Standard Quadratic Optimization Problems: Applications

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

Standard Quadratic Optimization Problems: Theory

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

Standard Quadratic Optimization Problems: Algorithms

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

αBB algorithm; Concave programming; D.C. programming; Quadratic knapsack. Quadratic programming with bound constraints; Reverse convex optimization Standard quadratic optimization problems: Theory REVERSE CONVEX OPTIMIZATION

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Stephen E. Jacobsen

Entropy optimization: Interior point methods; Interior point methods for semidefinite programming; Linear programming: Interior point methods; Linear programming: Karmarkar projective algorithm; Potential reduction methods for linear programming; Sequential quadratic programming: Interior point methods for distributed optimal control problems; Successive quadratic programming: Solution by active sets and interior point methods HOMOGENEOUS SELFDUAL METHODS FOR LINEAR PROGRAMMING

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Erling D. Andersen

Quasidifferentiable Optimization: Exact Penalty Methods

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Lyudmila N. Polyakova

Sequential Quadratic Programming: Interior Point Methods for Distributed Optimal Control Problems

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Matthias Heinkenschloss

Piecewise Linear Network Flow Problems

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Dukwon Kim

Splitting Method for Linear Complementarity Problems

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Paul Tseng

Standard Quadratic Optimization Problems: Algorithms

BOOK CHAPTER published 2008 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

Duality for semidefinite programming; Entropy optimization: Interior point methods; Homogeneous selfdual methods for linear programming; Linear programming: Interior point methods; Linear programming: Karmarkar projective algorithm; Matrix completion problems; Potential reduction methods for linear programming; Semi-infinite programming, semidefinite programming and perfect duality; Semidefinite programming and determinant maximization; Semidefinite programming and structural optimization; Semidefinite programming: Optimality conditions and stability; Sequential quadratic programming: Interior point methods for distributed optimal control problems; Solving large scale and sparse semidefinite programs; Successive quadratic programming: Solution by active sets and interior point methods INTERIOR POINT METHODS FOR SEMIDEFINITE PROGRAMMING

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Levent Tunç

Standard Quadratic Optimization Problems: Applications

BOOK CHAPTER published 2008 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

Standard Quadratic Optimization Problems: Theory

BOOK CHAPTER published 2008 in Encyclopedia of Optimization

Authors: Immanuel M. Bomze

Parametric Optimization: Embeddings, Path Following and Singularities

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Jürgen Guddat | Dieter Nowack | Francisco Guerra

Semi-Infinite Programming: Methods for Linear Problems

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Sven-Åke Gustafson

Principal Pivoting Methods for Linear Complementarity Problems

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Tamás Terlaky

Quadratic Knapsack

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Yasutoshi Yajima

Bilevel fractional programming; Farkas lemma; Farkas lemma: Generalizations; Fractional combinatorial optimization; Quadratic fractional programming: Dinkelbach methodBilevel fractional programming; Fractional combinatorial optimization; Quadratic fractional programming: Dinkelbach methodFRACTIONAL PROGRAMMING

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Hans Frenk | Siegfried Schaible

Bilevel fractional programming; Combinatorial matrix analysis; Combinatorial optimization algorithms in resource allocation problem; Combinatorial optimization games; Complexity classes in optimization; Complexity of degeneracy; Complexity of gradients, Jacobians, and Hessians; Complexity theory; Complexity theory: Quadratic programming; Computational complexity theory; Evolutionary algorithms in combinatorial optimization; Fractional programming; Information-based complexity and information-based optimization; Kolmogorov complexity; Mixed integer nonlinear programming; Multi-objective combinatorial optimization; Neural networks for combinatorial optimization; NP-complete problems and proof methodology; Parallel computing: Complexity classes; Quadratic fractional programming: Dinkelbach method; Replicator dynamics in combinatorial optimizationBilevel fractional programming; Combinatorial matrix analysis; Combinatorial optimization algorithms in resource allocation problems; Combinatorial optimization games; Complexity classes in optimization; Complexity of degeneracy; Complexity of gradients, Jacobians, and Hessians; Complexity theory; Complexity theory: Quadratic programming; Computational complexity theory; Evolutionary algorithms in combinatorial optimization; Fractional programming; Information-based complexity and information-based optimization; Kolmogorov complexity; Mixed integer nonlinear programming; Multi-objective combinatorial optimization; NP-complete problems and proof methodology; Parallel computing: Complexity classes; Quadratic fractional programming: Dinkelbach method; Replicator dynamics in combinatorial optimization; Stochastic integer programsFRACTIONAL COMBINATORIAL OPTIMIZATION

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Tomasz Radzik

αBB algorithm; Eigenvalue enclosures for ordinary differential equations; Generalized monotonicity: Applications to variational inequalities and equilibrium problems; Hemivariational inequalities: Applications in mechanics; Hemivariational inequalities: Static problems; Interval analysis: Eigenvalue bounds of interval matrices; Non-convex energy functions: Hemivariational inequalities; Nonconvex-nonsmooth calculus of variations; Quasidifferentiable optimization; Quasidifferentiable optimization: Algorithms for hypodifferentiable functions; Quasidifferentiable optimization: Algorithms for QD functions; Quasidifferentiable optimization: Applications; Quasidifferentiable optimization: Applications to thermoelasticity; Quasidifferentiable optimization: Calculus of quasidifferentials; Quasidifferentiable optimization: Codifferentiable functions; Quasidifferentiable optimization: Dini derivatives, Clarke derivatives; Quasidifferentiable optimization: Exact penalty methods; Quasidifferentiable optimization: Optimality conditions; Quasidifferentiable optimization: Stability of dynamic systems; Quasidifferentiable optimization: Variational formulations; Quasivariational inequalities; Semidefinite programming and determinant maximization; Sensitivity analysis of variational inequality problems; Solving hemivariational inequalities by nonsmooth optimization methods; Variational inequalities; Variational inequalities: F. E. approach; Variational inequalities: Geometric interpretation, existence and uniqueness; Variational inequalities: Projected dynamical system; Variational principles HEMIVARIATIONAL INEQUALITIES: EIGENVALUE PROBLEMS

BOOK CHAPTER published 2001 in Encyclopedia of Optimization

Authors: Daniel Goeleven | Dumitru Motreanu