Lasserre, Jean-Bernard <br/><br/>
An introduction to polynomial and semi-algebraic optimization  
Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathematiques, Toulouse, France 
 - xiv, 339 p.  ill. ;  24 cm 
 - Cambridge texts in applied mathematics .
<br/><br/> Bibliografie p. 324<br/>Index p. 327 
<br/><br/>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. 
<br/><br/><br/>eng 
<br/><br/><label>ISBN: </label>9781107060579 (hardback) 1107060575 (hardback) 9781107630697 (paperback) 110763069X (paperback) 
<br/><br/><label>LCCN: </label>2014031786 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Polynomials<br/>Mathematical optimization<br/>Mathematical Analysis
<br/><br/><label>LC Class. No.: </label>QA161.P59 
<br/><br/><label>Dewey Class. No.: </label>512.9422