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Nonlinear Programming Problems
When discussing optimization problems in economics, most cases, whether static or dynamic analysis, are attributed to nonlinear programming theory....
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Optimality Conditions for Nonlinear Second-Order Cone Programming and Symmetric Cone Programming
Nonlinear symmetric cone programming (NSCP) generalizes important optimization problems such as nonlinear programming, nonlinear semi-definite...
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Superlinear convergence of a stabilized SQP-type method for nonlinear semidefinite programming
The stabilized sequential quadratic programming (SQP) method can effectively deal with degenerate nonlinear optimization problems. In the case of...
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Heap-Based Optimizer Algorithm with Chaotic Search for Nonlinear Programming Problem Global Solution
In this paper, a heap-based optimizer algorithm with chaotic search has been presented for the global solution of nonlinear programming problems....
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Convex mixed-integer nonlinear programs derived from generalized disjunctive programming using cones
We propose the formulation of convex Generalized Disjunctive Programming (GDP) problems using conic inequalities leading to conic GDP problems. We...
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Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications
We present new constraint qualification conditions for nonlinear semidefinite programming that extend some of the constant rank-type conditions from...
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Nonlinear Programming
In the Introduction to Linear Programming in Sect. 2.1 in this volume, we outlined that the objective...
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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built...
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A Novel Two-Step Tensegrity Topology-Finding Method Based on Mixed Integer Programming and Nonlinear Programming
A two-step topology-finding method based on mixed integer programming and nonlinear programming is proposed for tensegrity structures. In the first...
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A spline smoothing homotopy method for nonlinear programming problems with both inequality and equality constraints
In this paper, we construct a new spline smoothing homotopy method for solving general nonlinear programming problems with a large number of...
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A thermal error modeling method for CNC lathes based on thermal distortion decoupling and nonlinear programming
CNC lathes often use hydraulic systems or motors to lock the turret, which causes the turret to have a high temperature rise and a large thermal...
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Dynamic Event-Triggered Prescribed Performance Control for Partially Unknown Nonlinear System via Adaptive Dynamic Programming
In order to solve the problem of optimal prescribed performance control for unknown dynamic nonlinear systems, an adaptive dynamic programming method...
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Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming
The augmented Lagrangian method (ALM) has gained tremendous popularity for its elegant theory and impressive numerical performance since it was...
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Adaptive Dynamic Programming-based Adaptive Optimal Tracking Control of a Class of Strict-feedback Nonlinear System
This paper proposes a novel scheme to investigate the adaptive optimal tracking control problem of a class of strict-feedback nonlinear system via...
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A method based on parametric convex programming for solving convex multiplicative programming problem
We propose a new parametric approach to convex multiplicative programming problem. This problem is nonconvex optimization problem with a lot of...
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Adaptive dynamic programming-based optimal control for nonlinear state constrained systems with input delay
This paper investigates the problem of adaptive optimal tracking control for full-state constrained strict-feedback nonlinear systems with input...
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A fuzzy programming approach to neutrosophic complex nonlinear programming problem of real functions in complex variables via lexicographic order
In this article, a complex nonlinear programming problem with objective function coefficients characterized by neutrosophic numbers and fuzzy...
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A Finsler Geometrical Programming Approach to the Nonlinear Complementarity Problem of Traffic Equilibrium
We consider a geometrical approach to the optimisation problems motivated by transportation system management. Here, we provide a comprehensive...
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Optimality Conditions for Nonlinear Programming
In this chapter we consider finite dimensional Nonlinear Programming problems with a finite number of equality and inequality constraints and we...
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A Nonlinear Programming Model for Long-Term Planning of Municipal Solid Waste Management Systems: The Desire for Global Optima
Long-term planning of municipal solid waste management systems (LPMSWMS) is a multi-layered problem that seeks answers to different decisions (i.e.,...
