2015 - SIAM Fellow For contributions to convex optimization and matrix theory.
Algorithm and Upper and lower bounds are two areas of study in which Henry Wolkowicz engages in interdisciplinary work. Borrowing concepts from Pure mathematics, Henry Wolkowicz weaves in ideas under Geometry. Pure mathematics and Geometry are two areas of study in which he engages in interdisciplinary research. Henry Wolkowicz merges many fields, such as Conic optimization and Second-order cone programming, in his writings. Henry Wolkowicz performs multidisciplinary study on Second-order cone programming and Conic optimization in his works. His research on Regular polygon often connects related areas such as Convex body. In his articles, he combines various disciplines, including Convex body and Convex set. Henry Wolkowicz performs integrative Convex set and Dual cone and polar cone research in his work. Henry Wolkowicz integrates several fields in his works, including Dual cone and polar cone and Convex cone.
While the research belongs to areas of Theory of computation, Henry Wolkowicz spends his time largely on the problem of Algorithm, intersecting his research to questions surrounding Cone (formal languages) and Optimization problem. His work in the fields of Linear programming, such as Mathematical optimization, overlaps with other areas such as Applied mathematics. He connects Mathematical optimization with Linear programming in his study. Henry Wolkowicz integrates several fields in his works, including Applied mathematics and Algorithm. Henry Wolkowicz merges Geometry with Quadratic equation in his study. By researching both Quadratic equation and Geometry, Henry Wolkowicz produces research that crosses academic boundaries. His research ties Conic optimization and Regular polygon together. His Convex combination research extends to Conic optimization, which is thematically connected. He incorporates Convex combination and Convex cone in his research.
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Handbook of semidefinite programming : theory, algorithms, and applications
Henry Wolkowicz;Romesh Saigal;Lieven Vandenberghe.
(2000)
An Interior-Point Method for Semidefinite Programming
Christoph Helmberg;Franz Rendl;Robert J. Vanderbei;Henry Wolkowicz.
Siam Journal on Optimization (1996)
Handbook of Semidefinite Programming
Henry Wolkowicz;Romesh Saigal;Lieven Vandenberghe.
(2000)
Positive definite completions of partial Hermitian matrices
Robert Grone;Charles R. Johnson;Eduardo M. Sá;Henry Wolkowicz.
Linear Algebra and its Applications (1984)
Quadratic assignment and related problems : DIMACS workshop, May 20-21, 1993
P. M. Pardalos;Henry Wolkowicz.
(1994)
The Quadratic Assignment Problem: A Survey and Recent Developments.
Panos M. Pardalos;Franz Rendl;Henry Wolkowicz.
Quadratic Assignment and Related Problems (1993)
Semidefinite Programming Relaxations for the Quadratic Assignment Problem
Qing Zhao;Stefan E. Karisch;Franz Rendl;Henry Wolkowicz.
Journal of Combinatorial Optimization (1998)
Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming
Abdo Y. Alfakih;Amir Khandani;Henry Wolkowicz.
Computational Optimization and Applications (1999)
Bounds for eigenvalues using traces
Henry Wolkowicz;George P.H. Styan.
Linear Algebra and its Applications (1980)
A semidefinite framework for trust region subproblems with applications to large scale minimization
Franz Rendl;Henry Wolkowicz.
Mathematical Programming (1997)
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