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Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric,skew-symmetric,or Hermitian forms
Authors:Vyacheslav Futorny  Roger A. Horn  Vladimir V. Sergeichuk
Affiliation:1. Department of Mathematics, University of São Paulo, São Paulo, Brazil;2. Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA;3. Institute of Mathematics, Tereshchenkivska 3, Kiev, Ukraine
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.
Keywords:
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