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Nonlinear Programming : Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970 /

Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems. This compilation consists...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: Symposium on Nonlinear Programming Madison, Wis., University of Wisconsin--Madison. Mathematics Research Center
Otros Autores: Rosen, J. B. (Judah Ben), 1922-, Mangasarian, Olvi L., 1934-, Ritter, K. (Klaus), 1936-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Burlington : Academic Press/Elsevier Science, [2014], ©1970.
Colección:Publication ... of the Mathematics Research Center, the University of Wisconsin ; no. 25.
Temas:
Acceso en línea:Texto completo

MARC

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111 2 |a Symposium on Nonlinear Programming  |n (1st :  |d 1970 :  |c Madison, Wis.) 
245 1 0 |a Nonlinear Programming :  |b Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970 /  |c edited by J.B. Rosen, O.L. Mangasarian, K. Ritter. 
260 |a Burlington :  |b Academic Press/Elsevier Science,  |c [2014], ©1970. 
300 |a 1 online resource (503 pages) 
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490 1 |a Publication no. 25 of the Mathematics Research Center, The University of Wisconsin 
588 0 |a Print version record. 
505 0 |a Front Cover; Nonlinear Programming; Copyright Page; Table of Contents; Foreword; Preface; Chapter 1. A Method of Centers by Upper-Bounding Functions with Applications; ABSTRACT; Introduction; 1. The Method of Centers: A Summary with Modifications; 2. Method of Centers (General algorithm; 3. Method of Center by Upper-Bounding Functions; 4. Applications of the Method of Centers by Upper- BoundingFunctions; REFERENCES; Chapter 2. A New Algorithm for Unconstrained Optimization; ABSTRACT; 1. Introduction; 2. The Formula for Revising the Second DerivativeApproximation. 
505 8 |a 3. An Outline of the New Algorithm4. Theorems on the New Algorithm; Acknowledgements; REFERENCES; Chapter 3. A Class of Methods for Nonlinear ProgrammingII Computational Experience; ABSTRACT; Introduction; 2. A Basic Approach; 3. Algorithms based on Variable Metric methods; 4. Inequality Constraints; REFERENCES; Chapter 4. Some Algorithms Based on the Principle of Feasible Directions; ABSTRACT; 1. Introduction; 2. Direction generators; 3. Unconstrained Optimization; 4. Linearly Constrained Nonlinear Programming; 5. A partitioning method; REFERENCES. 
505 8 |a Chapter 5. Numerical Techniques in Mathematical ProgrammingABSTRACT; Introduction; A. THE USE OF LU DECOMPOSITION INEXCHANGE ALGORITHMS; B. THE QR DECOMPOSITION ANDQUADRATIC PROGRAMMING; C. THE SVD AND NONLINEAR LEASTSQUARES; REFERENCES; Chapter 6. A Superlinearly Convergent Method forUnconstrained Minimization; ABSTRACT; 1. Introduction; 2. Formulation of the problem, definitions and notation; 3. The algorithm; 4. Special convergence properties of the algorithm; REFERENCES; Chapter 7. A Second Order Method for the Linearly ConstrainedNonlinear Programming Problem; ABSTRACT; 1. Introduction. 
505 8 |a 2. The algorithm3. Convergence of the Algorithm; 4. Rate of Convergence of the Algorithm; 5. Discussion; REFERENCES; Chapter 8. Convergent Step-Sizes for Gradient-Like FeasibleDirection Algorithms for Constrained Optimization; ABSTRACT; 1. Introduction; 2. Gradient-like feasible direction algorithms; 3. General stepsize criteria; 4. Step sizes based on minimization; 5. Step sizes based on a range function; 6. Step sizes based on a search procedure; 7 Example of directions: variable metric gradientprojections; REFERENCES; Chapter 9. On the Implementation of Conceptual Algorithms; ABSTRACT. 
505 8 |a 1. Introduction2. Conceptual algorithms; 3. Adaptive Procedures for Implementation; 4. Open Loop Procedures for Implementation; 5. Conclusion; REFERENCES; Chapter 10. Some Convex Programs Whose DualsAre Linearly Constrained; ABSTRACT; 1. Introduction; 2. Dual problems; 3. The nature of problem(D1); 4. Examples; 5. Relationships between (P), (D)and (DI); REFERENCES; Chapter 11. Sufficiency Conditions and a Duality Theoryfor Mathematical Programming Problems in Arbitrary Linear Spaces; ABSTRACT; 1. Introduction; 2. Mathematical preliminaries and problem statement. 
500 |a 3. Necessary conditions and sufficient conditions. 
500 |a Nonlinear Programming. 
520 |a Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems. This compilation consists of 17 chapters. Chapters 1 to 9 are concerned primarily with computational algorithms, while Chapters 10 to 13 are devoted to theoretical aspects of nonlinear programming. Certain applications of nonlinear programming are considered in Chapters 14 to 17. The algorithms for nonlinear constrain. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Nonlinear programming  |v Congresses. 
650 6 |a Programmation non linéaire  |v Congrès. 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Nonlinear programming  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Rosen, J. B.  |q (Judah Ben),  |d 1922-  |1 https://id.oclc.org/worldcat/entity/E39PBJhmQJDDm36mc3cR8vtYfq 
700 1 |a Mangasarian, Olvi L.,  |d 1934-  |1 https://id.oclc.org/worldcat/entity/E39PBJdcwKFyy4gPRK9ptftBT3 
700 1 |a Ritter, K.  |q (Klaus),  |d 1936-  |1 https://id.oclc.org/worldcat/entity/E39PCjH3Fmc4bbXDrRWJhmqJDq 
710 2 |a University of Wisconsin--Madison.  |b Mathematics Research Center. 
776 0 8 |i Print version:  |a Rosen, J.B.  |t Nonlinear Programming : Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970.  |d Burlington : Elsevier Science, ©2014  |z 9780125970501 
830 0 |a Publication ... of the Mathematics Research Center, the University of Wisconsin ;  |v no. 25. 
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