Solution of Certain Matrix Equations

Authors

• John Jones, Air Force Institute of Technology

Document Type

Article

Publication Date

2-1972

Abstract

The main purpose of this paper is to obtain solutions of matrix equations of the following types, AX - XB = C,XDX + AX + XB + C = 0, in which case X is an unknown n by n matrix and A,B,C,D are n by n matrices having elements belonging to the field C of complex numbers. Results obtained extend those of W. E. Roth, J. E. Potter and others concerning the existence and the representation of solutions X of the above equations.

Comments

© American Mathematical Society 1972

The "Link to Full Text" opens the article record page at AMS. A PDF of the full article is available there.

MathSciNet review: 0292863

The author was co-affiliated with George Washington University at the time of this article.

DOI

10.1090/S0002-9939-1972-0292863-0

Source Publication

Proceedings of the American Mathematical Society (ISSN 0002-9939)

Recommended Citation

Jones, J. (1972). Solution of certain matrix equations. Proceedings of the American Mathematical Society, 31(2), 333–333. https://doi.org/10.1090/S0002-9939-1972-0292863-0