Rational matrix solutions to the Leech equation: The Ball-Trent approach revisited

2013/01/22 by S. ter Horst, Sanne ter Horst, ter Horst, Sanne
Chemistry · Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Molecular spectroscopy and chirality #math.FA

paper · pdf · doi:10.48550/arxiv.1301.5116

15 pages

arxiv created 2013/01/22 · openalex publication_date 2013/01/22 · arxiv updated 2013/01/23 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Using spectral factorization techniques, a method is given by which rational matrix solutions to the Leech equation with rational matrix data can be computed explicitly. This method is based on an approach by J.A. Ball and T.T. Trent, and generalizes techniques from recent work of T.T. Trent for the case of polynomial matrix data.

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