On sufficient conditions for the total positivity and for the multiple positivity of matrices

DOI10.1016/j.laa.2006.01.009zbMath1106.15014arXivmath/0504183OpenAlexW2129646243MaRDI QIDQ2496668

Olga M. Katkova, Anna M. Vishnyakova

Publication date: 20 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0504183

zbMATH Keywords

Pólya frequency sequenceHankel matrixToeplitz matricestotally positive matricesstrictly totally positive matricesmultiply positive matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

Characterizations and accurate computations for tridiagonal Toeplitz matrices ⋮ 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 ⋮ Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials ⋮ Hadamard powers and totally positive matrices ⋮ A sufficient condition for a polynomial to be stable ⋮ Total Positivity from the Exponential Riordan Arrays

Cites Work

• Almost strict total positivity and a class of Hurwitz polynomials
• On power series having sections with only real zeros
• On the generating functions of totally positive sequences. I
• On the zeros of the generating functions of multiply positive sequences and functions
• A Sufficient condition for strict total positivity of a matrix
• Totally positive matrices
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