Matrix continued fractions

A matrix continued fraction is defined and used for the approximation of a function F known as a power series in 1/z with matrix coefficients p x q, o r equivalently by a matrix of functions holomorphic at infinity. Ht is a ge neralization of P-fractions, and the sequence of convergents converges to t he given function. These convergents have as denominators a matrix, the col umns of which are orthogonal with respect to the linear matrix functional a ssociated to F. The case where the algorithm breaks off is characterized in terms of F. (C) 1999 Academic Press.