Compressions of Totally Positive Matrices

DOI10.1137/S0895479803437827zbMath1112.15024OpenAlexW2081099116MaRDI QIDQ5470523

Allen Herman, Charles R. Johnson, Shaun M. Fallat, Michael I. Gekhtman

Publication date: 31 May 2006

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479803437827

zbMATH Keywords

totally positive matrixdeterminant inequalitygeneralized matrix functionsbidiagonal factorizationoscillatory matrixcompressed matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ Nonnegative minors of minor matrices ⋮ Characterizations of rectangular totally and strictly totally positive matrices ⋮ Full rank factorization in echelon form of totally nonpositive (negative) rectangular matrices ⋮ Infinite log-concavity: developments and conjectures

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