Treffer: A numerical method for solving linear non-autonomous systems based on linear programming
Title:
A numerical method for solving linear non-autonomous systems based on linear programming
Authors:
Source:
Applied mathematics and computation. 178(2):287-294
Publisher Information:
New York, NY: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Algèbre, Algebra, Algèbre linéaire et multilinéaire, matrices, Linear and multilinear algebra, matrix theory, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Algèbre linéaire numérique, Numerical linear algebra, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Programmation mathématique numérique, Numerical methods in mathematical programming, Algèbre linéaire numérique, Numerical linear algebra, Algebra lineal numérica, Analyse numérique, Numerical analysis, Análisis numérico, Equation dérivée partielle, Partial differential equation, Ecuación derivada parcial, Inversion matrice, Matrix inversion, Inversión matriz, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Méthode directe, Direct method, Método directo, Méthode discrétisation, Discretization method, Método discretización, Méthode numérique, Numerical method, Método numérico, Problème valeur initiale, Initial value problem, Problema valor inicial, Programmation linéaire, Linear programming, Programación lineal, Solution approchée, Approximate solution, Solución aproximada, Système linéaire, Linear system, Sistema lineal, Système non autonome, Non autonomous system, Sistema no autónomo, Unicité solution, Solution uniqueness, Unicidad solución, Existence, Matrice fondamentale, Discretization, Initial value problems, Non-autonomous linear systems
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Aerospace Research Institute, Tehran 14665-834, Iran, Islamic Republic of
ISSN:
0096-3003
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.18010228
Database:
PASCAL Archive
Weitere Informationen
In this article we propose an approximate solution method for solving linear non-autonomous systems with an initial condition. In this method, the initial value problem is transformed into a linear programming problem to obtain an approximate solution. The existence and uniqueness criterion for solution is also proved in a linear programming manner. Finally we propose a method to find the fundamental matrix of these systems. Numerical examples are considered.