Matrix continued fractions (Q1283901)

The matrix continued fraction of a function defined by its power series in \({1\over z}\) with matrix coefficients of dimension \(p\times q\) is presented as a generalisation of \(P\)-fraction. The authors give an algorithm to built the above fraction which corresponds to the extension of the Euler-Jacobi-Perron algorithm. The effect of the interruption of this algorithm is discussed.