What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Algebra
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.
His most cited work include:
- Convex Analysis and Monotone Operator Theory in Hilbert Spaces (2553 citations)
- On Projection Algorithms for Solving Convex Feasibility Problems (1413 citations)
- Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. (428 citations)
What are the main themes of his work throughout his whole career to date?
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
- Convex analysis that connect with fields like Mathematical optimization,
- Convex set that intertwine with fields like Convex hull and Projection.
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.
He most often published in these fields:
- Pure mathematics (38.55%)
- Monotone polygon (32.44%)
- Regular polygon (32.06%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (38.55%)
- Regular polygon (32.06%)
- Monotone polygon (32.44%)
In recent papers he was focusing on the following fields of study:
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
- Lipschitz continuity that connect with fields like Lemma,
- Mathematical optimization that intertwine with fields like Convex optimization,
- Convex set that intertwine with fields like Projection.
Between 2015 and 2021, his most popular works were:
- A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications (157 citations)
- On the Douglas---Rachford algorithm (52 citations)
- Optimal Rates of Linear Convergence of Relaxed Alternating Projections and Generalized Douglas-Rachford Methods for Two Subspaces (38 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Algebra
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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