English

A regularization algorithm for matrices of bilinear and sesquilinear forms

Representation Theory 2007-10-04 v1

Abstract

We give an algorithm that uses only unitary transformations and for each square complex matrix constructs a *congruent matrix that is a direct sum of a nonsingular matrix and singular Jordan blocks.

Keywords

Cite

@article{arxiv.0710.0852,
  title  = {A regularization algorithm for matrices of bilinear and sesquilinear forms},
  author = {Roger A. Horn and Vladimir V. Sergeichuk},
  journal= {arXiv preprint arXiv:0710.0852},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-06-21T09:26:16.884Z