Stable solution of inverse problems

Stable solution of inverse problems
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DOI:
10.1007/978-3-322-83967-1
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发表时间:
1987
期刊:
--
影响因子:
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通讯作者:
J. Baumeister
J. Baumeister
中科院分区:
其他
文献类型:
--
作者:
J. Baumeister

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这些笔记旨在描述以稳定的方式解决反问题的基本概念。由于几乎所有的反问题在最初的表述中都是不适定的,因此讨论克服这一事实所导致的困难的方法是本书的主要主题。在过去的15年里,关于反问题的出版物数量迅速增长。因此,这些笔记既不是对所审议主题的全面介绍,也不是一部完整的专著;它旨在提供主要的思想和方法。自始至终,我们没有争取最笼统的声明,而是最明确的、涵盖大多数情况的声明。
These notes are intended to describe the basic concepts of solving inverse problems in a stable way. Since almost all inverse problems are ill-posed in its original formulation the discussion of methods to overcome difficulties which result from this fact is the main subject of this book.Over the past fifteen years, the number of publications on inverse problems has grown rapidly. Therefore, these notes can be neither a comprehensive introduction nor a complete monograph on the topics considered; it is designed to provide the main ideas and methods. Throughout, we have not striven for the most general statement, but the clearest one which would cover the most situations.