The number of invariant polynomials of a matrix with prescribed complementary submatrices (Q5961696)

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scientific article; zbMATH DE number 982590
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The number of invariant polynomials of a matrix with prescribed complementary submatrices
scientific article; zbMATH DE number 982590

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    The number of invariant polynomials of a matrix with prescribed complementary submatrices (English)
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    26 February 1997
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    Let a matrix be represented in the form of blocks \(A=\left(\begin{smallmatrix} A_{11} &A_{12}\\ A_{21} &A_{22} \end{smallmatrix}\right)\). Let \(A_{12}\) and \(A_{21}\) vary. The authors study the number of possible invariant polynomials of \(A\).
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    prescribed complementary submatrices
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    block matrix
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    canonical form
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    invariant polynomials
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