Positive definite matrices and the S-divergence

DOI10.1090/proc/12953zbMath1338.15046OpenAlexW2963532276MaRDI QIDQ2802101

Suvrit Sra

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12953

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65) General convexity (52A99) Numerical computation of matrix exponential and similar matrix functions (65F60)

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Cites Work

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• Riemannian geometry and matrix geometric means
• Metrics defined by Bregman divergences
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Invariant generalized functions in homogeneous domains
• Means of positive linear operators
• Means of Hermitian positive-definite matrices based on the log-determinant \(\alpha\)-divergence function
• Positive definite matrices
• Positive definite matrices and the S-divergence
• Nonlinear Perron–Frobenius Theory
• Kalman Filtering with Random Coefficients and Contractions
• Inequalities between means of positive operators
• Bounds for the Determinant of the Sum of Hermitian Matrices
• Invariant metrics, contractions and nonlinear matrix equations

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