Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms

Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.

Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms

Authors

Futorny, Vyacheslav

Horn, Roger A.

Sergeichuk, Vladimir V.

Description

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