Student Co-author

Pomona Undergraduate

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Article - preprint


Mathematics (Pomona)

Publication Date



matrix equation


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.


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).

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© 2013 Elsevier B.V.

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