Semi-Infinite Programming: Recent AdvancesMiguel Ángel Goberna, Marco A. López Springer Science & Business Media, 2001. gada 31. okt. - 386 lappuses Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields. The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems. Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering. |
No grāmatas satura
1.–5. rezultāts no 81.
vii. lappuse
... linear programming and the moment problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an infinity into semi - infinite programming A classification of duality states based on asymptotic consis- tency ...
... linear programming and the moment problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an infinity into semi - infinite programming A classification of duality states based on asymptotic consis- tency ...
viii. lappuse
... PROGRAMMING Abdelhak Hassouni and Werner Oettli 123456 Introduction 59 The linear case 60 3 The convex case 61 4 Convex approximants 66 6 The exchange method for semi - infinite convex minimization Normal cones and complementary sets 68 ...
... PROGRAMMING Abdelhak Hassouni and Werner Oettli 123456 Introduction 59 The linear case 60 3 The convex case 61 4 Convex approximants 66 6 The exchange method for semi - infinite convex minimization Normal cones and complementary sets 68 ...
ix. lappuse
... LINEAR PROBLEMS 12 3 4 5 Alexander Shapiro Introduction Conic linear problems Problem of moments Semi - infinite programming Continuous linear programming References 135 136 145 152 155 164 Part III NUMERICAL METHODS 8 TWO LOGARITHMIC ...
... LINEAR PROBLEMS 12 3 4 5 Alexander Shapiro Introduction Conic linear problems Problem of moments Semi - infinite programming Continuous linear programming References 135 136 145 152 155 164 Part III NUMERICAL METHODS 8 TWO LOGARITHMIC ...
x. lappuse
... LINEAR SEMI- 255 INFINITE PROGRAMMING APPROACH Miguel A. Goberna , Marco A. López and Soon - Yi Wu 1 Introduction 255 2 Separation in normed spaces 257 3 4 Strong separation of compact sets in separable normed spaces 262 Strong ...
... LINEAR SEMI- 255 INFINITE PROGRAMMING APPROACH Miguel A. Goberna , Marco A. López and Soon - Yi Wu 1 Introduction 255 2 Separation in normed spaces 257 3 4 Strong separation of compact sets in separable normed spaces 262 Strong ...
xi. lappuse
... LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta Vercher 12 Introduction 327 Fuzzy sets 329 3 Convex programming with set - inclusive constraints 331 4 Fuzzy mathematical programming 337 5 Linear semi ...
... LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta Vercher 12 Introduction 327 Fuzzy sets 329 3 Convex programming with set - inclusive constraints 331 4 Fuzzy mathematical programming 337 5 Linear semi ...
Saturs
References | 34 |
ABOUT DISJUNCTIVE OPTIMIZATION | 57 |
6 | 67 |
ERROR BOUNDS FOR SEMIINFINITE SYSTEMS | 75 |
9 | 79 |
21 | 85 |
References | 95 |
Introduction | 101 |
5678 | 211 |
7 | 216 |
ON SOME APPLICATIONS OF LSIP TO PROBABILITY | 237 |
References | 254 |
ON STABILITY OF GUARANTEED ESTIMATION | 299 |
15 | 325 |
16 | 347 |
219 | 348 |
6 | 120 |
ON DUALITY THEORY OF CONIC LINEAR PROBLEMS | 135 |
ANALYTIC | 179 |
PROBLEMS WITH A MAXIMUM EIGENVALUE | 197 |
4 | 355 |
THE OWEN SET AND THE CORE OF SEMIINFINITE | 365 |
Citi izdevumi - Skatīt visu
Semi-Infinite Programming: Recent Advances Miguel Ángel Goberna,Marco A. López Ierobežota priekšskatīšana - 2013 |
Semi-Infinite Programming: Recent Advances Miguel ngel Goberna,Marco A. L pez Priekšskatījums nav pieejams - 2001 |
Bieži izmantoti vārdi un frāzes
Algorithm 5.1 Applications assume assumption Banach space compact compact set compute cone consider constraint qualification convergence Convex Analysis convex functions convex programming convex set defined denote DLPT dual problem duality equivalent estimation example exists extreme point feasible set feasible solution finite number ft(x fuzzy numbers fuzzy sets given global error bound Hence holds hyperplane infinite iteration K. O. Kortanek Lemma linear inequality system linear programming linear semi-infinite programming lower semicontinuous LSIP LTP situations Mathematical Programming matrix measure membership function method minimizer moment problem nonempty obtain optimal solution optimal value optimization problem parameter primal Proof Proposition result satisfied Section semi-infinite optimization semi-infinite programming problems sequence solution set solving Step strong Slater condition subset sup-function Theorem 3.1 theory topology trajectory val(CLP val(D val(P vector weak PLV property