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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
- Heinz H. Bauschke, P. L. Combettes
- MathematicsCMS Books in Mathematics
- 26 April 2011
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is…
On Projection Algorithms for Solving Convex Feasibility Problems
- Heinz H. Bauschke, J. Borwein
- MathematicsSIAM Rev.
- 1 September 1996
TLDR
A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications
- Heinz H. Bauschke, J. Bolte, M. Teboulle
- Mathematics, Computer ScienceMath. Oper. Res.
- 1 May 2017
TLDR
The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space
- Heinz H. Bauschke
- Mathematics
- 15 August 1996
Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space,…
SIAM Journal on Optimization
- C. Audet, Heinz H. Bauschke, H. Wolkowicz
- Computer Science
- 2012
The SIAM Journal on Optimization contains research articles on the theory and practice of optimization. The areas addressed include linear and quadratic programming, convex programming, nonlinear…
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces
- Heinz H. Bauschke, P. L. Combettes
- MathematicsMath. Oper. Res.
- 1 May 2001
TLDR
Legendre functions and the method of random Bregman projections
- Heinz H. Bauschke, J. Borwein
- Mathematics
- 1997
The convex feasibility problem, that is, nding a point in the intersection of nitely many closed convex sets in Euclidean space, arises in various areas of mathematics and physical sciences. It can…
Bregman Monotone Optimization Algorithms
- Heinz H. Bauschke, J. Borwein, P. L. Combettes
- MathematicsSIAM J. Control. Optim.
- 1 February 2003
TLDR
On the convergence of von Neumann's alternating projection algorithm for two sets
- Heinz H. Bauschke, J. Borwein
- Mathematics
- 1 June 1993
We give several unifying results, interpretations, and examples regarding the convergence of the von Neumann alternating projection algorithm for two arbitrary closed convex nonempty subsets of a…
Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization
- Heinz H. Bauschke, J. Borwein, Wu Li
- MathematicsMath. Program.
- 1 September 1999
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