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
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
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)
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