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 67.
vii. lappuse
... Introduction : Origins of a theory Generalized 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 ...
... Introduction : Origins of a theory Generalized 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 ...
viii. lappuse
... 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 71 References 74 4 ASYMPTOTIC CONSTRAINT ...
... 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 71 References 74 4 ASYMPTOTIC CONSTRAINT ...
ix. lappuse
... 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 BARRIER METHODS FOR CON- 169 VEX SEMI ...
... 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 BARRIER METHODS FOR CON- 169 VEX SEMI ...
x. lappuse
... Introduction 221 2 Analytic Center Based Cuts 223 3 Analytic Center Cutting Plane Method for LSIP 224 4 Convergence and Complexity 230 References 233 De Finetti coherence Part IV MODELING AND APPLICATIONS 11 ON SOME APPLICATIONS OF LSIP ...
... Introduction 221 2 Analytic Center Based Cuts 223 3 Analytic Center Cutting Plane Method for LSIP 224 4 Convergence and Complexity 230 References 233 De Finetti coherence Part IV MODELING AND APPLICATIONS 11 ON SOME APPLICATIONS OF LSIP ...
xi. lappuse
... Introduction 299 Rate of convergence of information domains for problems with normally resolvable operator 303 3 Optimal placement of sensors for nonstationary system : Du- ality theorems 310 4 Optimal sensor placement : the stationary ...
... Introduction 299 Rate of convergence of information domains for problems with normally resolvable operator 303 3 Optimal placement of sensors for nonstationary system : Du- ality theorems 310 4 Optimal sensor placement : the stationary ...
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