The complete positivity of symmetric tridiagonal and pentadiagonal matrices

DOI10.1515/spma-2022-0173zbMath1502.15023arXiv2009.05100OpenAlexW4304184215MaRDI QIDQ2105347

Yanyan Li

Publication date: 8 December 2022

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05100

zbMATH Keywords

tridiagonal matrixdoubly stochastic matrixcompletely positive matrixpositive semidefinite matrixpentadiagonal matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Stochastic matrices (15B51)

Cites Work

• On the computational complexity of membership problems for the completely positive cone and its dual
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• Tridiagonal doubly stochastic matrices
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• The diameter of the acyclic Birkhoff polytope
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• A twisted factorization method for symmetric SVD of a complex symmetric tridiagonal matrix
• Stable Factorizations of Symmetric Tridiagonal and Triadic Matrices
• Fastest Mixing Markov Chain on Graphs with Symmetries
• Bipartite completely positive matrices
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• Linear-Time Complete Positivity Detection and Decomposition of Sparse Matrices
• Fastest random walk on a path
• Pairwise Completely Positive Matrices and Conjugate Local Diagonal Unitary Invariant Quantum States
• Fastest Mixing Markov Chain on a Path
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• Chains of dog-ears for completely positive matrices
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