Results 11 to 20 of about 291 (36)
Derivative-free optimization and filter methods to solve nonlinear constrained problems [PDF]
, 2009 In real optimization problems, usually the analytical expression of the objective function is not known, nor its derivatives, or they are complex. In these cases it becomes essential to use optimization methods where the calculation of the derivatives,
Correia, Aldina +3 more
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Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows [PDF]
, 2018 This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative ordinary differential equations.
Celledoni, Elena +3 more
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An interior-point method for mpecs based on strictly feasible relaxations. [PDF]
, 2004 An interior-point method for solving mathematical programs with equilibrium constraints (MPECs) is proposed. At each iteration of the algorithm, a single primaldual step is computed from each subproblem of a sequence.
Angel Víctor De Miguel +4 more
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Tensor Methods for Minimizing Convex Functions with H\"{o}lder Continuous Higher-Order Derivatives
, 2020 In this paper we study $p$-order methods for unconstrained minimization of convex functions that are $p$-times differentiable ($p\geq 2$) with $\nu$-H\"{o}lder continuous $p$th derivatives. We propose tensor schemes with and without acceleration. For the
Grapiglia, Geovani Nunes +1 more
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Demonstratio MathematicaThis article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj +1 more source
Franklin OpenThe conjugate gradient (CG) method is widely employed for solving unconstrained optimization problems due to its independence from second derivatives or their approximations. It has found extensive applications in fields such as image restoration, neural
Ahmad Alhawarat +4 more
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An augmented lagrangian interior point method using diretions of negative curvature [PDF]
, 2000 We describe an efficient implementation of an interior-point algorithm for non-convex problems that uses directions of negative curvature. These directions should ensure convergence to second-order KKT points and improve the computational efficiency of ...
Moguerza, Javier M. +1 more
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, 2014 In a Hilbert framework, we introduce continuous and discrete dynamical systems which aim at solving inclusions governed by structured monotone operators $A=\partial\Phi+B$, where $\partial\Phi$ is the subdifferential of a convex lower semicontinuous ...
Abbas, Boushra, Attouch, Hedy
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Uniform Convergence of the Newton Method for Aubin Continuous Maps [PDF]
, 1996 * This work was supported by National Science Foundation grant DMS 9404431.In this paper we prove that the Newton method applied to the generalized equation y ∈ f(x) + F(x) with a C^1 function f and a set-valued map F acting in Banach spaces, is locally ...
Dontchev, Asen
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Avoidance trajectories for driver assistance systems via solvers for optimal control problems [PDF]
, 2012 CD-ROM, Paper No. 294, 8 pages,International audienceAvoidance trajectories for driver assistance systems is an important and active fi eld of research in car industry. Assistance systems with active braking maneuvers rely on car models, e.g.
Baier, Robert +4 more
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