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Mathematics

D-Index
53
Citations
17798
World Ranking
882
National Ranking
29

Overview

Heinz H. Bauschke is affiliated with the University of British Columbia in Canada. Their research primarily spans the fields of Mathematics and Computer Science, with a particular focus on Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics, Applied Mathematics, and Geometry and Topology.

Their main topics of work include:

  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Matrix Theory and Algorithms
  • Sparse and Compressive Sensing Techniques
  • Fixed Point Theorems Analysis
  • Point processes and geometric inequalities
  • Mathematical Inequalities and Applications

Heinz H. Bauschke has a substantial body of publications across various venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • SIAM Journal on Optimization
  • Set-Valued and Variational Analysis
  • Mathematical Programming
  • Vietnam Journal of Mathematics

Notable recent papers from their work include:

  • "Generalized monotone operators and their averaged resolvents," 2020, Mathematical Programming
  • "On the linear convergence of circumcentered isometry methods," 2020, Numerical Algorithms
  • "Circumcentered Methods Induced by Isometries," 2020, Vietnam Journal of Mathematics
  • "Best approximation mappings in Hilbert spaces," 2021, Mathematical Programming
  • "On the Behavior of the Douglas--Rachford Algorithm for Minimizing a Convex Function Subject to a Linear Constraint," 2020, SIAM Journal on Optimization

Heinz H. Bauschke collaborates frequently with a group of coauthors, including:

  • Walaa M. Moursi
  • Xianfu Wang
  • Shambhavi Singh
  • Manish Krishan Lal
  • Hui Ouyang

In addition to journal publications, Heinz H. Bauschke has contributed to book literature. One recorded contribution is "An Introduction to Convexity, Optimization, and Algorithms," published in 2023 by the Society for Industrial and Applied Mathematics.

Best Publications

  • Convex Analysis and Monotone Operator Theory in Hilbert Spaces

    Heinz H. Bauschke;Patrick L. Combettes

  • On Projection Algorithms for Solving Convex Feasibility Problems

    Heinz H. Bauschke;Jonathan M. Borwein

  • Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization.

    Heinz H. Bauschke;Patrick L. Combettes;D. Russell Luke

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

    Heinz H. Bauschke;Patrick L. Combettes

  • The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space

    Heinz H. Bauschke

  • Legendre functions and the method of random Bregman projections

    Heinz H. Bauschke;Jonathan M. Borwein

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

    Heinz H. Bauschke;Jérôme Bolte;Marc Teboulle

  • On the convergence of von Neumann's alternating projection algorithm for two sets

    Heinz H. Bauschke;Jonathan M. Borwein

  • ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES

    Heinz H. Bauschke;Jonathan M. Borwein;Patrick L. Combettes

  • Fixed-Point Algorithms for Inverse Problems in Science and Engineering

    Heinz H. Bauschke;Regina S. Burachik;Patrick L. Combettes;Veit Elser

  • Bregman Monotone Optimization Algorithms

    Heinz H. Bauschke;Jonathan M. Borwein;Patrick L. Combettes

  • Projection and proximal point methods: convergence results and counterexamples

    Heinz H. Bauschke;Eva Matoušková;Simeon Reich

  • Hybrid projection–reflection method for phase retrieval

    Heinz H. Bauschke;Patrick L. Combettes;D. Russell Luke

  • 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

  • Dykstra's Alternating Projection Algorithm for Two Sets

    H.H. Bauschke;J.M. Borwein

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

    Heinz H. Bauschke;Patrick L. Combettes;D. Russell Luke

  • Full length article: The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle

    Heinz H. Bauschke;J. Y. Bello Cruz;Tran T. A. Nghia;Hung M. Phan

  • Dykstras algorithm with bregman projections: A convergence proof

    Heinz H Bauschke;Adrian S Lewis

  • Hyperbolic Polynomials and Convex Analysis

    Heinz H. Bauschke;Osman Güler;Adrian S. Lewis;Hristo S. Sendov

  • SIAM Journal on Optimization

    C Audet;H H Bauschke;L T Biegler;P L Combettes

  • Correction to: Convex Analysis and Monotone Operator Theory in Hilbert Spaces

    Heinz H. Bauschke;Patrick L. Combettes

Frequent Co-Authors

Patrick L. Combettes
Patrick L. Combettes North Carolina State University
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Dominikus Noll
Dominikus Noll Paul Sabatier University
Jane J. Ye
Jane J. Ye University of Victoria
Adrian S. Lewis
Adrian S. Lewis Cornell University
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology
Henry Wolkowicz
Henry Wolkowicz University of Waterloo
Marc Teboulle
Marc Teboulle Tel Aviv University
Paul Tseng
Paul Tseng University of Washington
Lorenz T. Biegler
Lorenz T. Biegler Carnegie Mellon University

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