Nonlinear Ill-Posed Problems: 14 - Rilegato

Tikhonov, A.N.; Leonov, A.S.; Yagola, A.G.

 
9780412786600: Nonlinear Ill-Posed Problems: 14

Sinossi

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.

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Contenuti

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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9789401751698: Nonlinear Ill-posed Problems

Edizione in evidenza

ISBN 10:  9401751692 ISBN 13:  9789401751698
Casa editrice: Springer Nature, 2014
Brossura