Overall convergence rate of delta operator systems subject to actuator saturation
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.3754
Abstract: Summary In this paper, overall convergence rate is considered for a delta operator system with actuator saturation. A saturation feedback law is presented for the delta operator system to obtain a desired overall convergence rate.… read more here.
Keywords: overall convergence; convergence rate; delta operator;
Algorithms, Convergence and Rate of Convergence for an Interpolation Model Between Lagrange and Hermite
Sign Up to like & getrecommendations! Published in 2018 at "Results in Mathematics"
DOI: 10.1007/s00025-018-0802-0
Abstract: The aim of this piece of work is to study an interpolation problem on the interval $$[-\,1,1]$$[-1,1], which can be considered an intermediate case between the interpolation problems of Lagrange and Hermite. The nodal points… read more here.
Keywords: lagrange hermite; rate convergence; interpolation; convergence rate ... See more keywords
Improving the convergence rate of kinetic dynamic relaxation method with new R-point
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DOI: 10.1007/s00366-021-01410-x
Abstract: This study deals with a new strategy for the restart phase in the kinetic dynamic relaxation (DR) method. First, the position of the restart point (R-point) is determined by the kinetic energy modeling as a… read more here.
Keywords: kinetic dynamic; rate kinetic; dynamic relaxation; convergence rate ... See more keywords
Convergence Rate for Galerkin Approximation of the Stochastic Allen—Cahn Equations on 2D Torus
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-020-9367-4
Abstract: In this paper we discuss the convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations driven by space-time white noise on $$\mathbb{T}^2$$ T 2 . First we prove that the convergence rate for stochastic… read more here.
Keywords: galerkin approximation; approximation stochastic; rate galerkin; convergence rate ... See more keywords
Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1390-6
Abstract: In this paper, we propose the descent method with new inexact line-search for unconstrained optimization problems on Riemannian manifolds. The global convergence of the proposed method is established under some appropriate assumptions. We further analyze… read more here.
Keywords: method new; convergence rate; descent method; convergence ... See more keywords
A Note on the Optimal Convergence Rate of Descent Methods with Fixed Step Sizes for Smooth Strongly Convex Functions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-022-02032-z
Abstract: Based on a result by Taylor et al. (J Optim Theory Appl 178(2):455–476, 2018) on the attainable convergence rate of gradient descent for smooth and strongly convex functions in terms of function values, an elementary… read more here.
Keywords: convergence; descent; convergence rate; convex functions ... See more keywords
Fractional differential equation approach for convex optimization with convergence rate analysis
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DOI: 10.1007/s11590-019-01437-6
Abstract: A fractional differential equation (FDE) based algorithm for convex optimization is presented in this paper, which generalizes ordinary differential equation (ODE) based algorithm by providing an additional tunable parameter $$\alpha \in (0,1]$$ α ∈ (… read more here.
Keywords: convex optimization; fractional differential; convergence; differential equation ... See more keywords
Convergence rate of a rectangular subdivision-based optimization algorithm for smooth multivariate functions
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DOI: 10.1007/s11590-021-01792-3
Abstract: In Zheng (J. Glob. Opt. 79:431-445;2021) the authors described a global optimization algorithm for multivariate continuous functions and applied it to an image processing problem. While the algorithm was shown to converge for all continuous… read more here.
Keywords: functions convergence; convergence rate; optimization; optimization algorithm ... See more keywords
Unified frameworks for high order Newton-Schulz and Richardson iterations: a computationally efficient toolkit for convergence rate improvement
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01229-8
Abstract: Convergence rate and robustness improvement together with reduction of computational complexity are required for solving the system of linear equations $$A \theta _* = b$$Aθ∗=b in many applications such as system identification, signal and image… read more here.
Keywords: convergence rate; rate improvement; unified frameworks; convergence ... See more keywords
Brittle-ductile transition depth versus convergence rate in shallow crustal thrust faults: Considerations on seismogenic volume and impact on seismicity
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DOI: 10.1016/j.pepi.2018.09.002
Abstract: Abstract Earthquakes occur in the Earth ’ s crust where rocks are brittle, with magnitude increasing with the volume involved in the coseismic stage. Largest volumes are expected in convergent tectonic settings since thrust fault… read more here.
Keywords: depth; volume; thrust; convergence rate ... See more keywords
Exact convergence rate of the local limit theorem for branching random walks on the integer lattice
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DOI: 10.1016/j.spa.2016.07.015
Abstract: Consider branching random walks on the integer lattice Zd, where the branching mechanism is governed by a supercritical Galton–Watson process and the particles perform a symmetric nearest-neighbor random walk whose increments equal to zero with… read more here.
Keywords: local limit; exact convergence; random walks; convergence rate ... See more keywords