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Physical Sciences and Engineering Mathematics Algebra and Number Theory

A difference counterpart to a matrix Hölder inequality

Article ID Journal Published Year Pages File Type
4602143 Linear Algebra and its Applications 2010 7 Pages PDF
Abstract

We point out a sharp reverse Cauchy-Schwarz/Hölder matrix inequality. The Cauchy-Schwarz version involves the usual matrix geometric mean: Let AiAi and BiBi be positive definite matrices such that 0

Keywords
15A6047A3047A63Specht ratioRelative operator entropyGeometric meanCauchy?Schwarz inequalityPositive linear map
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
A difference counterpart to a matrix Hölder inequality
Authors
Masatoshi Fujii, Eun-Young Lee, Yuki Seo,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
47A30
47A63
Specht ratio
Relative operator entropy
Geometric mean
Cauchy?Schwarz inequality
Positive linear map
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
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Statistics and Probability
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