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Regularization of Ill-posed Problems by Iteration Methods
Gilyazov, S.F.; Goldman, N.L.
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Description for Regularization of Ill-posed Problems by Iteration Methods
Hardback. Presents results in regularization of ill-posed problems by iteration methods. This work is useful for specialists in the theory of partial differential and integral equations, in numerical analysis and in theory and methods. Series: Mathematics and its Applications. Num Pages: 342 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 20. Weight in Grams: 722.
Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear ... Read more
Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear ... Read more
Product Details
Format
Hardback
Publication date
1999
Publisher
Kluwer Academic Publishers United States
Number of pages
342
Condition
New
Series
Mathematics and its Applications
Number of Pages
342
Place of Publication
Dordrecht, Netherlands
ISBN
9780792361312
SKU
V9780792361312
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Regularization of Ill-posed Problems by Iteration Methods
`The book will be useful for specialists who in their theoretical and applied investigations deal with ill-posed and inverse problems.' Mathematical Reviews Clippings (2001)