Methods for solving operator equations / V.P. Tanana.

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Bibliographic Details
Main Author: Tanana, V. P. (Vitaliĭ Pavlovich)
Format: eBook
Published: [Place of publication not identified] : [De Gruyter], [2012]
Edition:[Digital ed.].
Series:Inverse and ill-posed problems series.
Online Access:Click for online access


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100 1 |a Tanana, V. P.  |q (Vitaliĭ Pavlovich)  |1 
245 1 0 |a Methods for solving operator equations /  |c V.P. Tanana. 
250 |a [Digital ed.]. 
260 |a [Place of publication not identified] :  |b [De Gruyter],  |c [2012] 
300 |a 1 online resource (223 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series 
500 |a Originally published: Utrecht : VSP, 1997. 
504 |a Includes bibliographical references (pages 209-223). 
588 0 |a Cover of PDF version (Ebsco, viewed on July 3, 2013). 
505 0 |a Preface -- Introduction -- 1 Regularization of linear operator equations. -- Â1.1 Classification of ill-posed problems and the concept of the optimal method -- Â1.2 The estimate from below for Î?opt -- Â1.3 The error of the regularization method -- Â1.4 The algorithmic peculiarities of the generalized residual principle -- Â1.5 The error of the quasi-solutions method -- Â1.6 The regularization method with the parameter α chosen by the residual -- Â1.7 The projection regularization method -- Â1.8 On the choice of the optimal regularization parameter 
505 8 |a Â1.9 Optimal methods for solving unstable problems with additional information on the operator AÂ1.10 On the regularization of operator equations of the first kind with the approximately given operator and on the choice of the regularization parameter -- Â1.11 The generalized residual principle -- Â1.12 The optimum of the generalized residual principle -- 2 Finite â€? dimensional methods of constructing regularized solutions -- Â2.1 The notion of Ï?-uniform convergence of linear operators 
505 8 |a Â2.2 The general scheme of finite-dimensional approximation in the regularization methodÂ2.3 Application of the general scheme to the projection and finite difference methods -- Â2.4 The general scheme of finite-dimensional approximation in the generalized residual method -- Â2.5 The iterative method for determining the finite-dimensional approximation in the generalized residual principle -- Â2.6 The general scheme of finite-dimensional approximations in the quasi-solution method 
505 8 |a Â2.7 The necessary and sufficient conditions for the convergence of finite-dimensional approximations in the regularization methodÂ2.8 On the discretization the ofvariational problem (1.11.5) -- Â2.9 Finite-dimensional approximation of regularized solutions -- Â2.10 Application -- 3 Regularization of nonlinear operator equations -- Â3.1 Approximate solution of nonlinear operator equations with a disturbed operator by the regularization method. -- Â3.2 Approximate solution of implicit operator equations of the first kind by the regularization method 
650 0 |a Operator equations  |x Numerical solutions. 
650 0 |a Numerical analysis. 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Numerical analysis  |2 fast 
650 7 |a Operator equations  |x Numerical solutions  |2 fast 
758 |i has work:  |a Methods for solving operator equations (Text)  |1  |4 
776 0 8 |i Print version:  |a Tanana, V.P.  |t Methods for Solving Operator Equations.  |d Munchen : De Gruyter, ©2012  |z 9789067642378 
830 0 |a Inverse and ill-posed problems series. 
856 4 0 |u  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD