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- Heinz H. Bauschke, Jonathan M. Borwein
- SIAM Review
- 1996

Due to their extraordinary utility and broad applicability in many areas of classical mathematics and modern physical sciences (most notably, computerized tomography), algorithms for solving convexâ€¦ (More)

Determining xed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for nding common xed points of nonexpansive mappings in Hilbert space,â€¦ (More)

- Heinz H. Bauschke, Milton Jonathan, BorweinyCentre
- 1995

The convex feasibility problem, that is, finding a point in the intersection of finitely many closed convex sets in Euclidean space, arises in various areas of mathematics and physical sciences. Itâ€¦ (More)

A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

- Heinz H. Bauschke, JÃ©rÃ´me Bolte, Marc Teboulle
- Math. Oper. Res.
- 2017

The proximal gradient and its variants is one of the most attractive first-order algorithm for minimizing the sum of two convex functions, with one being nonsmooth. However, it requires theâ€¦ (More)

- Heinz H. Bauschke, Patrick L. Combettes
- Math. Oper. Res.
- 2001

where Pi denotes the projector onto Si and where the mod m function takes values in 0 mâˆ’1 , converges weakly to a point in S =â‹‚mi=1 Si. In Gubin et al. (1967) (see also Bauschke 1995, Bauschke andâ€¦ (More)

The classical notions of essential smoothness, essential strict convexity, and Legendreness for convex functions are extended from Euclidean to Banach spaces. A pertinent duality theory is developedâ€¦ (More)

- Heinz H. Bauschke, Jonathan M. Borwein, Wu Li
- Math. Program.
- 1999

The strong conical hull intersection property and bounded linear regularity are properties of a collection of finitely many closed convex intersecting sets in Euclidean space. These fundamentalâ€¦ (More)

A systematic study of the proximity properties of Bregman distances is carried out. This investigation leads to the introduction of a new type of proximity operator which complements the usualâ€¦ (More)

The objective of this workshop was to bring together researchers with a strong interest in projection and firstorder fixed-point algorithms, both from mathematics and from the applied sciences, inâ€¦ (More)

- Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
- Journal of Approximation Theory
- 2004