Generalized inverses of matrices over fields of characteristic two

DOI10.1016/0024-3795(79)90120-4zbMath0418.15014OpenAlexW2050375198MaRDI QIDQ755638

John D. Fulton

Publication date: 1979

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90120-4

zbMATH Keywords

generalized inverses of matrices over fields of characteristic two

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (3)

Generalized inverses of an invertible infinite matrix over a finite field ⋮ 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 ⋮ On the consistency of the matrix equation \(X^\top A X=B\) when \(B\) is symmetric

Cites Work

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• Generalized inverses of matrices over a finite field
• Generalized inverses of matrices with entries taken from an arbitrary field
• The Number of Solutions to the Matrix Equation XAX ^T = C, A and C Nonalternate and of Full Rank, Over GF (2^y )
• Rank r Solutions to the matrix Equation XAX ^T = C , A and C Nonalternate, over GF (2^v )
• Rank r Solutions to the Matrix Equation XAX T = C, A Alternate, Over GF(2 y )
• Rank r Solutions to the Matrix Equation XAX^T = C, A Nonalternate, C Alternate, Over GF(2^y).
• Some Results on Generalized Inverses
• Generalized Inverses of Partitioned Matrices
• Orthogonal Matrices Over Finite Fields
• Symmetric and Alternate Matrices in An Arbitrary Field, I

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