Band 124
Optimization
Algorithms and Consistent Approximations
Fr. 393.00
inkl. gesetzl. MwSt.Beschreibung
Details
Einband
Gebundene Ausgabe
Erscheinungsdatum
20.06.1997
Herausgeber
Elijah PolakVerlag
Springer UsSeitenzahl
782
This book deals with optimality conditions, algorithms, and discretization tech niques for nonlinear programming, semi-infinite optimization, and optimal con trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab lishing optimality conditions for highly complex problems, such as optimal con trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomestransparent.
Weitere Bände von Applied Mathematical Sciences
-
Zur Artikeldetailseite von Hysteresis and Phase Transitions des Autors Martin Brokate
Band 121Martin Brokate
Hysteresis and Phase TransitionsBuch
Fr. 137.00
-
Zur Artikeldetailseite von Global Analysis in Mathematical Physics des Autors Yuri Gliklikh
Band 122Yuri Gliklikh
Global Analysis in Mathematical PhysicsBuch
Fr. 182.00
-
Zur Artikeldetailseite von Global Bifurcation in Variational Inequalities des Autors Vy Khoi Le
Band 123Vy Khoi Le
Global Bifurcation in Variational InequalitiesBuch
Fr. 77.90
-
Zur Artikeldetailseite von Optimization des Autors Elijah Polak
Band 124Elijah Polak
OptimizationBuch
Fr. 393.00
-
Zur Artikeldetailseite von Topological Methods in Hydrodynamics des Autors Vladimir I. Arnold
Band 125Vladimir I. Arnold
Topological Methods in HydrodynamicsBuch
Fr. 201.00
-
Zur Artikeldetailseite von Weakly Connected Neural Networks des Autors Frank C. Hoppensteadt
Band 126Frank C. Hoppensteadt
Weakly Connected Neural NetworksBuch
Fr. 196.00
-
Zur Artikeldetailseite von Inverse Problems for Partial Differential Equations des Autors Victor Isakov
Band 127Victor Isakov
Inverse Problems for Partial Differential EquationsBuch
Fr. 138.00
-
Zur Artikeldetailseite von Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations des Autors Charles Li
Band 128Charles Li
Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger EquationsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Analysis of Spherical Symmetries in Euclidean Spaces des Autors Claus Müller
Band 129Claus Müller
Analysis of Spherical Symmetries in Euclidean SpacesBuch
Fr. 137.00
-
Zur Artikeldetailseite von Robust Control Theory in Hilbert Space des Autors Avraham Feintuch
Band 130Avraham Feintuch
Robust Control Theory in Hilbert SpaceBuch
Fr. 148.00
-
Zur Artikeldetailseite von Introduction to the Thermodynamics of Solids des Autors Jerald L. Ericksen
Band 131Jerald L. Ericksen
Introduction to the Thermodynamics of SolidsBuch
Fr. 157.00
-
Zur Artikeldetailseite von Finite Element Analysis of Acoustic Scattering des Autors Frank Ihlenburg
Band 132Frank Ihlenburg
Finite Element Analysis of Acoustic ScatteringBuch
Fr. 72.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen