Numerical Methods for the Solution of Ill-Posed Problems: 328 - Brossura

Tikhonov, A.N.; Goncharsky, A.; Stepanov, V.V.; Yagola, Anatoly G.

 
9789048145836: Numerical Methods for the Solution of Ill-Posed Problems: 328
Brossura
ISBN 10: 904814583X ISBN 13: 9789048145836
Casa editrice: Springer, 2010

Sinossi

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms.
The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.).
Besides the theoretical material, the book also contains a FORTRAN program library.
Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.

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Contenuti

Preface to the English edition. Introduction. 1. Regularization methods. 2. Numerical methods for the approximate solution of ill-posed problems on compact sets. 3. Algorithms for the approximate solution of ill-posed problems on special sets. 4. Algorithms and programs for solving linear ill-posed problems. Appendix: Program listings. Postscript. Index.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
904814583X
ISBN 13 
9789048145836
Rilegatura
Copertina flessibile
Numero di pagine
264
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Altre edizioni note dello stesso titolo

9780792335832: Numerical Methods for the Solution of Ill-Posed Problems: 328

Edizione in evidenza

ISBN 10:  079233583X ISBN 13:  9780792335832
Casa editrice: Kluwer Academic Print on Demand, 1995
Rilegato