4 edition of **Nondifferentiable optimization and polynomial problems** found in the catalog.

- 390 Want to read
- 39 Currently reading

Published
**1998**
by Kluwer in Boston
.

Written in English

- Mathematical optimization.,
- Nondifferentiable functions.,
- Polynomials.,
- Extremal problems (Mathematics),
- Nonlinear programming.

**Edition Notes**

Includes bibliographical references (p. 335-394).

Statement | by Naum Z. Shor. |

Series | Nonconvex optimization and its applications ;, v. 24 |

Classifications | |
---|---|

LC Classifications | QA402.5 .S437 1998 |

The Physical Object | |

Pagination | xvii, 394 p. ; |

Number of Pages | 394 |

ID Numbers | |

Open Library | OL346046M |

ISBN 10 | 0792349970 |

LC Control Number | 98005088 |

Here is a set of practice problems to accompany the Polynomials section of the Preliminaries chapter of the notes for Paul Dawkins Algebra course at Lamar University. Paul's Online Notes Practice Quick Nav Download. Global optimization concerns the computation and characterization of global optima of nonlinear functions. Such problems are widespread in the mathematical modelling of real systems in a very wide range of applications and the last 30 years have seen the development of many new theoretical, algorithmic and computational contributions which have helped to solve globally multiextreme problems .

This book presents recent developments of key topics in nonlinear programming (NLP) using a logical and self-contained format. The volume is divided into three sections: convex analysis, optimality. A range-free localization problem is a generalization of unit disk graph coordinates realization problem and in essence a feasibility problem with quadratic inequalities, which is NP- hard. In this paper, we formulate the range-free localization problem as a nondifferentiable optimization problem solved by a polynomial-time algorithm.

Horst, P.M. Pardalos and N.V. Thoai March Preface to the First Edition Many recent advances in science, economics and engineering rely on nu merical techniques for computing globally optimal solutions to corresponding optimization problems. Global optimization problems are extraordinarily di verse and they include economic modeling, fixed. Here is a set of practice problems to accompany the Factoring Polynomials section of the Preliminaries chapter of the notes for Paul Dawkins Algebra course at Lamar University.

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Shor: : Books. About this book. Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables.

Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial P.

Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial Edition: Ed.

The book is devoted to investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming.

It is shown that the methods of nondifferentiable optimization can be used for finding solutions of many classes of polynomial problems and for obtaining good dual estimates for optimal objective value in these problems.

Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is. Nondifferentiable Optimization And Polynomial Problems. These are the books for those you who looking for to read the Nondifferentiable Optimization And Polynomial Problems, try to read or download Pdf/ePub books and some of authors may have disable the live the book if it available for your country and user who already subscribe will have full access all free books from the.

Vl Nondifferentiable optimization and polynomial problems 4 ELEMENTS OF INFORMATION AND NUMERICAL COMPLEXITY OF POLYNOMIAL EXTREMAL PROBLEMS Introduction to the complexity theory of optimization prob- lems Polynomial-time algorithms for linear programming Interior point algorithms for linear programming and special convex programming problems Elements of Information and Numerical Complexity of Polynomial Extremal Problems.

Decomposition Methods Based on Nonsmooth Optimization. as a rule prove to be problems of nondifferentiable. Moreover, our method has a polynomial worst case complexity of O(n ln 1/ε) on the total number of cuts to be used, where n is the number of convex quadratic polynomial inequalities in the problem.

'This monograph may be considered as a comprehensive introduction to solving global optimization problems described by polynomials and even semi-algebraic functions. The book is accompanied by a MATLAB® freeware software that implements the described methodology.

Cite this chapter as: Shor N.Z. () Subgradient and ε-Subgradient : Nondifferentiable Optimization and Polynomial Problems. Nonconvex Optimization and Its Applications, vol Request PDF | Polynomial Optimization | Polynomial optimization is concerned with optimization problems described by multivariate polynomials on \\(\\mathbb{R}_{+}^{n}.\\) In this chapter.

Polynomial optimization problems have been widely Quadratic extremal problems and nondifferentiable optimization, Naukova Dumka, Kiev. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints.

New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more The book is a solid reference for. Shor N.Z. () Elements of Information and Numerical Complexity of Polynomial Extremal Problems.

In: Nondifferentiable Optimization and Polynomial Problems. Nonconvex Optimization and Its Applications, vol Computational complexity, originated from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are.

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Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 24) Abstract Decomposition methods are used for solving large-scale linear and convex programming problems in order to save time by reducing the number of references to the external memory of a computer.Network optimization is important in the modeling of problems and processes from such fields as engineering, computer science, operations research, transportation, telecommunication, decision support systems, manufacturing, and airline scheduling.

Recent advances in data structures, computer technology, and algorithm development have made it possible to solve classes of network optimization.Shor, Nondifferentiable Optimization and Polynomial Problems, Nonconve x Opti - mization an d it s Applications, Volum e Kluwe r Academi c Publishers, Dordrecht,