February 2014
Intermediate to advanced
300 pages
11h 15m
English
Content preview from Iterative Optimization in Inverse Problems
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Chapter 6
Operators
6.1 Overview ......................................................... 75
6.2 Operators ......................................................... 76
6.3 Contraction Operators ........................................... 76
6.3.1 Lipschitz Continuous Operators ......................... 76
6.3.2 Nonexpansive Operators ................................. 77
6.3.3 Strict Contractions ...................................... 78
6.3.3.1 The Banach-Picard Theorem .............. 78
6.3.4 Instability ................................................ 79
6.4 Convex Sets in R
J
............................................... 79
6.5 Orthogonal Projection ...
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