Numerical Methods for the Solution of Ill-Posed Problems

A. N. Tikhonov

ISBN 10: 079233583X / ISBN 13: 9780792335832

Published by Springer Netherlands Jun 1995, 1995

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems. 268 pp. Englisch.

Seller Inventory # 9780792335832

Bibliographic Details

• Title: Numerical Methods for the Solution of Ill-Posed Problems
• Publisher: Springer Netherlands Jun 1995
• Publication Date: 1995
• Language: English
• ISBN 10: 079233583X
• ISBN 13: 9780792335832
• Binding: Buch
• Condition: Neu

About this title

Synopsis

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms.
The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.).
Besides the theoretical material, the book also contains a FORTRAN program library.
Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.

Language Notes

Text: English (translation)
Original Language: Russian