The Least squares and line search in extracting eigenpairs in Jacobi–Davidson method
Sign Up to like & getrecommendations! Published in 2020 at "Bit Numerical Mathematics"
DOI: 10.1007/s10543-020-00806-3
Abstract: The methods used for extracting an approximate eigenpair are crucial in sparse iterative eigensolvers. Using least squares and line search techniques this paper devises a method for an approximate eigenpair extraction. Numerical comparison of the… read more here.
Keywords: least squares; davidson method; jacobi davidson; squares line ... See more keywords
A nonmonotone Jacobian smoothing inexact Newton method for NCP
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DOI: 10.1007/s10589-016-9881-6
Abstract: In this paper we propose Jacobian smoothing inexact Newton method for nonlinear complementarity problems (NCP) with derivative-free nonmonotone line search. This nonmonotone line search technique ensures globalization and is a combination of Grippo-Lampariello-Lucidi (GLL) and… read more here.
Keywords: inexact newton; jacobian smoothing; smoothing inexact; method ... See more keywords
On the worst-case evaluation complexity of non-monotone line search algorithms
Sign Up to like & getrecommendations! Published in 2017 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-017-9928-3
Abstract: A general class of non-monotone line search algorithms has been proposed by Sachs and Sachs (Control Cybern 40:1059–1075, 2011) for smooth unconstrained optimization, generalizing various non-monotone step size rules such as the modified Armijo rule… read more here.
Keywords: non monotone; monotone line; complexity; algorithms ... See more keywords
Risk Reduction in Line Grid Search for Elliptical Targets
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DOI: 10.1007/s11004-019-09852-2
Abstract: Structured search strategies have been well studied, but consequences of frequently made assumptions can lead to “optimum” recommendations that are far from optimum in that they ignore risks of failure. Common assumptions are many targets… read more here.
Keywords: elliptical targets; search; line; target ... See more keywords
Two accelerated nonmonotone adaptive trust region line search methods
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DOI: 10.1007/s11075-017-0406-x
Abstract: Hybridizing monotone and nonmonotone approaches, we employ a modified trust region ratio in which more information is provided about the agreement between the exact and the approximate models. Also, we use an adaptive trust region… read more here.
Keywords: adaptive trust; trust region; two accelerated; line search ... See more keywords
Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0527-x
Abstract: In this paper, basing on the subgradient extragradient method and inertial method with line-search process, we introduce two new algorithms for finding a common element of the solution set of a variational inequality and the… read more here.
Keywords: extragradient; search process; subgradient extragradient; variational inequality ... See more keywords
A modified nonmonotone trust region line search method
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1113-4
Abstract: Hybridizing monotone and nonmonotone approaches, we propose a modified trust region ratio in which more reasonable information is provided about consistency between the exact and the approximate models. Also, we employ an Armijo-type line search… read more here.
Keywords: line search; trust region; modified nonmonotone; region ... See more keywords
A return mapping algorithm for isotropic and anisotropic plasticity models using a line search method
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DOI: 10.1016/j.cma.2016.11.026
Abstract: Abstract The numerical integration of constitutive models in computational solid mechanics codes allows for the solution of boundary value problems involving complex material behavior. Metal plasticity models, in particular, have been instrumental in the development… read more here.
Keywords: line search; return mapping; plasticity models;
Combining line search and trust-region methods for -minimization
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DOI: 10.1080/00207160.2017.1346241
Abstract: ABSTRACT This study presents a new trust-region algorithm to solve the -minimization problem with applications to compressed sensing (CS) and image deblurring that will be augmented with a shrinkage operation to produce a new iteration… read more here.
Keywords: line search; trust region; minimization; region ... See more keywords
Fast Convergence Strategy for Multi-Image Superresolution via Adaptive Line Search
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DOI: 10.1109/access.2018.2799161
Abstract: Multi-image superresolution (SR) techniques produce a high-resolution image from several low-resolution observations. Previous reconstruction-based SR approaches focus more on the optimization models but have not adequately emphasized the mathematic-solving techniques for this typically ill-conditioned and… read more here.
Keywords: strategy; multi image; line search;
Adaptive Clustering Quasi-Line Search Path Planning Algorithm Based On Sampling
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Vehicular Technology"
DOI: 10.1109/tvt.2022.3212982
Abstract: In this paper, the adaptive clustering quasi-line search path planning algorithm (ACPP) is proposed from the viewpoint of non-convex optimization in an artificial potential field (APF). In ACPP, the initial path is the trajectory of… read more here.
Keywords: quasi line; line search; path planning; path ... See more keywords