Cones Matrices And Mathematical Programming

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Cones, Matrices and Mathematical Programming

Author : Abraham Berman
Publisher : Springer Science & Business Media
ISBN 13 : 3642807305
Total Pages : 103 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Cones, Matrices and Mathematical Programming by : Abraham Berman

Download or read book Cones, Matrices and Mathematical Programming written by Abraham Berman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mathematical programming and the third to matrix theory. The second and third chapters are independent. Natural links between them, such as mathematical programming over matrix cones, are only mentioned in passing. The choice of applications described in this paper is a reflection of my p«r9onal interests, for examples, the complementarity problem and iterative methods for singular systems. The paper definitely does not contain all the applications which fit its title. The same remark holds for the list of references. Proofs are omitted or sketched briefly unless they are very simple. However, I have tried to include proofs of results which are not widely available, e.g. results in preprints or reports, and proofs, based on the theory of cones, of classical theorems. This monograph benefited from helpful discussions with professors Abrams, Barker, Cottle, Fan, Plemmons, Schneider, Taussky and Varga.

Cones, matrices and mathematical programming

Author : A. Berman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (464 download)

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Book Synopsis Cones, matrices and mathematical programming by : A. Berman

Download or read book Cones, matrices and mathematical programming written by A. Berman and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonnegative Matrices in the Mathematical Sciences

Author : Abraham Berman
Publisher : Academic Press
ISBN 13 : 1483260860
Total Pages : 337 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonnegative Matrices in the Mathematical Sciences by : Abraham Berman

Download or read book Nonnegative Matrices in the Mathematical Sciences written by Abraham Berman and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.

Mathematical Programming for Power Systems Operation

Author : Alejandro Garcés
Publisher : John Wiley & Sons
ISBN 13 : 1119747287
Total Pages : 293 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Mathematical Programming for Power Systems Operation by : Alejandro Garcés

Download or read book Mathematical Programming for Power Systems Operation written by Alejandro Garcés and published by John Wiley & Sons. This book was released on 2021-12-01 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the theoretical foundations and real-world power system applications of convex programming In Mathematical Programming for Power System Operation with Applications in Python, Professor Alejandro Garces delivers a comprehensive overview of power system operations models with a focus on convex optimization models and their implementation in Python. Divided into two parts, the book begins with a theoretical analysis of convex optimization models before moving on to related applications in power systems operations. The author eschews concepts of topology and functional analysis found in more mathematically oriented books in favor of a more natural approach. Using this perspective, he presents recent applications of convex optimization in power system operations problems. Mathematical Programming for Power System Operation with Applications in Python uses Python and CVXPY as tools to solve power system optimization problems and includes models that can be solved with the presented framework. The book also includes: A thorough introduction to power system operation, including economic and environmental dispatch, optimal power flow, and hosting capacity Comprehensive explorations of the mathematical background of power system operation, including quadratic forms and norms and the basic theory of optimization Practical discussions of convex functions and convex sets, including affine and linear spaces, politopes, balls, and ellipsoids In-depth examinations of convex optimization, including global optimums, and first and second order conditions Perfect for undergraduate students with some knowledge in power systems analysis, generation, or distribution, Mathematical Programming for Power System Operation with Applications in Python is also an ideal resource for graduate students and engineers practicing in the area of power system optimization.

Completely Positive Matrices

Author : Abraham Berman
Publisher : World Scientific
ISBN 13 : 9789812795212
Total Pages : 222 pages
Book Rating : 4.7/5 (952 download)

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Book Synopsis Completely Positive Matrices by : Abraham Berman

Download or read book Completely Positive Matrices written by Abraham Berman and published by World Scientific. This book was released on 2003 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A real matrix is positive semidefinite if it can be decomposed as A = BBOC . In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A = BBOC is known as the cp- rank of A . This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp- rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined. Contents: Preliminaries: Matrix Theoretic Background; Positive Semidefinite Matrices; Nonnegative Matrices and M -Matrices; Schur Complements; Graphs; Convex Cones; The PSD Completion Problem; Complete Positivity: Definition and Basic Properties; Cones of Completely Positive Matrices; Small Matrices; Complete Positivity and the Comparison Matrix; Completely Positive Graphs; Completely Positive Matrices Whose Graphs are Not Completely Positive; Square Factorizations; Functions of Completely Positive Matrices; The CP Completion Problem; CP Rank: Definition and Basic Results; Completely Positive Matrices of a Given Rank; Completely Positive Matrices of a Given Order; When is the CP-Rank Equal to the Rank?. Readership: Upper level undergraduates, graduate students, academics and researchers interested in matrix theory."

Handbook of Linear Algebra

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1420010573
Total Pages : 1402 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Linear Algebra by : Leslie Hogben

Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Handbook of Linear Algebra, Second Edition

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra, Second Edition by : Leslie Hogben

Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Lectures on Modern Convex Optimization

Author : Aharon Ben-Tal
Publisher : SIAM
ISBN 13 : 0898714915
Total Pages : 500 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Lectures on Modern Convex Optimization by : Aharon Ben-Tal

Download or read book Lectures on Modern Convex Optimization written by Aharon Ben-Tal and published by SIAM. This book was released on 2001-01-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming. The book's focus on well-structured convex problems in conic form allows for unified theoretical and algorithmical treatment of a wide spectrum of important optimization problems arising in applications.

Mathematical Programming

Author : Melvyn Jeter
Publisher : Routledge
ISBN 13 : 1351433121
Total Pages : 364 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Mathematical Programming by : Melvyn Jeter

Download or read book Mathematical Programming written by Melvyn Jeter and published by Routledge. This book was released on 2018-05-03 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.

Approximation and Complexity in Numerical Optimization

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 1475731450
Total Pages : 597 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Approximation and Complexity in Numerical Optimization by : Panos M. Pardalos

Download or read book Approximation and Complexity in Numerical Optimization written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. In discrete (or combinatorial) optimization many approaches have been developed recently that link the discrete universe to the continuous universe through geomet ric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. As a result new ap proximate algorithms have been discovered and many new computational approaches have been developed. Similarly, for many continuous nonconvex optimization prob lems, new approximate algorithms have been developed based on semidefinite pro gramming and new randomization techniques. On the other hand, computational complexity, originating from the interactions between computer science and numeri cal optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty. The main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are likely to be tractable. The quest for developing efficient algorithms leads also to elegant general approaches for solving optimization problems, and reveals surprising connections among problems and their solutions. A conference on Approximation and Complexity in Numerical Optimization: Con tinuous and Discrete Problems was held during February 28 to March 2, 1999 at the Center for Applied Optimization of the University of Florida.

Introduction to the Theory of Nonlinear Optimization

Author : Johannes Jahn
Publisher : Springer Science & Business Media
ISBN 13 : 3662032716
Total Pages : 260 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Introduction to the Theory of Nonlinear Optimization by : Johannes Jahn

Download or read book Introduction to the Theory of Nonlinear Optimization written by Johannes Jahn and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.

Some Applications of Structure in Matrix and Mathematical Programming Computation

Author : Jennifer Joan Edwards
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis Some Applications of Structure in Matrix and Mathematical Programming Computation by : Jennifer Joan Edwards

Download or read book Some Applications of Structure in Matrix and Mathematical Programming Computation written by Jennifer Joan Edwards and published by . This book was released on 1991 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Methods in Complementarity Theory

Author : G. Isac
Publisher : Springer Science & Business Media
ISBN 13 : 1475731418
Total Pages : 691 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Topological Methods in Complementarity Theory by : G. Isac

Download or read book Topological Methods in Complementarity Theory written by G. Isac and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods. Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.

Multidimensional Scaling

Author : Forrest W. Young
Publisher : Psychology Press
ISBN 13 : 1135059896
Total Pages : 318 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Multidimensional Scaling by : Forrest W. Young

Download or read book Multidimensional Scaling written by Forrest W. Young and published by Psychology Press. This book was released on 2013-05-13 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding presentation of the fundamentals of multidimensional scaling illustrates the applicability of MDS to a wide variety of disciplines. The first two sections provide ground work in the history and theory of MDS. The final section applies MDS techniques to such diverse fields as physics, marketing, and political science.

Recent Developments in Mathematical Programming

Author : Santosh Kumar
Publisher : CRC Press
ISBN 13 : 1000657620
Total Pages : 470 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Recent Developments in Mathematical Programming by : Santosh Kumar

Download or read book Recent Developments in Mathematical Programming written by Santosh Kumar and published by CRC Press. This book was released on 2022-01-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.

Handbook of Semidefinite Programming

Author : Henry Wolkowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461543819
Total Pages : 660 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Handbook of Semidefinite Programming by : Henry Wolkowicz

Download or read book Handbook of Semidefinite Programming written by Henry Wolkowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semidefinite programming (SDP) is one of the most exciting and active research areas in optimization. It has and continues to attract researchers with very diverse backgrounds, including experts in convex programming, linear algebra, numerical optimization, combinatorial optimization, control theory, and statistics. This tremendous research activity has been prompted by the discovery of important applications in combinatorial optimization and control theory, the development of efficient interior-point algorithms for solving SDP problems, and the depth and elegance of the underlying optimization theory. The Handbook of Semidefinite Programming offers an advanced and broad overview of the current state of the field. It contains nineteen chapters written by the leading experts on the subject. The chapters are organized in three parts: Theory, Algorithms, and Applications and Extensions.

Mathematical Optimization Terminology

Author : Andre A. Keller
Publisher : Academic Press
ISBN 13 : 0128052953
Total Pages : 341 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Mathematical Optimization Terminology by : Andre A. Keller

Download or read book Mathematical Optimization Terminology written by Andre A. Keller and published by Academic Press. This book was released on 2017-11-10 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques. Discusses real-world applications of optimization and how it can be used in algorithms Explains the essential formulations of optimization in mathematics Covers a more practical approach to optimization