A panorama of positivity. II: Fixed dimension

DOI10.1090/conm/743/14958zbMath1452.15021OpenAlexW3006357578MaRDI QIDQ3295975

Apoorva Khare, Alexander C. R. Belton, Mihai Putinar, Dominique Guillot

Publication date: 3 July 2020

Published in: Complex Analysis and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/743/14958

zbMATH Keywords

convexityToeplitz matrixHankel matrixchordal graphtotally positive matricespositive definite functionmetric geometrypositive semidefinite matrixSchur polynomialscovariance estimationabsolutely monotonic functionssample covariancecompletely monotone functionssparsity patterngeneralized Vandermonde matrixtotally non-negative matricessymmetric function identitiesLoewner monotonicitytotally positive completion problemcritical exponent of a graphentrywise calculus

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Miscellaneous inequalities involving matrices (15A45) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Analysis of variance and covariance (ANOVA) (62J10) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) Toeplitz, Cauchy, and related matrices (15B05) Matrix completion problems (15A83)

Related Items

Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities ⋮ Totally positive kernels, Pólya frequency functions, and their transforms ⋮ Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem ⋮ Sharp nonzero lower bounds for the Schur product theorem ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture

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