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A class of nonrealizable paramount matrices

โœ Scribed by Timothy A. Loughlin; Paul Slepian


Book ID
118283183
Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
469 KB
Volume
7
Category
Article
ISSN
0098-9886

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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