Titlebook: Ill-Posed Problems: Theory and Applications; A. Bakushinsky,A. Goncharsky Book 1994 Springer Science+Business Media Dordrecht 1994 Approxi

ARGOT

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ALB

standable because we observe the rapid progress of a relatively young branch ofmathematics, ofwhich the first results date back to about 30 years ago. By now, impressive results have been achieved both in the theory ofsolving ill-posed problems and in the applicationsofalgorithms using modem compute

GENRE

Book 1994because we observe the rapid progress of a relatively young branch ofmathematics, ofwhich the first results date back to about 30 years ago. By now, impressive results have been achieved both in the theory ofsolving ill-posed problems and in the applicationsofalgorithms using modem computers. To men

Lucubrate

Iterative algorithms for solving non-linear ill-posed problems with monotonic operators. Principle mations (see Chapter 3) though being applicable to non-linear case, does not directly lead to numerically implementable RA. This occurs due to additional approximations (usually the iterative ones) which are necessary to calculate values of operators.(or

混合物

General problems of regularizability,r consists of experimentally observed attributes of the studied phenomena. The problems of processing experimental data are always concerned with inevitable experimental errors. For the purposes of present analysis, we shall consider the objects of the second kind belonging to some metric space ., a

灰心喪氣

,Tikhonov’s scheme for constructing regularizing algorithms,velopment of the numerical methods for solving the ill-posed problems. The constructions described in this chapter immediatly lead to easily implementable numerical algorithms widely used in practice for the linear problems. For the non-linear problems, Tikhonov’s scheme may be used as a principal b

moratorium

Iterative algorithms for solving non-linear ill-posed problems with monotonic operators. Principle ill-posed problems, as well as the regularizing algorithms based on such approximations. The traditional variational technique of constructing approximations (see Chapter 3) though being applicable to non-linear case, does not directly lead to numerically implementable RA. This occurs due to additio

TAIN

Iterative methods for solving non-linear ill-posed operator equations with non-monotonic operators,. The analysis given in this chapter does not use the assumption of monotony. As usual, we concentrate on the cases when the conditions ensuring convergence of traditional iterative techniques are not satisfied.

背信

污穢