Results 11 to 20 of about 333,390 (187)
Cubically Convergent Iterations for Invariant Subspace Computation [PDF]
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
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Symmetry-preserving Observers [PDF]
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.
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Convergence of Invariant Graph Networks
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
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A New Newton Method with Memory for Solving Nonlinear Equations
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
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Existence, mixing and approximation of invariant densities for expanding maps on Rr [PDF]
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
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Invariance-Like Theorems and “lim inf” Convergence Properties [PDF]
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
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Lupaş post quantum Bernstein operators over arbitrary compact intervals
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
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Asymptotically J_σ-Equivalence of Sequences of Sets
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
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Convergence Results for Invariant Curve Algorithms [PDF]
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.
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Convergence Groups are not Invariably Generated [PDF]
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.
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