Stable Approximate Evaluation of Unbounded Operators

Stable Approximate Evaluation of Unbounded Operators pdf epub mobi txt 电子书 下载 2025

出版者:Springer Verlag
作者:Groetsch, Charles W.
出品人:
页数:127
译者:
出版时间:
价格:$ 56.44
装帧:Pap
isbn号码:9783540399421
丛书系列:
图书标签:
  • 数值分析
  • 算子论
  • 逼近论
  • 稳定性
  • 无界算子
  • 函数逼近
  • 谱方法
  • 误差估计
  • 泛函分析
  • 数值方法
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具体描述

Spectral theory of bounded linear operators teams up with von Neumanna (TM)s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.

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