Panos M. Pardalos and Henry Wolkowicz's Books

Topics in Semidefinite and Interior-Point Methods

By: Panos M. Pardalos and Henry Wolkowicz

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Topics in Semidefinite and Interior-Point Methods

By: Panos M. Pardalos and Henry Wolkowicz

This volume presents refereed papers presented at the workshop Semidefinite Programming and Interior-Point Approaches for Combinatorial Problems: held at The Fields Institute in May 1996. Semidefinite programming (SDP) is a generalization of linear programming (LP) in that the non-negativity constraints on the variables is replaced by a positive semidefinite constraint on matrix variables. Many of the elegant theoretical properties and powerful solution techniques follow through from LP to SDP. In particular, the primal-dual interior-point methods, which are currently so successful for LP, can be used to efficiently solve SDP problems. In addition to the theoretical and algorithmic questions, SDP has found many important applications in combinatorial optimization, control theory and other areas of mathematical programming. The papers in this volume cover a wide spectrum of recent developments in SDP. The volume would be suitable as a textbook for advanced courses in optimization. It is intended for graduate students and researchers in mathematics, computer science, engineering and operations.

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Page Count

276

Publisher

American Mathematical Soc.

ISBN 10

0821871250

ISBN 13

9780821871256

Novel Approaches to Hard Discrete Optimization

By: Panos M. Pardalos,Henry Wolkowicz

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Novel Approaches to Hard Discrete Optimization

By: Panos M. Pardalos,Henry Wolkowicz

During the last decade, many novel approaches have been considered for dealing with computationally difficult discrete optimization problems. Such approaches include interior point methods, semidefinite programming techniques, and global optimization. More efficient computational algorithms have been developed and larger problem instances of hard discrete problems have been solved. This progress is due in part to these novel approaches, but also to new computing facilities and massive parallelism. This volume contains the papers presented at the workshop on ``Novel Approaches to Hard Discrete Optimization''. The articles cover a spectrum of issues regarding computationally hard discrete problems.

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194

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821832484

ISBN 13

9780821832486

Parallel Processing of Discrete Optimization Problems

DIMACS Workshop, April 28-29, 1994

By: Panos M. Pardalos

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Parallel Processing of Discrete Optimization Problems

DIMACS Workshop, April 28-29, 1994

By: Panos M. Pardalos

This book contains papers presented at the Workshop on Parallel Processing of Discrete Optimization Problems held at DIMACS in April 1994. The contents cover a wide spectrum of the most recent algorithms and applications in parallel processing of discrete optimization and related problems. Topics include parallel branch and bound algorithms, scalability, load balancing, parallelism and irregular data structures and scheduling task graphs on parallel machines. Applications include parallel algorithms for solving satisfiability problems, location problems, linear programming, quadratic and linear assignment problems. This book would be suitable as a textbook in advanced courses on parallel algorithms and combinatorial optimization.

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Page Count

390

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821802402

ISBN 13

9780821802403

Randomization Methods in Algorithm Design

DIMACS Workshop, December 12-14, 1997

By: Panos M. Pardalos,Sanguthevar Rajasekaran

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Randomization Methods in Algorithm Design

DIMACS Workshop, December 12-14, 1997

By: Panos M. Pardalos,Sanguthevar Rajasekaran

This volume is based on proceedings held during the DIMACS workshop on Randomization Methods in Algorithm Design in December 1997 at Princeton. The workshop was part of the DIMACS Special Year on Discrete Probability. It served as an interdisciplinary research workshop that brought together a mix of leading theorists, algorithmists and practitioners working in the theory and implementation aspects of algorithms involving randomization. Randomization has played an important role in the design of both sequential and parallel algorithms. The last decade has witnessed tremendous growth in the area of randomized algorithms. During this period, randomized algorithms went from being a tool in computational number theory to finding widespread applications in many problem domains. Major topics covered include randomization techniques for linear and integer programming problems, randomization in the design of approximate algorithms for combinatorial problems, randomization in parallel and distributed algorithms, practical implementation of randomized algorithms, de-randomization issues, and pseudo-random generators. This volume focuses on theory and implementation aspects of algorithms involving randomization. It would be suitable as a graduate or advanced graduate text.

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Page Count

335

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809164

ISBN 13

9780821809167

Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding

Molecular Conformation and Protein Folding : DIMACS Workshop, March 20-21, 1995

By: Panos M. Pardalos

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Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding

Molecular Conformation and Protein Folding : DIMACS Workshop, March 20-21, 1995

By: Panos M. Pardalos

This work contains refereed papers presented at an interdisciplinary scientific meeting attended by a mix of leading biochemists and computer scientists held at DIMACS in March 1995. It describes the development of a variety of new methods which are being developed for attacking the important problem of molecular structure. It is intended for graduate students and researchers in numerical analysis, molecular biology, biochemistry, computer science, engineering, and operations.

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Page Count

287

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821804715

ISBN 13

9780821804711

Handbook of Combinatorial Optimization

By: Ding-Zhu Du,Panos M. Pardalos

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Handbook of Combinatorial Optimization

By: Ding-Zhu Du,Panos M. Pardalos

Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

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2410

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461303036

ISBN 13

9781461303039

Topics in Semidefinite and Interior-Point Methods

By: Panos M. Pardalos,Henry Wolkowicz

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Topics in Semidefinite and Interior-Point Methods

By: Panos M. Pardalos,Henry Wolkowicz

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Page Count

272

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808257

ISBN 13

9780821808252

Novel Approaches to Hard Discrete Optimization

By: Panos M. Pardalos,Henry Wolkowicz

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Novel Approaches to Hard Discrete Optimization

By: Panos M. Pardalos,Henry Wolkowicz

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Solve jigsaw puzzle

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Page Count

194

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821832484

ISBN 13

9780821832486

Book's by Panos M. Pardalos and Henry Wolkowicz

Topics in Semidefinite and Interior-Point Methods

Topics in Semidefinite and Interior-Point Methods

Novel Approaches to Hard Discrete Optimization

Novel Approaches to Hard Discrete Optimization

Parallel Processing of Discrete Optimization Problems

Parallel Processing of Discrete Optimization Problems

Randomization Methods in Algorithm Design

Randomization Methods in Algorithm Design

Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding

Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding

Handbook of Combinatorial Optimization

Handbook of Combinatorial Optimization

Topics in Semidefinite and Interior-Point Methods

Topics in Semidefinite and Interior-Point Methods

Novel Approaches to Hard Discrete Optimization

Novel Approaches to Hard Discrete Optimization

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