Results 61 to 70 of about 97,762 (292)
A scaled three-term conjugate gradient method for unconstrained optimization
Journal of Inequalities and Applications, 2016 Conjugate gradient methods play an important role in many fields of application due to their simplicity, low memory requirements, and global convergence properties.
Ibrahim Arzuka +2 more
doaj +1 more source
Nonlinear structural dynamics via Newton and quasi-Newton methods [PDF]
, 2019 This paper is an attempt to compare Newton and quasi-Newton methods in nonlinear structural dynamics. After a review of the classical iterative methods, several quasi-Newton updates are presented and tested.
Geradin, M., Hogge, M., Idelsohn, Sergio
core
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Superlinear Convergence of Smoothing Quasi-Newton Methods for Nonsmooth Equations
, 1996 We study local convergence of smoothing quasi-Newton methods for solving a system of nonsmooth (nondifferentiable) equations in ! n . The feature of smoothing quasi-Newton methods is to use a smooth function to approximate the nonsmooth mapping and ...
Xiaojun Chen, Chen, Xiaojun
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Quasi-Newton approaches to Interior Point Methods for quadratic problems [PDF]
, 2019 Interior Point Methods (IPM) rely on the Newton method for solv-ing systems of nonlinear equations. Solving the linear systems which arise fromthis approach is the most computationally expensive task of an interior pointiteration.
Gondzio, Jacek, Sobral, F. N. C.
core +1 more source
Ultrafast Transitions in X‐Ray Irradiated Solids
Contributions to Plasma Physics, EarlyView.ABSTRACT In this review, we present current developments on modeling ultrafast transitions in solids triggered by intense, atto‐ to femtosecond pulses from X‐ray free electron lasers. This specific irradiation regime requires dedicated simulation tools based on theoretical and computational methods, involving the elements of classical and quantum ...
Sebastião Antunes +3 more
wiley +1 more source
MathematicsWe propose the higher-order quasi-Newton (HOQN) method, a hybrid algorithm for unconstrained optimization that combines Newtonian predictors with higher-order correctors derived from vector extensions of the Traub, Chun, and Ostrowski methods, along with
Alicia Cordero +3 more
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Action constrained quasi-Newton methods
CoRR, 2014 At the heart of Newton based optimization methods is a sequence of symmetric linear systems. Each consecutive system in this sequence is similar to the next, so solving them separately is a waste of computational effort. Here we describe automatic preconditioning techniques for iterative methods for solving such sequences of systems by maintaining an ...
Robert Mansel Gower, Jacek Gondzio
openaire +2 more sources
Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, we apply three numerical methods to study the L∞-convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand side.
M. Bahi, M. Beggas, N. Nesba, A. Imtiaz
doaj +1 more source