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Extremal positive semidefinite doubly stochastic matrices

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Publication:802708
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DOI10.1016/0024-3795(91)90162-PzbMath0726.15019MaRDI QIDQ802708

Stephen J. Pierce, Robert D. Grone

Publication date: 1991

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


zbMATH Keywords

extreme pointsconvex conesymmetric positive semidefinite matricesdoubly stochastic matrices


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convex sets in topological linear spaces; Choquet theory (46A55) Stochastic matrices (15B51)


Related Items (3)

Extreme chordal doubly nonnegative matrices with given row sums ⋮ Nonchordal positive semidefinite stochastic matrices∗ ⋮ More on extremal positive semidefinite doubly stochastic matrices



Cites Work

  • Positive definite doubly stochastic matrices and extreme points
  • Positive semidefinite matrices with a given sparsity pattern
  • Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
  • Extremal bipartite matrices
  • The Ranks of Extremal Positive Semidefinite Matrices with Given Sparsity Pattern
  • Bipartite completely positive matrices
  • Unnamed Item


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