The Number of Solutions to the Matrix Equation XAX T = C, A and C Nonalternate and of Full Rank, Over GF (2y )

Author:

Buckhiester Philip G.

Publisher

Wiley

Subject

General Mathematics

Reference6 articles.

1. Symmetric and Alternate Matrices in an Arbitrary Field I;Albert;AMS Trans.,1938

2. P. G. Buckhiester r XAX T C, A GF y

3. Representations by Quadratic Forms in a Finite Field, Duke Math;Carlitz;J.,1954

4. On Transitivity of Subspaces in Orthogonal Geometry Over Fields of Characteristic 2, Chinese Math;Zong-duo;Acta,1966

5. Rank r Solutions to the Matrix Equation XXT = 0 Over a Field of Characteristic Two;Perkins;diese Nachr.,1971

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1. 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;2023-01-28

2. On the Consistency of the Matrix Equation $$X^\top A X=B$$ when B is Symmetric;Mediterranean Journal of Mathematics;2021-01-21

3. Generalized inverses of matrices over fields of characteristic two;Linear Algebra and its Applications;1979-12

4. Representations by Quadratic Forms in a Finite Field of Characteristic Two;Mathematische Nachrichten;1977

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