Matrix Continued Fractions
Copyright policy )Matrix Continued Fractions
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.
- University of Lille France
- Lomonosov Moscow State University Russian Federation
- UNIVERSITÉ DE LILLE (EPE) France
- UNIVERSITE LILLE 1 France
- UNIVERSITE DE LILLE France
Mathematics(all), Numerical Analysis, Shohat–Favard theorem, Applied Mathematics, matrix continued fraction, continued fractions, P-fractions, Padé approximants and vector Padé approximants, matrix orthogonality, Approximation by other special function classes, Analysis
Mathematics(all), Numerical Analysis, Shohat–Favard theorem, Applied Mathematics, matrix continued fraction, continued fractions, P-fractions, Padé approximants and vector Padé approximants, matrix orthogonality, Approximation by other special function classes, Analysis
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