Theory of Linear Ill-Posed Problems and its Applications
Theory of Linear Ill-Posed Problems and its Applications
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DOI：
10.1515/9783110944822
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发表时间：
2002-07
期刊：
影响因子：
--
通讯作者：
V. Ivanov;V. Vasin;V. P. Tanana
中科院分区：
文献类型：
--
作者：
V. Ivanov;V. Vasin;V. P. Tanana
本专著是1978年俄文版的修订和扩充版。它包括关于E的线性不适定问题的一般理论。G.一致正则化集的结构、误差估计理论和最优性方法。作为一个显着的特点，bookconsidered不适定问题不仅在希尔伯特，而且在Banach空间。自第一版问世以来，逆问题和不适定问题的理论及其应用都取得了相当大的进展。为了反映这些成就，作者包括额外的材料e。G.每章的注释和带有注释的专著列表。
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the bookconsiders ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been madein the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.