A constructive version of Warfield's Theorem
Type de document :
Pré-publication ou Document de travail
Titre :
A constructive version of Warfield's Theorem
Auteur(s) :
Mot(s)-clé(s) en anglais :
matrix equivalence
Linear functional systems
module isomorphisms
Linear functional systems
module isomorphisms
Discipline(s) HAL :
Informatique [cs]/Calcul formel [cs.SC]
Mathématiques [math]/Anneaux et algèbres [math.RA]
Mathématiques [math]/Anneaux et algèbres [math.RA]
Résumé en anglais : [en]
Within the algebraic analysis approach to linear system theory, a multidimensional linear system can be studied by means of its associated finitely presented left module. Deep connections exist between module isomorphisms ...
Lire la suite >Within the algebraic analysis approach to linear system theory, a multidimensional linear system can be studied by means of its associated finitely presented left module. Deep connections exist between module isomorphisms and equivalent matrices. In the present paper, we introduce a constructive proof of a result due to Warfield which controls the size of equivalent matrices involved in the study of isomorphic modules. We illustrate our constructive proof with an example coming from differential equations with constant coefficients.Lire moins >
Lire la suite >Within the algebraic analysis approach to linear system theory, a multidimensional linear system can be studied by means of its associated finitely presented left module. Deep connections exist between module isomorphisms and equivalent matrices. In the present paper, we introduce a constructive proof of a result due to Warfield which controls the size of equivalent matrices involved in the study of isomorphic modules. We illustrate our constructive proof with an example coming from differential equations with constant coefficients.Lire moins >
Langue :
Anglais
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