Nonlinear ill-posed problems

Author(s)

Bibliographic Information

Nonlinear ill-posed problems

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

（Applied mathematics and mathematical computation, 14）

Chapman & Hall, 1998

  • : set
  • v. 1
  • v. 2

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Description and Table of Contents

Volume

v. 1 ISBN 9780412759109

Description

This is an introduction to the theory of non-linear ill-posed problems. It considers applications in linear algebra, vibrational spectroscopy, astrophysics and medicine.
Volume

: set ISBN 9780412786600

Description

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.

Table of Contents

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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