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portada Regularization of Ill-Conditioned Linear Systems
Type
Physical Book
Language
English
Pages
52
Format
Paperback
Dimensions
22.9 x 15.2 x 0.3 cm
Weight
0.09 kg.
ISBN13
9786200548757
Categories

Regularization of Ill-Conditioned Linear Systems

Sheima M. E. Abueldahab (Author) · LAP Lambert Academic Publishing · Paperback

Regularization of Ill-Conditioned Linear Systems - M. E. Abueldahab, Sheima

New Book Imported to South Africa
Delivery: 19 Aug - 27 Aug Shipping: 13 to 14 business days.
R 803
R 803

Synopsis "Regularization of Ill-Conditioned Linear Systems"

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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