《Linear Operators and Ill-posed Problems》是1995年8月出版的圖書,作者是Lavrent'ev, M. M.; Savel'ev, L. Ya。
基本介紹
- 中文名:Linear Operators and Ill-posed Problems
- 作者:Lavrent'ev, M. M.; Savel'ev, L. Ya
- 語言:英語
- 出版時間:1995年8月
- 頁數:395 頁
- ISBN:9780306110351
- 定價:303.97 美元

《Linear Operators and Ill-posed Problems》是1995年8月出版的圖書,作者是Lavrent'ev, M. M.; Savel'ev, L. Ya。
6.7 Problems A Basic Facts from Functional Analysis A.1 Normed Spaces and Hilbert Spaces A.2 Orthonormal Systems A.3 Linear Bounded and Compact Operators A.4 Sobolev Spaces of Periodic Functions A.5 Sobolev Spaces on the Unit Disc A.6 Spectral Theory for Compact Operators in Hilbert ...
1 Introduction and Basic Concepts 1.1 Examples oflnverse Problems 1.2 Ill-Posed Problems 1.3 The Worst-Case Error 1.4 Problems 2 Regularization Theory for Equations of the First Kind 2.1 A General Regularization Theory 2.2 Tikhonov Regularization 2.3 Landweber Iteration 2.4 A ...
1.5 Nonhomogeneous Linear System 22 1.6 Inverse Problems and Operator Equations of the First Kind 23 1.7 Outlines 23 Chapter 2 Integral Equations 25 2.1 Introduction 25 2.2 Metric, Normed and Euclidean Spaces 27 Exam questions 31 2.3 Elements of the Theory of Linear Operators 32 Exam ...
Ill-posed Problems 2.1 Introduction 2.2 Using Parallel Computing 2.2.1 Main idea of parallel computing 2.2.2 Parallel computing limitations 2.3 Parallelization of Multidimensional Ill-posed Problem 2.3.1 Formulation of the problem and method of solution 2.3.2 Finite-difference approximation of...
Curtis R. Vogel is a Professor in the Department of Mathematical Sciences at Montana State University. His research interests include numerical analysis, mathematical modeling, optimization, inverse and ill-posed problems, and scientific computing. He has written many refereed articles and reports on ...
6.2.3 A related four-parameter ill-posed problem 175 6.2.4 Analytical solution for f (η) via the homotopy analysis method 178 6.2.5 Results and discussion 181 References 184 Subject Index 185 Author Index 187 作者簡介 作者:(美國)瓦捷拉維魯( Kuppalapalle Vajravelu) (美國)隔德(...
2.6 Nonlinear ill-posed problems 2.7 Iterative and other methods References 3 Inverse Problems with A Priori Information Vladimir V. Vasin 3.1 Introduction 3.2 Formulation of the problem with a priori information 3.3 The main classes of mappings of the Fejer type and their properties 3.4 ...
