English

On the matrix equation $XA+AX^T =0$, II: Type 0-I interactions

Rings and Algebras 2013-09-24 v2

Abstract

The matrix equation XA+AXT=0XA + 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.

Keywords

Cite

@article{arxiv.1303.3088,
  title  = {On the matrix equation $XA+AX^T =0$, II: Type 0-I interactions},
  author = {Alice Zhuo-Yu Chan and Luis Alberto Garcia German and Stephan Ramon Garcia and Amy L. Shoemaker},
  journal= {arXiv preprint arXiv:1303.3088},
  year   = {2013}
}

Comments

10 pages