Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms
arXiv:0710.0810 · doi:10.1016/j.jalgebra.2008.01.002
Abstract
Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically closed field of characteristic different from 2.
26 pages; Preprint RT-MAT 2006-16, Universidade de Sao Paulo, 2006