Some functions preserving positive semidefiniteness of \(2\times 2\) block matrices

DOI10.1016/J.LAA.2016.05.029zbMath1382.15053OpenAlexW2412577600MaRDI QIDQ306428

Lutz Klotz, Conrad Mädler

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.029

zbMATH Keywords

symmetric functionentire functionpositive semidefinite matrixprimary matrix function

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Entire functions of one complex variable (general theory) (30D20) Algebraic systems of matrices (15A30) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Matrix positivity preservers in fixed dimension. I
• Monotonicity for entrywise functions of matrices
• Lieb functions and \(m\)-positivity of norms
• Matrices of Schur functions
• Partitioned Hermitian matrices
• The Schur Product Theorem in the Block Case
• On the Eigenvalues of a Matrix with Prescribed Singular Values
• Inequalities: theory of majorization and its applications

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