February 2014
Intermediate to advanced
300 pages
11h 15m
English
Content preview from Iterative Optimization in Inverse Problems
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Chapter 7
Averaged and Paracontractive
Operators
7.1 Averaged Operators .............................................. 91
7.2 Gradient Operators .............................................. 94
7.3 Two Useful Identities ............................................ 94
7.4 The Krasnosel’skii-Mann-Opial Theorem ........................ 95
7.5 Affine Linear Operators .......................................... 96
7.5.1 The Hermitian Case ..................................... 96
7.6 Paracontractive Operators ....................................... 96
7.6.1 Linear and Affine Paracontractions ..................... 97
7.6.2 The Elsner-Koltracht-Neumann Theorem ............... ...
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