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A class of positive semidefinite matrices

โœ Scribed by A.M. Russell; C.J.F. Upton

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
298 KB
Volume
93
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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 xii, xii, and a are all positive.

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