Keywords: 90C26; 90C10; 90C27; 90C06; Integer linear programming; Subgradient method; Nonsmooth optimization; Travelling salesman problem;
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Keywords: Fractional optimization; Nonconvex optimization; Difference of convex functions; Equation with vector parameter; Global search algorithm; 90C26; 90C30;
Keywords: Multiextremal functions; Global optimization; Numerical methods; Dimensionality reduction; Convergence; Comparison of efficiency; 65K05; 90C26;
Keywords: Affine matrix rank minimization; Transformed affine matrix rank minimization; Non-convex fraction function; Equivalence; DC algorithm; 90C26; 90C27; 90C59;
Keywords: Constrained global optimization; Numerical comparison; Lipschitz-based deterministic approaches; Nature-inspired metaheuristics; 65K05; 90C26; 65Y20;
Keywords: Optimization; trust region method; global convergence; local convergence; 65K05; 90C26;
Keywords: Fitting hyperplanes; Mathematical programming; Location of structures; Robust fitting; Linear regression; 90B85; 90C26; 52C35; 65D10;
Keywords: Bilevel programming; Duality theory; Bilinear programming; Principal-agent; 90C26; 90C30;
Keywords: Pollution-routing problem; Speed optimization; Green transportation; Mixed-integer convex programming; 90B06; 90C11; 90C26; 90C27;
Keywords: 62H30; 68T10; 90C26; 90C27; 91C20; 47N10Clustering; Data mining; Cluster separability; Separability balls
Keywords: 90C25; 90C26; 90C90Utility-based bandwidth allocation problem; Quasi-nonexpansive mapping; Nonexpansive mapping; Fixed point optimization algorithm
Keywords: Eigenvalue problems; Complementarity problems; Nonlinear programming; Global optimization65F15; 90C33; 90C30; 90C26
Keywords: 90C46; 90C26; 49K30; 26B25Nonsmooth optimization; Second-order isolated minimizers; Strict local minimizers of order 2; Optimality conditions; Generalized convex functions
Keywords: 65T60; 14P99; 11E25; 90C26; 90C22Multivariate wavelet frame; Positive polynomial; Sum of hermitian squares; Transfer function
Keywords: 90C46; 90C30; 90C26; Higher-order symmetric duality; Higher-order cone-invexity; Higher-order cone-pseudoinvexity;
Keywords: 90C26; 90C25; 90C59; 15A06; 15A48Continuous Lyapunov equation; Discrete Lyapunov equation; Lowest-rank solution; Symmetric cone; Polynomial-time solvability
Keywords: 65K05; 90C26; 90C27; 90C59Heuristic algorithms; Biased randomization; Iterated Local Search; Scheduling; Flow-shop; Non-smooth objective functions
Iterative thresholding algorithm based on non-convex method for modified lp-norm regularization minimization
Keywords: 90C26; 65K10; 49M20; Compressed sensing; lp-norm; Modified lp-norm; 1â2âϵ algorithm;
Affine matrix rank minimization problem via non-convex fraction function penalty
Keywords: 90C26; 90C27; 90C59; Affine matrix rank minimization; Low-rank; Matrix completion; Fraction function; Iterative singular value thresholding algorithm; Image inpainting;
The global convergence of a modified BFGS method for nonconvex functions
Keywords: 90C26; Optimization; BFGS method; Global convergence; Wolfe line search;
Low Tucker rank tensor recovery via ADMM based on exact and inexact iteratively reweighted algorithms
Keywords: 65K05; 90C26; 90C59; Low Tucker rank tensor recovery; Tensor completion; Alternative direction method of multipliers; Iteratively reweighted algorithms; Lp norm;
Data for TROTS - The Radiotherapy Optimisation Test Set
Keywords: 90C06; 90C26; 90C29; 90C30; Radiotherapy; Nonlinear optimisation; Multiple objective programming; OR in health services; Large-Scale Optimisation;
Global convergence of BFGS and PRP methods under a modified weak Wolfe-Powell line search
Keywords: BFGS method; PRP method; Unconstrained optimization; Line search; Global convergence; 90C26;
Some convergence theorems for RM algorithm
Keywords: 90C26; 90C15; Stochastic approximation; Robbins-Monro algorithm;
An upper estimate for the Clarke subdifferential of an infimal value function proved via the Mordukhovich subdifferential
Keywords: 49J52; 90C26; 90C56Infimal value function; Clarke subdifferential; Mordukhovich subdifferential
The profit maximization problem in economies of scale
Keywords: 90C20; 90C26; 90C60Concave programming; Economies of scale; Infimal convolution; Piecewise concave functions; Algorithm complexity
An augmented penalty function method with penalty parameter updates for nonconvex optimization
Keywords: 90C26; 49M29; 49M37; 90C90Duality scheme; Penalty method; Augmented Lagrangian; Nonconvex optimization; Nonsmooth optimization; Kissing number problem
Fixed point optimization algorithm and its application to network bandwidth allocation
Keywords: 65K15; 90C25; 90C26; 90C90Convex minimization problem; Network bandwidth allocation problem; Generalized convex feasible set; Nonexpansive mapping; Fixed point optimization algorithm
A parametric approach for solving a class of generalized quadratic-transformable rank-two nonconvex programs
Keywords: 90C20; 90C26; 90C31Generalized quadratic programming; Low rank structures; Optimal level solutions; Global optimization
Linear bilevel programming with interval coefficients
Keywords: 90C26; 90C30; Linear bilevel programming; Uncertainty; Interval coefficients; Sensitivity analysis;
Lipschitz gradients for global optimization in a one-point-based partitioning scheme
Keywords: 65K05; 90C26; 90C56Global optimization; Lipschitz gradients; Set of Lipschitz constants; Geometric algorithms
εε-strict subdifferentials of set-valued maps and optimality conditions
Keywords: 90C26; 90C29; 90C30Set-valued map; εε-strict subdifferential; Optimality conditions; Near-subconvexlikeness
Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under (Φ,ρ)(Φ,ρ)-invexity
Keywords: 90C29; 90C26; 49J52Nonsmooth multiobjective programming; Clarke subdifferential; Nonsmooth (Φ,ρ)(Φ,ρ)-invexity; Proper efficiency; Optimality conditions
Solvability of Newton equations in smoothing-type algorithms for the SOCCP
Keywords: 90C26; 90C30; 90C33Solvability of Newton equations; Smoothing-type algorithm; Second-order cone complementarity problem
Lipschitz-like property of an implicit multifunction and its applications
Keywords: 49K40; 49J52; 90C29; 90C26; Implicit multifunction; Parametric vector optimization; Efficient solution map; Lipschitz-like; Coderivative;
Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method
Keywords: 90C26; 90C29; 90C30Multiobjective programming; Vector strict global minimizer of order 2; Differentiable (F,ρ)(F,ρ)-convex function of order 2; FF-approximated vector optimization problem
Optimality conditions in nonconvex optimization via weak subdifferentials
Keywords: 90C26; 90C30; 90C46; Weak subdifferential; Directional derivative; Nonconvex analysis; Optimality condition; Variational inequalities; Augmented normal cone;
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
Keywords: 90C46; 49J52; 46G05; 90C26; 90C29Higher-order outer and inner radial derivatives; Calculus rules; QQ-minimality; Ideal and weak efficiency; Various kinds of proper efficiency; Higher-order optimality conditions; Set-valued vector optimization
Filled function method for nonlinear equations
Keywords: 90C26; 90C30Filled function; Filled function method; System of nonlinear equations; Local minimizer; Global optimization
Openness properties for parametric set-valued mappings and implicit multifunctions
Keywords: 90C29; 90C26; 49J52Set-valued mappings; Normal coderivative; Openness; Implicit multifunctions; Metric regularity
Vector continuous-time programming without differentiability
Keywords: 90C26; 90C29; 90C30; 90C46Continuous-time programming; Multiobjective programming; Preinvex functions; Scalarization; Saddle point optimality; Duality
Linear bilevel programs with multiple objectives at the upper level
Keywords: 90C26; 90C30Bilevel programming; Multiobjective linear programming; Efficient; Non-dominated
Necessary optimality conditions for weak sharp minima in set-valued optimization
Keywords: 90C29; 90C26; 49J52Set-valued optimization; Sharp efficiency; Mordukhovich generalized differentiation; Fréchet normal cone
Existence and stability of exact penalty for optimization problems with mixed constraints
Keywords: 49M30; 90C26; 90C30Clarke’s generalized gradient; Ekeland’s variational principle; Minimization problem; Penalty function
Reformulation in mathematical programming: An application to quantum chemistry
Keywords: 90C20; 90C26; 90C11Hartree–Fock; Global optimization; Branch-and-Bound
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions
Keywords: 90C26; 90C29; 90C46Nondifferentiable multiobjective programming; (weak) Pareto optimal solution; dd-rr-type I objective and constraint functions; Optimality conditions; Duality
Log-Sigmoid nonlinear Lagrange method for nonlinear optimization problems over second-order cones
Keywords: 90C26; 90C30Log-Sigmoid function; Nonlinear Lagrangian method; Nonlinear second-order cone programming; Dual algorithm; Rate of convergence
On the relationships between G-preinvex functions and semistrictly G-preinvex functions
Keywords: 90C26; G-preinvex functions; Semistrictly G-preinvex functions; Invex set; Continuity;
On constraint qualifications in nonlinear programming
Keywords: 90C26; 90C30Inequality system; Positively homogeneous function; Constraint qualification; Inequality constrained extremum problem
Bilevel multiplicative problems: A penalty approach to optimality and a cutting plane based algorithm
Keywords: 90C26; 90C30Bilevel programming; Multiplicative programming; Penalty approach; Cutting plane