DOI: 10.1145/3637529.3637531 ISSN: 1932-2240
Computing Almost-Commuting Basis of Ordinary Differential Operators
Antonio Jiménez-Pastor, Sonia L. Rueda, Maria-Angeles Zurro- Microbiology (medical)
- Immunology
- Immunology and Allergy
An effective computation of a basis of a nontrivial centralizer of a differential operator is the first step towards a Picard-Vessiot theory for spectral problems of ordinary differential operators. The set of almost-commuting operators enjoys a richer structure that allows the computation of these centralizers. We present a method to calculate a basis of almost-commuting operators. Its application to the computation of nontrivial centralizers is illustrated by examples.