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On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks - MaRDI portal

On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks (Q2681738)

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scientific article; zbMATH DE number 7650485
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English
On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks
scientific article; zbMATH DE number 7650485

    Statements

    On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks (English)
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    6 February 2023
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    matrix equation
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    transpose
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    congruence
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    Riccati equation
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    canonical form for congruence
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    symmetric matrix
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    bilinear form
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