A+B) and their corresponding >eigenvalues to the eigenvectors and eigenvalues of A and B. If I remember correctly there are bounds available for the changes in the eigenvalues, for general A and B. In general I don't think it is possible to give exact new eigenvalues. You could try any of the following for more details: J.H Wilkinson - The algebraic eigenvalue problem (1965) Golub and Van Loan - Matrix Computations, 2nd edition (1989) Hope this is of some help. Mark
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!gdt!mapmh From: mapmh@gdr.bath.ac.uk (M Hagger) Newsgroups: sci.math.num-analysis Subject: Re: Eigenvectors of the sum of two symmetric matrices Message-ID: <1993Jan8.153150.22067@gdr.bath.ac.uk> Date: 8 Jan 93 15:31:50 GMT References: <1993Jan8.001959.13695@ccu1.aukuni.ac.nz> Organization: School of Mathematics, University of Bath, UK Lines: 17