Results 11 to 20 of about 333,390 (187)

Cubically Convergent Iterations for Invariant Subspace Computation [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2004
Summary: We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of \(\mathbb R^n\) and converges locally cubically to the invariant subspaces of a symmetric matrix. This iteration is compared in terms of numerical cost and global behavior with three other methods that display the same property of cubic convergence ...
Absil, P-A   +3 more
openaire   +2 more sources

Symmetry-preserving Observers [PDF]

open access: yes, 2008
This paper presents three non-linear observers on three examples of engineering interest: a chemical reactor, a non-holonomic car, and an inertial navigation system. For each example, the design is based on physical symmetries.
Bonnabel, S., Martin, Ph., Rouchon, P.
core   +3 more sources

Convergence of Invariant Graph Networks

open access: yes, 2022
Although theoretical properties such as expressive power and over-smoothing of graph neural networks (GNN) have been extensively studied recently, its convergence property is a relatively new direction. In this paper, we investigate the convergence of one powerful GNN, Invariant Graph Network (IGN) over graphs sampled from graphons.
Cai, Chen, Wang, Yusu
openaire   +2 more sources

A New Newton Method with Memory for Solving Nonlinear Equations

open access: yesMathematics, 2020
A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
doaj   +1 more source

Existence, mixing and approximation of invariant densities for expanding maps on Rr [PDF]

open access: yes, 2001
This paper generalises Gora and Boyarsky’s bounded variation(BV) approach to the ergodic properties of expanding transformations, and analysies the convergence of Ulam’s method for the numerical approximation of absolutely continuous invariant measures ...
Murray, Rua
core   +2 more sources

Invariance-Like Theorems and “lim inf” Convergence Properties [PDF]

open access: yesIEEE Transactions on Automatic Control, 2016
Several theorems, inspired by the Krasovskii-LaSalle invariance principle, to establish “lim inf” convergence results are presented in a unified framework. These properties are useful to “describe” the oscillatory behavior of the solutions of dynamical systems. The theorems resemble “lim inf” Matrosov and Small-gain theorems and are based on a “lim inf”
Scarciotti, G   +2 more
openaire   +4 more sources

Lupaş post quantum Bernstein operators over arbitrary compact intervals

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan   +3 more
doaj   +1 more source

Asymptotically J_σ-Equivalence of Sequences of Sets

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (WLJσ) ,Wijsman asymptotically strongly p-invariant equivalence([WLVσ)]p) and Wijsman asymptotically J*-invariant equivalence(WLJ*σ).
Uğur Ulusu, Esra Gülle
doaj   +1 more source

Convergence Results for Invariant Curve Algorithms [PDF]

open access: yesMathematics of Computation, 1988
In this paper a convergence result for the algorithm described by Kevrekidis et al. [7] is given. It is shown that this algorithm for the approximation of an invariant curve converges provided the curve is attracting. The approximation error is estimated.
openaire   +2 more sources

Convergence Groups are not Invariably Generated [PDF]

open access: yesInternational Mathematics Research Notices, 2014
It was conjectured in [KLS14] that non-elementary word hyperbolic groups are never invariably generated. We show that this is indeed the case even for the much larger class of convergence groups.
openaire   +2 more sources

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