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GPU Accelerated Sequential Quadratic Programming
2017 16th International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2017Nonlinear optimization problems arise in all industries. Accelerating optimization solvers is desirable. Efforts have been made to accelerate interior point methods for large scale problems. However, since the interior point algorithm used requires many function evaluations, the acceleration of the algorithm becomes less beneficial.
Xiukun Hu +3 more
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Projected Sequential Quadratic Programming Methods
SIAM Journal on Optimization, 1996The author considers the optimization problem Minimize \(f(x)\) subject to \(c(x)=0\), \(a\leq u\leq b\) componentwise, where \(x=(y,u)\in \mathbb{R}^{m+n}\) and \(f:\mathbb{R}^{m+n} \to \mathbb{R}\), \(c: \mathbb{R}^{m+n}\to \mathbb{R}^m\) are sufficiently smooth. Such problems frequently arise in the numerical solution of optimal control problems. In
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Επαναληπτικός τετραγωνικός προγραμματισμός
2013The aim of this thesis is to study the solution of constrained nonlinear optimization problems using Sequential Quadratic Programming (SQP) method which has proved highly effective in practice. As with most optimization methods, SQP is not a single algorithm but rather a conceptual method from which numerous specific algorithms have evolved.
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SQ2P, Sequential Quadratic Constrained Quadratic Programming
1998We follow the popular approach for unconstrained minimization, i.e. we develop a local quadratic model at a current approximate minimizer in conjunction with a trust region. We then minimize this local model in order to find the next approximate minimizer.
Serge Kruk, Henry Wolkowicz
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Switching Stepsize Strategies for Sequential Quadratic Programming
Journal of Optimization Theory and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzallas-Regas, George, Rustem, Berç
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Sequential Quadratic Programming for Parameter Identification Problems
IFAC Proceedings Volumes, 1989Abstract Sequential quadratic programming (SQP) is a technique for nonlinear equality constrained minimization problems, which, from the point of view of local convergence, is equivalent to finding a root of the gradient of the Lagrangian by Newton's method, if the second order sufficient conditions hold. For general, unstructured, finite dimensional
D.M. Hwang, C.T. Kelley
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A Sequential Quadratically Constrained Quadratic Programming Method of Feasible Directions
Applied Mathematics and Optimization, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian, Jin-bao +3 more
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Hydropower Optimization Via Sequential Quadratic Programming
Journal of Water Resources Planning and Management, 1989Optimal allocation of powerplant releases during peak demand periods carries an economic advantage in the operation of hydropower systems interconnected to large electrical networks. This paper presents an alternative formulation for determining release strategies when the objective is not maximizing total hydroelectric generation per se, but rather ...
Gustavo E. Díaz, Darrell G. Fontane
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Sequential Quadratic Programming Methods
2011In his 1963 PhD thesis, Wilson proposed the first sequential quadratic programming (SQP) method for the solution of constrained nonlinear optimization problems. In the intervening 48 years, SQP methods have evolved into a powerful and effective class of methods for a wide range of optimization problems. We review some of the most prominent developments
Philip E. Gill, Elizabeth Wong
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VAR compensation by sequential quadratic programming
IEEE Transactions on Power Systems, 2003This paper presents an application of the sequential quadratic programming method to find the optimal sizing of shunt capacitors and/or passive filters for maximizing the net present value resulting from energy-loss reduction while taking investment cost into account and complying with the IEEE-519 standard.
I. Perez Abril, J. Gonzelez Quintero
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