A note on “Constructing matrices with prescribed off-diagonal submatrix and invariant polynomials” |
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Authors: | Alberto Borobia Roberto Canogar |
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Institution: | Dpto. Matemáticas, UNED, 28040 Madrid, Spain |
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Abstract: | Let F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient conditions for the existence of a matrix A=Aij]i,j∈{1,2}∈F(p+q)×(p+q) with prescribed similarity class and such that A21=B. In an earlier paper A. Borobia, R. Canogar, Constructing matrices with prescribed off-diagonal submatrix and invariant polynomials, Linear Algebra Appl. 424 (2007) 615-633] we obtained, for fields of characteristic different from 2, a finite step algorithm to construct A when it exists. In this short note we extend the algorithm to any field. |
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Keywords: | 15A29 |
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