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On the matrix equation \(XA+AX^T=0\) - MaRDI portal

On the matrix equation \(XA+AX^T=0\) (Q1938591)

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On the matrix equation \(XA+AX^T=0\)
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    On the matrix equation \(XA+AX^T=0\) (English)
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    21 February 2013
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    The authors obtain an explicit solution for the matrix equation \(XA+AX^T=0\) in one case left open by \textit{F. De TerĂ¡n} and \textit{F. M. Dopico} [Linear Algebra Appl. 434, No. 1, 44--67 (2011; Zbl 1204.15022)].
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    congruence
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    congruence canonical form
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    Lie algebra
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    Pascal's triangle
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    Pascal matrix
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    matrix equation
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