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On a product of positive semidefinite matrices

โœ Scribed by A.R. Meenakshi; C. Rajian

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
59 KB
Volume
295
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

two psd matrices is psd if and only if the product is normal.

๐Ÿ“œ SIMILAR VOLUMES

A class of positive semidefinite matrice
A class of positive semidefinite matrices
โœ A.M. Russell; C.J.F. Upton ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 298 KB

A matrix [ ai j( a)xi j ] is shown to be positive semidefinite or positive definite if the matrix [xi j] is positive semidefinite or positive definite and aij( a) belongs to a large class of functions of a. This class includes the reciprocals of the ath mean values of xii and xii in the cases where

Some inequalities for sum and product of
Some inequalities for sum and product of positive semidefinite matrices
โœ Bo-Ying Wang; Bo-Yan Xi; Fuzhen Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm, trace, and eigenvalue for sum and product of positive semideยฎnite (Hermitian) matrices. Some open questions proposed by Marshall and Olkin are resolved.