✦ LIBER ✦

Matrix Continued Fractions

✍ Scribed by Vladimir N. Sorokin; Jeannette Van Iseghem

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 167 KB
Volume: 96
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3232

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✦ Synopsis

A matrix continued fraction is defined and used for the approximation of a function F known as a power series in 1Âz with matrix coefficients p_q, or equivalently by a matrix of functions holomorphic at infinity. It is a generalization of P-fractions, and the sequence of convergents converges to the given function. These convergents have as denominators a matrix, the columns of which are orthogonal with respect to the linear matrix functional associated to F. The case where the algorithm breaks off is characterized in terms of F.

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