On power means of positive quadratic forms

Erwin Lutwak

doi:10.1016/0024-3795(84)90172-1

On power means of positive quadratic forms

Erwin Lutwak

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Some power means of positive definite quadratic forms are closely related to the fundamental scalar functions of the matrix associated with the quadratic form. This relation can (among other things) be used to give new proofs of some of the classical matrix inequalities.

Original language	English (US)
Pages (from-to)	13-19
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	57
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(84)90172-1
State	Published - Feb 1984

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(84)90172-1

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abstract = "Some power means of positive definite quadratic forms are closely related to the fundamental scalar functions of the matrix associated with the quadratic form. This relation can (among other things) be used to give new proofs of some of the classical matrix inequalities.",

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On power means of positive quadratic forms

Abstract

ASJC Scopus subject areas

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