The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?

Alberto Borobiaa Departamento de Matemáticas, Universidad Nacional de Educación a Distancia (UNED), Madrid, SpainView further author information

Roberto Canogara Departamento de Matemáticas, Universidad Nacional de Educación a Distancia (UNED), Madrid, SpainView further author information

Fernando De Teránb Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés, SpainCorrespondence[email protected]
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Alberto Borobia, Roberto Canogar & Fernando De Terán. (2023) On the consistency of the matrix equation XA X = B when B is skew-symmetric: improving the previous characterization. Linear and Multilinear Algebra 0:0, pages 1-27.
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Alberto Borobia, Roberto Canogar & Fernando De Terán. (2023) On the consistency of the matrix equation $$X^\top A X=B$$ when B is symmetric: the case where CFC(A) includes skew-symmetric blocks. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:2.
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The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?

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The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?

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The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?