Positivity of matrices with generalized matrix functions

DOI10.1007/s10114-012-1210-0zbMath1263.15031OpenAlexW2122281155MaRDI QIDQ1943202

Fuzhen Zhang

Publication date: 15 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-1210-0

zbMATH Keywords

tracepermanentpositive semidefinite matrixgeneralized matrix functionThompson determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (12)

An inequality for tensor product of positive operators and its applications ⋮ Another look at some new Cauchy-Schwarz type inner product inequalities ⋮ A new matrix inequality involving partial traces ⋮ Inequalities for generalized matrix function and inner product ⋮ Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Positivity of partitioned Hermitian matrices with unitarily invariant norms ⋮ Unnamed Item ⋮ Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Preserving positivity for rank-constrained matrices ⋮ Partial determinant inequalities for positive semidefinite block matrices

Cites Work

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• Inequalities relating groups of diagonal products in a gram matrix
• The Schur Product Theorem in the Block Case
• Permanents
• Generalized Matrix Functions
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