On the matrix equation $XA + AX^T = 0$
Rings and Algebras
2012-10-25 v3
Abstract
The matrix equation , which has relevance to the study of Lie algebras, was recently studied by De Teran and Dopico. They reduced the study of this equation to several special cases and produced explicit solutions in most instances. In this note we obtain an explicit solution in one of the difficult cases, for which only the dimension of the solution space and an algorithm to find a basis of this space were known previously.
Cite
@article{arxiv.1208.1238,
title = {On the matrix equation $XA + AX^T = 0$},
author = {Stephan Ramon Garcia and Amy L. Shoemaker},
journal= {arXiv preprint arXiv:1208.1238},
year = {2012}
}
Comments
7 pages, to appear in Lin. Alg. Appl