47 citations · 86 across the 3 of their papers we have counts for
3 papers
math.RT2007★ 34 cited
A regularization algorithm for matrices of bilinear and sesquilinear forms
Roger A. Horn, Vladimir V. Sergeichuk
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 singu…
math.RT2007★ 5 cited
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms
Vyacheslav Futorny, Roger A. Horn, Vladimir V. Sergeichuk
Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices unde…
math.RT2007★ 47 cited
Canonical matrices of bilinear and sesquilinear forms
Roger A. Horn, Vladimir V. Sergeichuk
Canonical matrices are given for (a) bilinear forms over an algebraically closed or real closed field; (b) sesquilinear forms over an algebraically closed field and over real quate…