Regularization of Ill-Conditioned Linear Systems

Language: English

Published by LAP LAMBERT Academic Publishing Jan 2020, 2020

6200548757 / 9786200548757

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Neuware -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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Title
Regularization of Ill-Conditioned Linear Systems
Author
Sheima M. E. Abueldahab
Publisher
LAP LAMBERT Academic Publishing Jan 2020
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6200548757
ISBN 13
9786200548757
Item weight
96 grams
Dimensions
220x150x4 mm

Wegmann1855

Zwiesel, Germany

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