Heinz H. Bauschke

On Projection Algorithms for Solving Convex Feasibility Problems

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 convex… (More)

The Approximation of Xed Points of Compositions of Nonexpansive Mappings in Hilbert Space

Heinz H. Bauschke
1994

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,… (More)

Legendre functions and the method ofrandom

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. It… (More)

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

Heinz H. Bauschke, Jérôme 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 the… (More)

A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces

where Pi denotes the projector onto Si and where the mod m function takes values in 0 m−1 , converges weakly to a point in S =⋂mi=1 Si. In Gubin et al. (1967) (see also Bauschke 1995, Bauschke and… (More)

Essential smoothness , essential strict convexity , and Legendre functions in Banach spaces

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 developed… (More)

Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization

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 fundamental… (More)

Joint minimization with alternating Bregman proximity operators

Heinz H. Bauschke, Patrick L. Combettes, Dominikus Noll
2004

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 usual… (More)

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Heinz H. Bauschke, Patrick L. Combettes, Veit Elser
2009

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, in… (More)

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces

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

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