Numerical Methods for the Solution of Ill-Posed Problems (Paperback, Softcover reprint of hardcover 1st ed. 1995)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 328
Release date:	December 2010
First published:	1995
Authors:	A. N. Tikhonov • A. Goncharsky • V.V. Stepanov • Anatoly G. Yagola
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	253
Edition:	Softcover reprint of hardcover 1st ed. 1995
ISBN-13:	978-90-481-4583-6
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Optimization > General
LSN:	90-481-4583-X
Barcode:	9789048145836

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