His main research concerns Hilbert space, Regular polygon, Mathematical optimization, Subderivative and Combinatorics. He combines subjects such as Projection, Linear subspace, Von Neumann architecture and Monotone polygon with his study of Hilbert space. In his study, Projection is inextricably linked to Fixed point, which falls within the broad field of Regular polygon.
The study incorporates disciplines such as Bregman divergence, Convex function and Convex optimization in addition to Mathematical optimization. His study in Convex optimization is interdisciplinary in nature, drawing from both Fixed-point theorem, Variational analysis and Algorithm, Dykstra's projection algorithm. His Subderivative research includes elements of Convex analysis and Convex set.
Pure mathematics, Monotone polygon, Regular polygon, Hilbert space and Monotonic function are his primary areas of study. His Pure mathematics study combines topics from a wide range of disciplines, such as Positive-definite matrix, Convex function, Mathematical analysis and Subderivative. His Subderivative research also works with subjects such as
His Monotone polygon research focuses on Discrete mathematics and how it connects with Pseudo-monotone operator and Strongly monotone. His biological study spans a wide range of topics, including Fixed point, Linear subspace, Combinatorics, Euclidean geometry and Algorithm. His research integrates issues of Intersection, Generalization and Projection in his study of Hilbert space.
His primary scientific interests are in Pure mathematics, Regular polygon, Monotone polygon, Convex function and Algorithm. His work carried out in the field of Pure mathematics brings together such families of science as Fixed point, Monotonic function and Subderivative. His Regular polygon research is multidisciplinary, incorporating perspectives in Linear subspace, Projection, Hilbert space, Euclidean geometry and Projector.
The concepts of his Hilbert space study are interwoven with issues in Intersection and Projection. His studies in Monotone polygon integrate themes in fields like Zero, Class, Iterated function and Duality. His Convex function study also includes fields such as
His primary areas of investigation include Monotone polygon, Algorithm, Regular polygon, Pure mathematics and Convex function. His study in Monotone polygon is interdisciplinary in nature, drawing from both Fixed point, Numerical analysis and Sequence. His Regular polygon research is multidisciplinary, incorporating elements of Zero, Simple and Euclidean geometry.
Heinz H. Bauschke combines subjects such as Monotonic function and Subderivative with his study of Pure mathematics. His biological study spans a wide range of topics, including Bregman divergence, Convex conjugate, Convex set and Mathematical optimization. His work in Hilbert space is not limited to one particular discipline; it also encompasses Projection.
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Heinz H. Bauschke;Patrick L. Combettes.
(2011)
On Projection Algorithms for Solving Convex Feasibility Problems
Heinz H. Bauschke;Jonathan M. Borwein.
Siam Review (1996)
Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization.
Heinz H. Bauschke;Patrick L. Combettes;D. Russell Luke.
Journal of The Optical Society of America A-optics Image Science and Vision (2002)
The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space
Heinz H. Bauschke.
Journal of Mathematical Analysis and Applications (1996)
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces
Heinz H. Bauschke;Patrick L. Combettes.
Mathematics of Operations Research (2001)
Legendre functions and the method of random Bregman projections
Heinz H. Bauschke;Jonathan M. Borwein.
(1997)
On the convergence of von Neumann's alternating projection algorithm for two sets
Heinz H. Bauschke;Jonathan M. Borwein.
Set-valued Analysis (1993)
ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
Heinz H. Bauschke;Jonathan M. Borwein;Patrick L. Combettes.
Communications in Contemporary Mathematics (2001)
Bregman Monotone Optimization Algorithms
Heinz H. Bauschke;Jonathan M. Borwein;Patrick L. Combettes.
Siam Journal on Control and Optimization (2003)
Projection and proximal point methods: convergence results and counterexamples
Heinz H. Bauschke;Eva Matoušková;Simeon Reich.
Nonlinear Analysis-theory Methods & Applications (2004)
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