A Sufficient condition for strict total positivity of a matrix

DOI10.1080/03081089808818575zbMath0922.15014OpenAlexW2073518892MaRDI QIDQ4228251

Thomas C. Craven, George Csordas

Publication date: 8 October 1999

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

Full work available at URL: https://doi.org/10.1080/03081089808818575

zbMATH Keywords

Hankel matrixtotally positive matrix

Mathematics Subject Classification ID

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

Related Items (9)

On the stability of Taylor sections of a function \(\Sigma _{k=0}^{\infty } z^{k}/a^{k^{2}}, a>1\) ⋮ Tests for the recognition of total positivity ⋮ Sparse Hamburger moment multisequences ⋮ A sufficient condition for a polynomial to be stable ⋮ Measure convolution semigroups and noninfinitely divisible probability distributions ⋮ Stable regions of Turán expressions ⋮ Almost strict total positivity and a class of Hurwitz polynomials ⋮ Determinantal criteria for total positivity ⋮ On sufficient conditions for the total positivity and for the multiple positivity of matrices

Cites Work

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• Total positivity and Neville elimination
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• On the generating functions of totally positive sequences. I
• On the generating functions of totally positive sequences. II
• Proof of a Conjecture of Schoenberg on the Generating Function of a Totally Positive Sequence
• Totally positive matrices

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