On the Matrix Equation XA + AX_T = 0, II

Authors

Alice Zhuo-Yu Chan '14, Pomona College
Luis Alberto Garcia '14, Pomona College
Stephan Ramon Garcia, Pomona CollegeFollow
Amy L. Shoemaker '14, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article - preprint

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

matrix equation

Abstract

The matrix equation $XA + AX^T = 0$ was recently introduced by De Ter\'an and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved. In this note we obtain an explicit, closed-form solution in the difficult Type 0-I interaction case.

Comments

This is a pre-print of an article to be published in Linear Algebra and its Applications. The definitive publisher-authenticated version will be available online at Elsevier.

Pre-print from:

Chan, A. Z.-Y., Garcia, L.A., Garcia, S.R., Shoemaker, A.L., On the matrix equation XA + AXT = 0, II, Lin. Alg. Appl. (in press). http://arxiv.org/abs/1303.3088

Rights Information

© 2013 Elsevier B.V.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Chan, Alice Zhuo-Yu '14; Garcia, Luis Alberto '14; Garcia, Stephan Ramon; and Shoemaker, Amy L. '14, "On the Matrix Equation XA + AX_T = 0, II" (2013). Pomona Faculty Publications and Research. 241.
https://scholarship.claremont.edu/pomona_fac_pub/241