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Inequalities Involving the Inverses of Positive Definite Matrices1

Published online by Cambridge University Press:  20 January 2009

Russell Merris
Russell Merris
Affiliation:
California State University, Hayward CA 94542
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Let G be a permutation group of degree m. Let x be an irreducible complex character of G. If A = (aij) is an m-square matrix, the generalised matrix function of A based on G and x is defined by

For example if G = Sm, the full symmetric group, and x is the alternating character, then d = determinant. If G = Sm and x is identically 1, then d = permanent.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 1 , February 1979 , pp. 11 - 15
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

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