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The Hadamard product of two Brownian matrices: Analytic inverse and determinant

Published online by Cambridge University Press:  17 February 2009

F. N. Valvi
F. N. Valvi
Affiliation:
Department of Mathematics, University of Patras, Patras, Greece.
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Abstract

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The explicit inverse and determinant of a class of matrices is given. The class is the Hadamard product of two already known classes. Its elements are defined by 3n − 1 parameters, analytical expressions of which compose the Hessenberg form inverse. These expressions enable a recursive formula to be obtained, which gives the inverse in O(n2) multiplications/divisions and O(n) additions/subtractions.

Type
Research Article
Information
The ANZIAM Journal , Volume 36 , Issue 4 , April 1995 , pp. 493 - 497
Copyright
Copyright © Australian Mathematical Society 1995

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