Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/45128DOI: 10.1016/j.amc.2017.06.007
ISSN: 0096-3003
Editor
Elsevier
Fecha de publicación
2017-11-15Patrocinadores
Ministerio de Economía y Competitividad
Cita bibliográfica
Sendra, J.R. & Sendra, J. 2017, “Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries”, Applied Mathematics and Computation, vol. 313, pp. 355-366
Palabras clave
Generalized inverses
Moore-Penrose fields
Meromorphic functions
Matrices of functions
Descripción
J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)
Proyectos
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.amc.2017.06.007Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2017 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
In this paper, given a field with an involutory automorphism, we introduce the notion of Moore-Penrose field by requiring that all matrices over the field have Moore-Penrose inverse. We prove that only characteristic zero fields can be Moore-Penrose, and that the field of rational functions over a Moore-Penrose field is also Moore-Penrose. In addition, for a matrix with rational functions entries with coefficients in a field K, we find sufficient conditions for the elements in K to ensure that the specialization of the Moore-Penrose inverse is the Moore-Penrose inverse of the specialization of the matrix. As a consequence, we provide a symbolic algorithm that, given a matrix whose entries are rational expression over C of finitely many meromeorphic functions being invariant by the involutory automorphism, computes its Moore-Penrose inverve by replacing the functions by new variables, and hence reducing the problem to the case of matrices with complex rational function entries.
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Colecciones
- MATEMATIC - Artículos [172]