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On the boundary of totally positive upper triangular matrices

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Publication:1906761
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DOI10.1016/0024-3795(95)90010-1zbMath0840.15012OpenAlexW2121033437MaRDI QIDQ1906761

Boris Zalmanovich Shapiro, Michael Shapiro

Publication date: 24 June 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)90010-1

zbMATH Keywords

connected componentstotally positiveboundaryupper triangular matricesmatrix semigroups


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Convex sets in topological linear spaces; Choquet theory (46A55)


Related Items

A class of oscillatory matrices with exponent \(n - 1\), TP perturbation of TN matrices and totally positive directions, Wronskians, total positivity, and real Schubert calculus, Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro, A remark on oscillatory matrices, Determinantal criteria for total positivity, Grassmann convexity and multiplicative Sturm theory, revisited



Cites Work

  • Some properties of totally positive matrices
  • Totally positive matrices
  • Unnamed Item
  • Unnamed Item
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