On the Method of Partial Fractions with Matrix Coefficients and Applications

2025/07/13 by Ruben G. Airapetyan, Airapetyan, Ruben
Computer Science · Mathematics · Physics and Astronomy · #15-01 #34-01 #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2507.09661

openalex publication_date 2025/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper introduces a method of partial fractions with matrix coefficients and its applications to finding chains of generalized eigenvectors, to evaluation of matrix exponentials, and to solution of linear systems of ordinary differential equations with constant coefficients.

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