On two Brownian-type classes of matrices with explicit Hessenberg inverses
F. N. Valvi, V. S. Geroyannis · arXiv (Cornell University) · 2002
The present paper constitutes an investigation on two twin classes of matrices, which result as Hadamard products of already known classes of matrices. The classes under consideration have Brownian form, which is defined by 3n − 1 parameters. Their inverses are matrices of lower Hessenberg form, the elements of which can be expressed analytically by these parameters. The explicit forms of the inverses and determinants of the two classes are given and the numerical complexity on the inverse evaluation is considered. Subject headings: Brownian matrix — explicit inverse — Hadamard product — Hessenberg matrix — numerical complexity — test matrix 1.