Description 
1 online resource (152 pages) 
Contents 
Preface; Contents; 1 The regularity condition. Newton's method; 2 The GaussNewton method; 3 The gradient method; 4 Tikhonov's scheme; 5 Tikhonov's scheme for linear equations; 6 The gradient scheme for linear equations; 7 Convergence rates for the approximation methods in the case of linear irregular equations; 8 Equations with a convex discrepancy functional by Tikhonov's method; 9 Iterative regularization principle; 10 The iteratively regularized GaussNewton method; 11 The stable gradient method for irregular nonlinear equations 

12 Relative computational efficiency of iteratively regularized methods13 Numerical investigation of twodimensional inverse gravimetry problem; 14 Iteratively regularized methods for inverse problem in optical tomography; 15 Feigenbaum's universality equation; 16 Conclusion; References; Index 
Summary 
Illposed problemsâ‚¬are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions. Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations.â‚¬These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current tex 
Notes 
Print version record 
Form 
Electronic book

Author 
Kokurin, Mihail Yu


Smirnova, A. B. (Aleksandra Borisovna)

ISBN 
3110250659 

9783110250657 
