On two Brownian-type classes of matrices with explicit Hessenberg inverses

Details On two Brownian-type classes of matrices with explicit Hessenberg inverses On two Brownian-type classes of matrices with explicit Hessenberg inverses

2002-08-09

arxiv.org/abs/math/0208075v3

Mathematics

Numerical Analysis

AAS LATEX v5.2; 10 pages; Section 7 and Appendix of v2 removed; content reformed; paper presented at the "Conference in Numeri

Scientific paper

In this paper, we present explicit inverses for two Brownian--type matrices, which are defined as Hadamard products of certain already known matrices. The matrices under consideration are defined by $3n-1$ parameters and their lower--Hessenberg--form inverses are expressed analytically in terms of these parameters. Such matrices are useful in the theory of digital signal processing and in the theory and applications of test matrices, i.e., matrices with known explicit inverses, which are thus appropriate for testing matrix inversion algorithms.

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