February 2014
Intermediate to advanced
300 pages
11h 15m
English
Content preview from Iterative Optimization in Inverse Problems
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Appendix A
Bregman-Legendre Functions
A.1 Essential Smoothness and Essential Strict Convexity ........... 255
A.2 Bregman Projections onto Closed Convex Sets .................. 256
A.3 Bregman-Legendre Functions .................................... 257
A.3.1 Useful Results about Bregman-Legendre Functions ..... 257
In [13] Bauschke and Borwein show convincingly that the Bregman-
Legendre functions provide the proper context for the discussion of Breg-
man projections onto closed convex sets. The summary here follows closely
the discussion given in [13].
A.1 Essential Smoothness and Essential Strict
Convexity
Following [192] we say that a closed proper
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