Heinz H. Bauschke

Computer Science · Physical Sciences

45h-index15.8kcitations378works0.12yr avg
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Research Topics

Optimization and Variational Analysis(267), Advanced Optimization Algorithms Research(200), Fixed Point Theorems Analysis(68), Mathematical Inequalities and Applications(57), Sparse and Compressive Sensing Techniques(46)

Publications378 total

Extending Meshulam's result on the boundedness of orbits of relaxed projections onto affine subspaces from finite to infinite-dimensional Hilbert spaces
ArXiv.org·2026Open Access
Extending Meshulam's result on the boundedness of orbits of relaxed projections onto affine subspaces from finite to infinite-dimensional Hilbert spaces
arXiv (Cornell University)·2026Open Access
The Güntürk-Thao theorem revisited: polyhedral cones and limiting examples
arXiv (Cornell University)·2026Open Access
The Güntürk-Thao theorem revisited: polyhedral cones and limiting examples
ArXiv.org·2026Open Access
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
Optimization·2025
On the equivalence of $c$-potentiability and $c$-path boundedness in the sense of Artstein-Avidan, Sadovsky, and Wyczesany
arXiv (Cornell University)·2025Open Access
On the Bredies–Chenchene–Lorenz–Naldi Algorithm: Linear Relations and Strong Convergence
SIAM Journal on Optimization·2025· 2 cited
Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting
arXiv (Cornell University)·2025Open Access
On the boundedness of the sequence generated by minibatch stochastic gradient descent
arXiv (Cornell University)·2025Open Access
New Trends in Optimization, Control, and Their Applications: Guest Editorial
Journal of Optimization Theory and Applications·2025Open Access
Graph splitting methods: Fixed points and strong convergence for linear subspaces
arXiv (Cornell University)·2025Open Access
On Opial's Lemma
arXiv (Cornell University)·2025Open Access
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
arXiv (Cornell University)·2024Open Access
On a Result by Baillon, Bruck, and Reich
Vietnam Journal of Mathematics·2024
How to project onto the intersection of a closed affine subspace and a hyperplane
Mathematical Methods of Operations Research·2024
On a result by Baillon, Bruck, and Reich
arXiv (Cornell University)·2024Open Access
How Averaged is the Composition of Two Linear Projections?
Numerical Functional Analysis and Optimization·2023· 1 cited
The Homogenization Cone: Polar Cone and Projection
Set-Valued and Variational Analysis·2023· 2 cited
On the Bredies-Chenchene-Lorenz-Naldi algorithm
arXiv (Cornell University)·2023Open Access
The Splitting Algorithms by Ryu, by Malitsky–Tam, and by Campoy Applied to Normal Cones of Linear Subspaces Converge Strongly to the Projection onto the Intersection
SIAM Journal on Optimization·2023· 6 cited
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Frequent Co-authors

Patrick L. Combettes(15), Jonathan M. Borwein(12), Xianfu Wang(12), D. Lüke(6), Hung M. Phan(5), Dominikus Noll(4), Simeon Reich(3), Adrian S. Lewis(3), Yves Lucet(2), Yunier Bello-Cruz(2), T. T. A. Nghia(2), Hristo S. Sendov(2), Walaa M. Moursi(2), Jérôme Bolte(1), Marc Teboulle(1), Eva Matoušková(1), Wu Li(1), Rafal Goebel(1), Osman Güler(1), Valentin Koch(1)