Results 61 to 70 of about 22,103,434 (252)
IEEE Access, 2020 This paper presents a new concept for finding saddle-node bifurcation (SNB) points in voltage stability analysis of power systems by applying the extended functional method (EFM).
Pablo Daniel Paz Salazar +4 more
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Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions
Journal of Applied Mathematics, 2023 The fifth-order accurate Weighted Essentially Nonoscillatory space discretization developed by Jiang and Shu (WENO-JS) is studied theoretically. An exact Nonlinear Spectral Method (NSM) is developed based on an innovative yet simple methodology.
Tamer H. M. A. Kasem
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Heliyon, 2023 In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family of multifunctions to be metrically subregular which are stronger than the known sufficient ...
Matthieu Maréchal
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Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2019 The primal-dual gap is a natural upper bound for the energy error and, for uniformly convex minimization problems, also for the error in the energy norm.
S. Bartels, M. Milicevic
semanticscholar +1 more source
Nonsmooth analysis on smooth manifolds [PDF]
Transactions of the American Mathematical Society, 2007 We study infinitesimal properties of nonsmooth (nondifferentiable) functions on smooth manifolds. The eigenvalue function of a matrix on the manifold of symmetric matrices gives a natural example of such a nonsmooth function. A subdifferential calculus for lower semicontinuous functions is developed here for studying constrained optimization problems ...
Qiji J. Zhu, Yu. S. Ledyaev
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IEEE Access, 2022 Quaternions have appeared in many practical fields, such as image processing and data mining, and so on. This paper focuses on designing an efficient quaternion-valued neurodynamic approach (QNA) based on multi-agent systems to solve nonsmooth convex ...
Guocheng Li +3 more
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT This paper investigates the ability of machine learning (ML) to characterise the response of rocking structures when subjected to recorded earthquakes. In particular, it uses the structural parameters of a rigid block and strong ground motion characteristics to train two random forest (RF) models.
Stefan K. W. Chu +3 more
wiley +1 more source
Sensor based planning and nonsmooth analysis [PDF]
Proceedings of the 1994 IEEE International Conference on Robotics and Automation, 2002 This paper describes some initial steps towards sensor based path planning in an unknown static environment. The method is a based on a sensor-based incremental construction of a one-dimensional retract of the free space. In this paper we introduce a retract termed the generalized Voronoi graph, and also analyze the roadmap of Canny and Lin's ...
Choset, Howie, Burdick, Joel
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Higher-order error bound for the difference of two functions
Journal of Inequalities and Applications, 2018 Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.
Hui Huang, Mengxue Xia
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Generalized Newton's Method based on Graphical Derivatives [PDF]
, 2010 This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify a new generalized Newton algorithm based on graphical derivatives, which have
Hoheisel, T. +3 more
core +2 more sources