scispace - formally typeset
Search or ask a question

Showing papers by "Roger A. Horn published in 2008"

Journal Article•DOI•
Canonical matrices of bilinear and sesquilinear forms

[...]

Roger A. Horn1, Vladimir V. Sergeichuk•
University of Utah1
01 Jan 2008-Linear Algebra and its Applications
TL;DR: Sergeichuk's canonical matrices as discussed by the authors are based on any given set of canonical matrix for similarity over a given algebraically closed or real closed field and can be used to construct the canonical matrix.

54 citations

Journal Article•DOI•
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms

[...]

Vyacheslav Futorny1, Roger A. Horn2, Vladimir V. Sergeichuk•
University of São Paulo1, University of Utah2
15 Mar 2008-Journal of Algebra
TL;DR: Tridiagonal canonical forms of square matrices under congruence or *congruence are given over an algebraically closed field of characteristic different from 2 in this paper, where Hermitian matrices are also considered.

7 citations

Journal Article•DOI•
Classification of squared normal operators on unitary and Euclidean spaces

[...]

Vyacheslav Futorny1, Roger A. Horn2, Vladimir V. Sergeichuk•
University of São Paulo1, University of Utah2
22 Nov 2008-Journal of Mathematical Sciences
TL;DR: In this article, the authors give a canonical form for a complex matrix whose square is normal under transformations of unitary similarity as well as a canonical condition for a real matrix with square normal under transformation of orthogonal similarity.
Abstract: We give a canonical form for a complex matrix whose square is normal under transformations of unitary similarity as well as a canonical form for a real matrix whose square is normal under transformations of orthogonal similarity.

2 citations