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On Perron complements of totally nonnegative matrices

  • Published:2001-04 Issue:1-3 Volume:327 Page:85-94
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Fallat Shaun M.,Neumann Michael

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference14 articles.

1. Totally positive matrices;Ando;Linear Algebra Appl.,1987

2. On the total nonnegativity of the Hurwitz matrix;Asner;SIAM J. Appl. Math.,1970

3. Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley;Brualdi;Linear Algebra Appl.,1983

4. S.M. Fallat, Totally nonnegative matrices, Ph.D. Dissertation, Department of Mathematics, College of William and Mary, Williamsburg, VA, 1999

5. F.R. Gantmacher, M.G. Krein, Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen Mechanischer Systeme, Akademie-Verlag, Berlin, 1960

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