Nonlinear ill-posed problems
著者
書誌事項
Nonlinear ill-posed problems
（Applied mathematics and mathematical computation, 14）
Chapman & Hall, 1998
- : set
- v. 1
- v. 2
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内容説明・目次
- 巻冊次
-
v. 1 ISBN 9780412759109
内容説明
This is an introduction to the theory of non-linear ill-posed problems. It considers applications in linear algebra, vibrational spectroscopy, astrophysics and medicine.
- 巻冊次
-
: set ISBN 9780412786600
内容説明
Professor A.N. Tikhonov was the founder of nonlinear ill-posed problem theory. This two-volume book introduces the reader to the theory and shows its applications in the natural sciences.
The first volume introduces the foundations of the theory and provides the background necessary for the design of numerical methods. The second volume presents the finite-dimensional variants and modification of these methods to help readers use current computer software. It considers applications in linear algebra, vibrational spectroscopy, astrophysics, and medicine.
目次
Preface
Introduction
Topics from Topology, Functional Analysis, and Linear Algebra
Variational Methods for Solving Ill-Posed Extremal Problems. Variational Algorithms for Solving Nonlinear Operator Equations. Finite-Dimensional Variants of Algorithms. Piece-Uniform Regularization of Ill-Posed Problems with Discontinuous Solutions
Applications to Solving Linear Algebraic Problems
Numerical Solution of Nonlinear Ill-Posed Problems
References
Author Index
Subject Index
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