The sum of squared logarithms inequality in arbitrary dimensions

DOI10.1016/j.laa.2016.06.026zbMath1400.26032arXiv1508.04039OpenAlexW2963760081MaRDI QIDQ1789392

Patrizio Neff, Christian Thiel, Suvrit Sra, Lev A. Borisov

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1508.04039

zbMATH Keywords

positive definite matricesgeodesicspolynomialsfundamental theorem of algebraalgebraic geometrymatrix analysislogarithmic strain tensorelementary symmetric polynomialsHencky energy

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07)

Related Items (5)

Geometry of logarithmic strain measures in solid mechanics ⋮ Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices ⋮ New Thoughts in Nonlinear Elasticity Theory via Hencky’s Logarithmic Strain Tensor ⋮ Explicit Global Minimization of the Symmetrized Euclidean Distance by a Characterization of Real Matrices with Symmetric Square ⋮ Logarithmic inequalities under a symmetric polynomial dominance order

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