Rank r Solutions to the Matrix Equation XAXT = C, A Nonalternate, C Alternate, Over GF(2y).

DOI10.4153/CJM-1974-008-2zbMath0273.15017OpenAlexW2326031475MaRDI QIDQ5181819

Philip G. Buckhiester

Publication date: 1974

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1974-008-2

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Quadratic and bilinear forms, inner products (15A63)

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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 ⋮ Generalized inverses of matrices over fields of characteristic two

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