Article - preprint
Congruence, Congruence canonical form, Lie algebra, Pascal’s triangle, Pascal matrix
The matrix equation XA+AXT=0, which has relevance to the study of Lie algebras, was recently studied by De Terán and Dopico (Linear Algebra Appl. 434 (2011), 44–67). 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
© 2013 Elsevier B.V.
Garcia, Stephan Ramon and Shoemaker, Amy L. '14, "On the Matrix Equation XA + AX_T = 0" (2012). Pomona Faculty Publications and Research. 243.