J Austral Math Soc Ser B 36 pp493--497, 1995.

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

F. N. Valvi

(Received 10 March 1993; revised 9 July 1993)

Abstract

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 0(n²) multiplications/divisions and 0(n) additions/subtractions.

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Author

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

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Last Modified: Mon Dec 10 10:53:51 2001