Semi-Infinite Programming: Recent AdvancesMiguel Ángel Goberna, Marco A. López Springer Science & Business Media, 2013. gada 11. nov. - 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 80.
vii. lappuse
... problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an infinity into semi ... OPTIMIZATION Ivan I. Eremin 47 9 10 21 25 26 31 33 34 2 45 1 Introduction 2 3 Saddle points of disjunctive Lagrangian Duality ...
... problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an infinity into semi ... OPTIMIZATION Ivan I. Eremin 47 9 10 21 25 26 31 33 34 2 45 1 Introduction 2 3 Saddle points of disjunctive Lagrangian Duality ...
viii. lappuse
... PROBLEMS IN GENERAL- IZED SEMI - INFINITE OPTIMIZATION 121 Jan - J . Rückmann and Oliver Stein 1 Introduction .2 The local topology of M 3 4 5 A local first order description of M First order optimality conditions Final remarks ...
... PROBLEMS IN GENERAL- IZED SEMI - INFINITE OPTIMIZATION 121 Jan - J . Rückmann and Oliver Stein 1 Introduction .2 The local topology of M 3 4 5 A local first order description of M First order optimality conditions Final remarks ...
ix. lappuse
... PROBLEMS Alexander Shapiro 1 Introduction 2 Conic linear problems 3 Problem of moments 4 Semi - infinite programming ... OPTIMIZATION PROBLEMS WITH A MAXIMUM EIGENVALUE / SINGULAR VALUE COST AND OR CONSTRAINTS Elijah Polak 197 123 4 ...
... PROBLEMS Alexander Shapiro 1 Introduction 2 Conic linear problems 3 Problem of moments 4 Semi - infinite programming ... OPTIMIZATION PROBLEMS WITH A MAXIMUM EIGENVALUE / SINGULAR VALUE COST AND OR CONSTRAINTS Elijah Polak 197 123 4 ...
x. lappuse
... OPTIMIZATION APPROACH TO OPTI- MAL SPLINE TRAJECTORY PLANNING OF MECHANI- CAL MANIPULATORS 271 Corrado Guarino Lo ... Problem solution using an hybrid algorithm 281 Penalty computation via interval analysis 284 An Example 290 Conclusions 293 ...
... OPTIMIZATION APPROACH TO OPTI- MAL SPLINE TRAJECTORY PLANNING OF MECHANI- CAL MANIPULATORS 271 Corrado Guarino Lo ... Problem solution using an hybrid algorithm 281 Penalty computation via interval analysis 284 An Example 290 Conclusions 293 ...
xi. lappuse
... PROBLEMS : ERROR BOUNDS FOR INFORMATION DOMAINS AND EXPERIMENTAL DESIGN Mikhail I. Gusev and Sergei A. Romanov 12 ... OPTIMIZATION UNDER UNCERTAINTY AND LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta ...
... PROBLEMS : ERROR BOUNDS FOR INFORMATION DOMAINS AND EXPERIMENTAL DESIGN Mikhail I. Gusev and Sergei A. Romanov 12 ... OPTIMIZATION UNDER UNCERTAINTY AND LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta ...
Saturs
ON STABILITY OF GUARANTEED ESTIMATION | 14 |
References | 34 |
75 | 40 |
2 | 45 |
ASYMPTOTIC CONSTRAINT QUALIFICATIONS | 75 |
VEX SEMIINFINITE PROGRAMMING | 101 |
6 | 120 |
Alexander Shapiro | 135 |
8 | 217 |
ANALYTIC | 221 |
ON SOME APPLICATIONS OF LSIP TO PROBABILITY | 235 |
References | 254 |
References | 269 |
15 | 325 |
Numerical Results | 345 |
207 | 348 |
Citi izdevumi - Skatīt visu
Semi-Infinite Programming: Recent Advances Miguel Ángel Goberna,Marco A. López Ierobežota priekšskatīšana - 2001 |
Semi-Infinite Programming: Recent Advances Miguel ngel Goberna,Marco A. L pez Priekšskatījums nav pieejams - 2001 |
Bieži izmantoti vārdi un frāzes
algorithm Applications Assume assumption asymptotic Banach space Charnes compact sets computation cone consider constraint qualification convergence Convex Analysis convex functions convex inequality convex programming convex set cutting plane defined denote dual problem duality theory equivalent example exists feasible set feasible solution finite number ft(x fuzzy numbers fuzzy sets given global error bound Hence holds hyperplane implies infinite interval iteration K. O. Kortanek Lemma linear programming linear semi-infinite programming lower semicontinuous LSIP Mathematical Programming method minimizer moment problem nonempty norm obtain Operations Research optimal solution optimization problem parameter previsions primal problem of moments Proof Proposition result satisfied Section semi-infinite optimization semi-infinite programming problems sequence solution set solving Step sup-function t₁ Theorem 3.1 topology val(CLP val(D val(P vector weak PLV property αΕΩ ΘΕΩ