The equationX⊤AX=BwithBskew-symmetric: how much of a bilinear form is skew-symmetric?
Author:
Affiliation:
1. Departamento de Matemáticas, Universidad Nacional de Educación a Distancia (UNED), Madrid, Spain
2. Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés, Spain
Funder
Agencia Estatal de Investigación
Publisher
Informa UK Limited
Subject
Algebra and Number Theory
Link
https://www.tandfonline.com/doi/pdf/10.1080/03081087.2022.2093825
Reference12 articles.
1. Representations by quadratic forms in a finite field
2. On the Consistency of the Matrix Equation $$X^\top A X=B$$ when B is Symmetric
3. The Automorphic Transformation of a Bilinear Form
4. Representations by skew forms in a finite field
5. On the solvability of a certain class of quadratic matrix equations
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On the consistency of the matrix equation XTA X = B when B is skew-symmetric: improving the previous characterization;Linear and Multilinear Algebra;2023-05-16
2. 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
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