On the Consistency of the Matrix Equation $$X^\top A X=B$$ when B is Symmetric

Author:

Borobia Alberto,Canogar Roberto,De Terán FernandoORCID

Funder

Secretaría de Estado de Investigación, Desarrollo e Innovación

Ministerio de Ciencia, Innovación y Universidades

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Benner, P., Palitta, D.: On the solution of the non-symmetric $$T$$-Riccati equation. Preprint. https://arxiv.org/pdf/2003.03693.pdf

2. Buckhiester, P.G.: Rank $$r$$ solutions to the matrix equation $$XAX^t=C$$, $$A$$ alternate, over GF($$2^y$$). Trans. Am. Math. Soc. 189, 201–209 (1974)

3. Buckhiester, P.G.: Rank $$r$$ solutions to the matrix equation $$XAX^t=C$$, $$A$$ non-alternate, $$C$$ alternate, over GF($$2^y$$). Can. J. Math. 26, 78–90 (1974)

4. Buckhiester, P.G.: The number of solutions to the matrix equation $$XAX^{\prime }= C$$, $$A$$ and $$C$$ nonalternate and of full rank, over GF($$2^y$$). Math. Nachr. 63, 37–41 (1974)

5. Carlitz, L.: Representations by skew forms in a finite field. Arch. Math. 5, 19–31 (1954)

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