Artículos relacionados a Regularization of Ill-Conditioned Linear Systems

Regularization of Ill-Conditioned Linear Systems - Tapa blanda

M. E. Abueldahab, Sheima

 
9786200548757: Regularization of Ill-Conditioned Linear Systems
Tapa blanda
ISBN 10: 6200548757 ISBN 13: 9786200548757
Editorial: LAP LAMBERT Academic Publishing, 2020

Sinopsis

Ill-conditioned linear systems arise in many applications, for example, in the solution of integral equations, and in the solution of non-linear programming problems. In many application of linear algebra, the need arises to find a good approximation matrix (bx) to a vector (x) satisfying an approximating equation Ax ≈ b with ill-conditioned matrix (A) , given matrix (b). Straightforward the computed solution (bx) is usually meaningless approximation to ( x ) due to the error in the righthand side ( b ) and the severe ill-conditioning of the matrix ( A).In order to avoid this difficulty, one typically replaces the linear systems Ax = b, by a nearby system that is less sensitive to the error in (b) and considers the computed solution of the latter system an approximation of (x). This replacement is known as regularization. This work examines various regularization methods for computing stable solution to ill-conditioned linear systems.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2020
Idioma
Inglés
ISBN 10 
6200548757
ISBN 13 
9786200548757
Encuadernación
Tapa blanda
Número de páginas
52
Contacto del fabricante
no disponible
Persona responsable
no disponible