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An introduction to polynomial and semi-algebraic optimization / Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France.

By: Lasserre, Jean-Bernard, 1953- [author.].
Material type: TextTextSeries: Cambridge texts in applied mathematics.Publisher: Cambridge : Cambridge University Press, 2015Description: xiv, 339 pages : UKP 36.99 illustrations ; 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781107060579 (hardback); 1107060575 (hardback); 9781107630697 (paperback); 110763069X (paperback).Subject(s): Polynomials | Mathematical optimization | MATHEMATICS / Mathematical AnalysisDDC classification: 512.9/422 Other classification: MAT034000
Contents:
Machine generated contents note: List of symbols; 1. Introduction and messages of the book; Part I. Positive Polynomials and Moment Problems: 2. Positive polynomials and moment problems; 3. Another look at nonnegativity; 4. The cone of polynomials nonnegative on K; Part II. Polynomial and Semi-Algebraic Optimization: 5. The primal and dual points of view; 6. Semidefinite relaxations for polynomial optimization; 7. Global optimality certificates; 8. Exploiting sparsity or symmetry; 9. LP-relaxations for polynomial optimization; 10. Minimization of rational functions; 11. Semidefinite relaxations for semi-algebraic optimization; 12. An eigenvalue problem; Part III. Specializations and Extensions: 13. Convexity in polynomial optimization; 14. Parametric optimization; 15. Convex underestimators of polynomials; 16. Inverse polynomial optimization; 17. Approximation of sets defined with quantifiers; 18. Level sets and a generalization of the Lowner-John's problem; Appendix A. Semidefinite programming; Appendix B. The GloptiPoly software; Bibliography; Index.
List(s) this item appears in: 2018-10-08
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		512.942 LAS (Browse shelf) Available 10476
Total holds: 0

Includes bibliographical references and index.

Machine generated contents note: List of symbols; 1. Introduction and messages of the book; Part I. Positive Polynomials and Moment Problems: 2. Positive polynomials and moment problems; 3. Another look at nonnegativity; 4. The cone of polynomials nonnegative on K; Part II. Polynomial and Semi-Algebraic Optimization: 5. The primal and dual points of view; 6. Semidefinite relaxations for polynomial optimization; 7. Global optimality certificates; 8. Exploiting sparsity or symmetry; 9. LP-relaxations for polynomial optimization; 10. Minimization of rational functions; 11. Semidefinite relaxations for semi-algebraic optimization; 12. An eigenvalue problem; Part III. Specializations and Extensions: 13. Convexity in polynomial optimization; 14. Parametric optimization; 15. Convex underestimators of polynomials; 16. Inverse polynomial optimization; 17. Approximation of sets defined with quantifiers; 18. Level sets and a generalization of the Lowner-John's problem; Appendix A. Semidefinite programming; Appendix B. The GloptiPoly software; Bibliography; Index.