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The Smith invariants of a matrix sum

Published:1980 Issue:2 Volume:78 Page:162-164
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Thompson Robert C.

Abstract

A divisibility relation is proved relating the invariant factors of a sum of integral matrices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-078-02/S0002-9939-1980-0550485-2/S0002-9939-1980-0550485-2.pdf

Reference3 articles.

1. Pure and Applied Mathematics, Vol. 45;Newman, Morris,1972

2. R. C. Thompson, Smith invariants of products of integral matrices (in preparation).

3. Interlacing inequalities for invariant factors;Thompson, R. C.;Linear Algebra Appl.,1979

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1. Sums of orbits of integral matrices;Linear and Multilinear Algebra;2017-11-07

2. Sums and products of matrices with prescribed similarity classes;Linear and Multilinear Algebra;1990-08

3. The rank of the difference of matrices with prescribed invariant factors;Linear and Multilinear Algebra;1988-11

4. The eigenvalues of the sum of matrices with prescribed invariant polynomials, II;Linear and Multilinear Algebra;1988-11

5. The eigenvalues of the sum of matrices with prescribed invariant polynomials*;Linear and Multilinear Algebra;1987-12

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