IEEE transactions on signal processing, ISSN 1941-0476, 2018, Volume 66, Issue 10, pp. 2616 - 2630

Fractional programming (FP) refers to a family of optimization problems that involve ratio term...

Communication systems | Array signal processing | Fractional programming (FP) | quadratic transform | Transforms | Interference | energy efficiency | Linear programming | power control | beamforming | Optimization | Signal to noise ratio | ENERGY-EFFICIENCY | ALGORITHM | SUM | NETWORKS | RATIOS PROBLEM | ENGINEERING, ELECTRICAL & ELECTRONIC | LINEAR-RATIOS | OPTIMIZATION

Communication systems | Array signal processing | Fractional programming (FP) | quadratic transform | Transforms | Interference | energy efficiency | Linear programming | power control | beamforming | Optimization | Signal to noise ratio | ENERGY-EFFICIENCY | ALGORITHM | SUM | NETWORKS | RATIOS PROBLEM | ENGINEERING, ELECTRICAL & ELECTRONIC | LINEAR-RATIOS | OPTIMIZATION

Journal Article

Mathematical programming, ISSN 1436-4646, 2013, Volume 149, Issue 1-2, pp. 47 - 81

...Math. Program., Ser. A (2015) 149:47–81
DOI 10.1007/s10107-013-0738-9
FULL LENGTH PAPER
Phase recovery, MaxCut and complex semideﬁnite
programming
Irène...

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C22 | Mathematics | 90C27 | Combinatorics | 94A12 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MAXIMUM CUT | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION ALGORITHMS | QUADRATIC OPTIMIZATION | RELAXATION | RETRIEVAL | Algorithms | Studies | Semidefinite programming | Quadratic programming | Analysis | Amplitudes | Mathematical analysis | Phase retrieval | Blocking | Texts | Mathematical models | Vectors (mathematics) | Mathematical programming

Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C22 | Mathematics | 90C27 | Combinatorics | 94A12 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MAXIMUM CUT | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION ALGORITHMS | QUADRATIC OPTIMIZATION | RELAXATION | RETRIEVAL | Algorithms | Studies | Semidefinite programming | Quadratic programming | Analysis | Amplitudes | Mathematical analysis | Phase retrieval | Blocking | Texts | Mathematical models | Vectors (mathematics) | Mathematical programming

Journal Article

Operations research, ISSN 1526-5463, 2019, Volume 67, Issue 3, pp. 813 - 830

In the paper “Robust Dual Dynamic Programming,” Angelos Georghiou, Angelos Tsoukalas, and Wolfram Wiesemann propose a novel solution scheme for addressing planning problems with long horizons...

multistage problems | dual dynamic programming | error bounds | robust optimization | UNIT COMMITMENT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | DECOMPOSITION | UNCERTAINTY | OPTIMIZATION | DNA polymerases | Usage | Algorithms | Dynamic programming | Methods | Stochastic programming

multistage problems | dual dynamic programming | error bounds | robust optimization | UNIT COMMITMENT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | DECOMPOSITION | UNCERTAINTY | OPTIMIZATION | DNA polymerases | Usage | Algorithms | Dynamic programming | Methods | Stochastic programming

Journal Article

The International Journal of Robotics Research, ISSN 0278-3649, 6/2014, Volume 33, Issue 7, pp. 1006 - 1028

Hierarchical least-square optimization is often used in robotics to inverse a direct function when multiple incompatible objectives are involved. Typical...

task hierarchy | redundancy | humanoid robot | Inverse kinematics | TASK | ROBOTICS | AVOIDANCE | KINEMATIC CONTROL | AVOIDING JOINT LIMITS | SINGULARITY | FRAMEWORK | CONSTRAINTS | OPTIMIZATION | MANIPULATORS | PRIORITY REDUNDANCY RESOLUTION | Evaluation | Usage | Multilevel analysis | Mobile robots | Quadratic programming | Analysis | Hierarchies | Redundancy | Least squares method | Inequalities | Solvers | Robotics | Robots | Computer Science

task hierarchy | redundancy | humanoid robot | Inverse kinematics | TASK | ROBOTICS | AVOIDANCE | KINEMATIC CONTROL | AVOIDING JOINT LIMITS | SINGULARITY | FRAMEWORK | CONSTRAINTS | OPTIMIZATION | MANIPULATORS | PRIORITY REDUNDANCY RESOLUTION | Evaluation | Usage | Multilevel analysis | Mobile robots | Quadratic programming | Analysis | Hierarchies | Redundancy | Least squares method | Inequalities | Solvers | Robotics | Robots | Computer Science

Journal Article

Mathematical programming, ISSN 1436-4646, 2016, Volume 161, Issue 1-2, pp. 237 - 270

...) technique for solving a multi-block convex composite quadratic programming whose objective contains a nonsmooth term involving only the first block-variable...

Alternating direction method of multipliers | 65K05 | Theoretical, Mathematical and Computational Physics | 90C06 | Mathematics | Symmetric Gauss–Seidel | Convex quadratic semidefinite programming | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | 90C22 | Convex conic programming | Majorization | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ALTERNATING DIRECTION METHOD | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Symmetric Gauss-Seidel | MULTIPLIERS | PROXIMAL POINT ALGORITHM | MONOTONE-OPERATORS | Studies | Semidefinite programming | Quadratic programming | Mathematical analysis | Convex analysis | Conics | Mathematical models | Criteria | Cost engineering | Convergence | Symmetry | Mathematical programming | Mathematics - Optimization and Control

Alternating direction method of multipliers | 65K05 | Theoretical, Mathematical and Computational Physics | 90C06 | Mathematics | Symmetric Gauss–Seidel | Convex quadratic semidefinite programming | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | 90C22 | Convex conic programming | Majorization | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ALTERNATING DIRECTION METHOD | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Symmetric Gauss-Seidel | MULTIPLIERS | PROXIMAL POINT ALGORITHM | MONOTONE-OPERATORS | Studies | Semidefinite programming | Quadratic programming | Mathematical analysis | Convex analysis | Conics | Mathematical models | Criteria | Cost engineering | Convergence | Symmetry | Mathematical programming | Mathematics - Optimization and Control

Journal Article

6.
Full Text
Quadratic convex reformulation for quadratic programming with linear on–off constraints

European journal of operational research, ISSN 0377-2217, 2019, Volume 274, Issue 3, pp. 824 - 836

•Advance the state-of-the-art for quadratic programming with on–off constraints.•Generalize the quadratic convex reformulation approach...

Integer programming | Mixed integer quadratic programming | Semidefinite program | Quadratic convex reformulation | On–off constraint | On-off constraint | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Quadratic programming | Usage

Integer programming | Mixed integer quadratic programming | Semidefinite program | Quadratic convex reformulation | On–off constraint | On-off constraint | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Quadratic programming | Usage

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 12/2002, Volume 47, Issue 12, pp. 1974 - 1985

We study model predictive control (MPC) schemes for discrete-time linear time-invariant systems with constraints on inputs and states, that can be formulated...

Stability | Optimal control | Signal sampling | Predictive models | Open loop systems | Automatic control | Linear programming | State-space methods | Quadratic programming | Predictive control | Linear programming (LP) | Model predictive control (MPC) | Piecewise linear control | Multiparametric programming | Constraints | INVARIANCE | LEVEL CONTROL | FEEDBACK-CONTROL | LYAPUNOV FUNCTIONS | STABILITY | NORMS | multiparametric programming | constraints | linear programming (LP) | model predictive control (MPC) | DISCRETE-TIME-SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | REGULATOR | piecewise linear control | ADMISSIBLE-SETS | AUTOMATION & CONTROL SYSTEMS | Discrete-time systems | Analysis

Stability | Optimal control | Signal sampling | Predictive models | Open loop systems | Automatic control | Linear programming | State-space methods | Quadratic programming | Predictive control | Linear programming (LP) | Model predictive control (MPC) | Piecewise linear control | Multiparametric programming | Constraints | INVARIANCE | LEVEL CONTROL | FEEDBACK-CONTROL | LYAPUNOV FUNCTIONS | STABILITY | NORMS | multiparametric programming | constraints | linear programming (LP) | model predictive control (MPC) | DISCRETE-TIME-SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | REGULATOR | piecewise linear control | ADMISSIBLE-SETS | AUTOMATION & CONTROL SYSTEMS | Discrete-time systems | Analysis

Journal Article

Energy (Oxford), ISSN 0360-5442, 2019, Volume 166, Issue C, pp. 755 - 764

Economic dispatch for micro-grids and district energy systems presents a highly constrained non-linear, mixed-integer optimization problem that scales...

Mixed-integer relaxation | Economic dispatch | Quadratic programming | Unit commitment | Energy storage | HEAT | ENERGY MANAGEMENT | THERMODYNAMICS | ENERGY & FUELS | SEARCH ALGORITHM | OPTIMIZATION | MICROGRIDS | Cooling | Cogeneration | Storage systems | Chillers | Optimization | Storage | Heating | Computer applications | Electric power grids | Electricity generation | Power dispatch

Mixed-integer relaxation | Economic dispatch | Quadratic programming | Unit commitment | Energy storage | HEAT | ENERGY MANAGEMENT | THERMODYNAMICS | ENERGY & FUELS | SEARCH ALGORITHM | OPTIMIZATION | MICROGRIDS | Cooling | Cogeneration | Storage systems | Chillers | Optimization | Storage | Heating | Computer applications | Electric power grids | Electricity generation | Power dispatch

Journal Article

PloS one, ISSN 1932-6203, 2015, Volume 10, Issue 4, p. e0121002

Quadratic assignment problems arise in a wide variety of domains, spanning operations research, graph theory, computer vision, and neuroscience, to name a few....

MULTIDISCIPLINARY SCIENCES | ALGORITHM | Caenorhabditis elegans - physiology | Algorithms | Animals | Connectome | Neurosciences | Machine vision | Comparative analysis | Brain | Operations research | Mental disorders | Laboratories | Nervous system | Accuracy | Data management | Efficiency | Optimization techniques | Graphs | Traveling salesman problem | Computer vision | Big Data | Graph theory | Pattern recognition | Quadratic programming | Domains | Brain research | Applied mathematics | Nematodes | Artificial intelligence | Convex analysis | Graph matching

MULTIDISCIPLINARY SCIENCES | ALGORITHM | Caenorhabditis elegans - physiology | Algorithms | Animals | Connectome | Neurosciences | Machine vision | Comparative analysis | Brain | Operations research | Mental disorders | Laboratories | Nervous system | Accuracy | Data management | Efficiency | Optimization techniques | Graphs | Traveling salesman problem | Computer vision | Big Data | Graph theory | Pattern recognition | Quadratic programming | Domains | Brain research | Applied mathematics | Nematodes | Artificial intelligence | Convex analysis | Graph matching

Journal Article

European journal of operational research, ISSN 0377-2217, 10/2016, Volume 254, Issue 1, pp. 9 - 18

....•We derive equivalent Mixed Integer Linear Programming formulations. Thus, we compute optimal solutions and upper bounds...

Bilevel programming | Semidefinite programming | (I) Conic programming and interior point methods | Mixed integer linear programming | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PENALTY | CUT | VARIABLE NEIGHBORHOOD SEARCH | OPTIMIZATION | ALGORITHMS | LINEAR BILEVEL | Problem solving | Linear programming | Analysis | Quadratic functions | Decision-making | Mixed integer | Equivalence | Mathematical models | Computational efficiency | Quadratic programming | Followers | Optimization | Computer Science | Operations Research

Bilevel programming | Semidefinite programming | (I) Conic programming and interior point methods | Mixed integer linear programming | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PENALTY | CUT | VARIABLE NEIGHBORHOOD SEARCH | OPTIMIZATION | ALGORITHMS | LINEAR BILEVEL | Problem solving | Linear programming | Analysis | Quadratic functions | Decision-making | Mixed integer | Equivalence | Mathematical models | Computational efficiency | Quadratic programming | Followers | Optimization | Computer Science | Operations Research

Journal Article

2017, 1, Advances in Applied Mathematics, ISBN 1498735754, xiv, 386 pages : illustrations

Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables...

Quadratic programming | Data processing | Mathematics & Statistics for Engineers | Operations Research

Quadratic programming | Data processing | Mathematics & Statistics for Engineers | Operations Research

Book

Mathematical programming, ISSN 1436-4646, 2018, Volume 175, Issue 1-2, pp. 395 - 418

..., with
$$s \ge 2$$
s
≥
2
, we show that each cycle of the classical block symmetric Gauss–Seidel (sGS) method exactly solves the associated quadratic programming...

augmented Lagrangian method | Theoretical, Mathematical and Computational Physics | Block symmetric Gauss–Seidel | 90C06 | Mathematics | Convex composite quadratic programming | 90C20 | Mathematical Methods in Physics | 65F10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Combinatorics | Schur complement | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Block symmetric Gauss-Seidel | Management science | Algorithms | Theorems | Decomposition | Iterative methods | Quadratic programming | Mathematical analysis | Matrix methods

augmented Lagrangian method | Theoretical, Mathematical and Computational Physics | Block symmetric Gauss–Seidel | 90C06 | Mathematics | Convex composite quadratic programming | 90C20 | Mathematical Methods in Physics | 65F10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Combinatorics | Schur complement | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Block symmetric Gauss-Seidel | Management science | Algorithms | Theorems | Decomposition | Iterative methods | Quadratic programming | Mathematical analysis | Matrix methods

Journal Article

Mathematical programming, ISSN 1436-4646, 2016, Volume 162, Issue 1-2, pp. 225 - 240

Mixed-integer quadratic programming is the problem of optimizing a quadratic function over points in a polyhedral set where some of the components are restricted to be integral...

Theoretical, Mathematical and Computational Physics | Mathematics | Quadratic programming | Complexity | Integer programming | 90C20 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C11 | Combinatorics | 90C60 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Computer science | Studies | Complexity theory | Economics | Feasibility | Mathematical models | Polynomials | Lectures | Optimization

Theoretical, Mathematical and Computational Physics | Mathematics | Quadratic programming | Complexity | Integer programming | 90C20 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C11 | Combinatorics | 90C60 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Computer science | Studies | Complexity theory | Economics | Feasibility | Mathematical models | Polynomials | Lectures | Optimization

Journal Article

Computers & chemical engineering, ISSN 0098-1354, 2019, Volume 125, Issue C, pp. 98 - 113

•We present novel algorithms for the exact and global solution of two classes of bi-level programming problems...

Bilevel programming | Mixed-integer programming | Multi parametric programming | BRANCH | STRATEGY | ALGORITHM | ENTERPRISE | ENGINEERING, CHEMICAL | DEMAND | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PREDICTIVE CONTROL | GLOBAL OPTIMIZATION | UNCERTAINTY | FRAMEWORK | SUPPLY CHAIN DESIGN | MATHEMATICS AND COMPUTING | ENGINEERING

Bilevel programming | Mixed-integer programming | Multi parametric programming | BRANCH | STRATEGY | ALGORITHM | ENTERPRISE | ENGINEERING, CHEMICAL | DEMAND | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PREDICTIVE CONTROL | GLOBAL OPTIMIZATION | UNCERTAINTY | FRAMEWORK | SUPPLY CHAIN DESIGN | MATHEMATICS AND COMPUTING | ENGINEERING

Journal Article

European journal of operational research, ISSN 0377-2217, 2016, Volume 252, Issue 3, pp. 701 - 727

•We review the recent advances in global optimization for Mixed Integer Nonlinear Programming, MINLP...

MINLP | Grey-/Black-box | Constraints | Deterministic global optimization | Derivative-free | WASTE-WATER TREATMENT | GENERATING SET SEARCH | TRUST-REGION ALGORITHMS | SURROGATE-BASED OPTIMIZATION | NONCONVEX QUADRATIC PROGRAMS | OUTER-APPROXIMATION ALGORITHM | ADAPTIVE DIRECT SEARCH | TIGHT CONVEX UNDERESTIMATORS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | HEAT-EXCHANGER NETWORKS | LIQUID TRANSPORTATION FUELS | Analysis | Nonlinear programming | Algorithms | Mathematical optimization | Literature reviews | Applications programs | Benchmarking | Optimization | Computer programs

MINLP | Grey-/Black-box | Constraints | Deterministic global optimization | Derivative-free | WASTE-WATER TREATMENT | GENERATING SET SEARCH | TRUST-REGION ALGORITHMS | SURROGATE-BASED OPTIMIZATION | NONCONVEX QUADRATIC PROGRAMS | OUTER-APPROXIMATION ALGORITHM | ADAPTIVE DIRECT SEARCH | TIGHT CONVEX UNDERESTIMATORS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | HEAT-EXCHANGER NETWORKS | LIQUID TRANSPORTATION FUELS | Analysis | Nonlinear programming | Algorithms | Mathematical optimization | Literature reviews | Applications programs | Benchmarking | Optimization | Computer programs

Journal Article