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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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Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application
This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the...
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Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher’s Augmented Lagrangian
We address the problem of minimizing a smooth function under smooth equality constraints. Under regularity assumptions on these constraints, we...
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A limited-memory trust-region method for nonlinear optimization with many equality constraints
In this paper, we propose a limited-memory trust-region method for solving large-scale nonlinear optimization problems with many equality...
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The Regularization Continuation Method for Optimization Problems with Nonlinear Equality Constraints
This paper considers the regularization continuation method and the trust-region updating strategy for the nonlinearly equality-constrained...
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Strong Duality for General Quadratic Programs with Quadratic Equality Constraints
In this article, by ‘general quadratic program’ we mean an optimization problem, in which all functions involved are quadratic or linear and local...
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Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints
In this paper, we propose first-order feasible methods for difference-of-convex (DC) programs with smooth inequality and simple geometric...
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A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints
We present a numerical method to simulate thick elastic curves that accounts for self-contact and container (obstacle) constraints under large...
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Primal-Dual Algorithm for Distributed Optimization with Coupled Constraints
This paper focuses on distributed consensus optimization problems with coupled constraints over time-varying multi-agent networks, where the global...
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The Rate of Convergence of Augmented Lagrangian Method for Minimax Optimization Problems with Equality Constraints
The augmented Lagrangian function and the corresponding augmented Lagrangian method are constructed for solving a class of minimax optimization...
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Monotone Splitting SQP Algorithms for Two-block Nonconvex Optimization Problems with General Linear Constraints and Applications
This work discusses a class of two-block nonconvex optimization problems with linear equality, inequality and box constraints. Based on the ideas of...
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Solving large linear least squares problems with linear equality constraints
We consider the problem of solving large-scale linear least squares problems that have one or more linear constraints that must be satisfied exactly....
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Inequality constrained stochastic nonlinear optimization via active-set sequential quadratic programming
We study nonlinear optimization problems with a stochastic objective and deterministic equality and inequality constraints, which emerge in numerous...
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First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
We consider optimization problems with manifold-valued constraints. These generalize classical equality and inequality constraints to a setting in...
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An augmented Lagrangian method for nonconvex composite optimization problems with nonlinear constraints
In this paper, we propose an augmented Lagrangian method with Backtracking Line Search for solving nonconvex composite optimization problems...
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A Poincaré type inequality with three constraints
In this paper, we consider a problem in calculus of variations motivated by a quantitative isoperimetric inequality in the plane. More precisely, the...
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Convergence analysis for solving the split equality equilibrium problem in Hilbert spaces
In this paper, we propose four alternated inertial algorithms with self-adaptive stepsize to address the split equality equilibrium problem (SEEP) in...
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On the Strong Subregularity of the Optimality Map** in an Optimal Control Problem with Pointwise Inequality Control Constraints
This paper presents sufficient conditions for strong metric subregularity (SMsR) of the optimality map** associated with the local Pontryagin...
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A Dynamic Alternating Direction of Multipliers for Nonconvex Minimization with Nonlinear Functional Equality Constraints
This paper studies the minimization of a broad class of nonsmooth nonconvex objective functions subject to nonlinear functional equality constraints,...
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On the Method of Penalty Functions for Control Systems with State Constraints under Integral Constraints on the Control
We consider a nonlinear control system with state constraints. The system is linear in the control variables, and the control constraints are given...
