UID:
almahu_9949462114202882
Format:
1 online resource (136 p.)
ISBN:
9783110250657
,
9783110238570
Series Statement:
Inverse and Ill-Posed Problems Series , 54
Content:
Ill-posed problems 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. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
1 The regularity condition. Newton's method --
,
2 The Gauss-Newton 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 Gauss-Newton method --
,
11 The stable gradient method for irregular nonlinear equations --
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12 Relative computational efficiency of iteratively regularized methods --
,
13 Numerical investigation of two-dimensional inverse gravimetry problem --
,
14 Iteratively regularized methods for inverse problem in optical tomography --
,
15 Feigenbaum's universality equation --
,
16 Conclusion --
,
References --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010, De Gruyter, 9783110233544
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010, De Gruyter, 9783110233551
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010, De Gruyter, 9783110233636
Additional Edition:
ISBN 9783110250640
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110250657
URL:
https://doi.org/10.1515/9783110250657
URL:
https://www.degruyter.com/isbn/9783110250657
