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Local convergence analysis for Chebyshev’s method
Journal of Applied Mathematics and Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumari, Chandni, Parida, P. K.
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Local Convergences and Optimal Shape Design
SIAM Journal on Control and Optimization, 1992In this study of domain optimization the functionals to be minimized are usually defined on various spaces. This causes an essential difficulty in establishing the existence for the optimal domains. In the existing research work an original domain optimization problem is normally transformed in order to get around this difficulty.
Liu, Wenbin, Rubio, J. E.
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When weak and local measure convergence implies norm convergence
Journal of Mathematical Analysis and Applications, 2019The paper addresses generalizations of the basic fact that, in \(L^1[0,1]\), a sequence converges in norm if (and only if) it converges simultaneously in the weak and in the measure topology. If the underlying measure \(\mu\) is only \(\sigma\)-finite, then the statement remains valid if convergence in measure is replaced by local measure convergence ...
A. Bikchentaev, F. Sukochev
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Local Convergence of Inexact Newton Methods
SIAM Journal on Numerical Analysis, 1984Let \(D\subset {\mathbb{R}}^ m\) and \(F: D\to {\mathbb{R}}^ m\) be a mapping. The author studies the approximate solution of the equation \(F(x)=0\) by means of the iterative method for \(n=0,1,2,....:\) (*) \(x_{n+1}:=x_ n+s_ n\in {\mathbb{R}}^ m\) with \(s_ n\) from \(F'(x_ n)s_ n=-F(x_ n)+r_ n\) for some sequence \(\{r_ n\}\subset R^ m\).
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Is Local Government Spending Converging?
Eastern Economic Journal, 2007A substantial body of theoretical and empirical evidence demonstrates that interregional competition for factors of production leads to convergence of per capita output. Is there an analogous process that leads to convergence of public sector activity? Skidmore et al.
Mark Skidmore, Steven Deller
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Local spectral properties and $$\nu $$-convergence
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soufiane Hadji, Hassane Zguitti
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Local convergence of 'globally convergent' blind adaptive equalization algorithms
[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991It is shown, through the analysis of nullspace for the channel convolution matrix, that the behavior of a finitely parameterized Godard equalizer in general can never achieve or approximate the desirable global convergence performance of an infinitely parameterized noncausal Godard equalizer.
Z. Ding, C.R. Johnson, R.A. Kennedy
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2010
Proving convergence of the various optimization algorithms is a delicate exercise. In general, it is helpful to consider local and global convergence patterns separately. The local convergence rate of an algorithm provides a useful benchmark for comparing it to other algorithms. On this basis, Newton’s method wins hands down. However, the tradeoffs are
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Proving convergence of the various optimization algorithms is a delicate exercise. In general, it is helpful to consider local and global convergence patterns separately. The local convergence rate of an algorithm provides a useful benchmark for comparing it to other algorithms. On this basis, Newton’s method wins hands down. However, the tradeoffs are
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Local uniform convergence and convergence of Julia sets
Nonlinearity, 1995Let \(f\) be an entire function and denote by \(F_f\) the Fatou set and by \(J_f\) the Julia set of \(f\). Let \((f_n)\) be a sequence of entire functions which converges locally uniformly to \(f\). Theorem 1 says that if \(F_f\) consists only of basins of attracting cycles or if \(F_f\) is empty, then \(J_{f_n}\) converges to \(J_f\) in the Hausdorff ...
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Convergence of Local Minimizers
2013The fundamental theorem of Γ-convergence can be generalized when we have strict local minimizers of the Γ-limit, in which case we are often able to deduce the existence and convergence of local minimizers of the converging sequence. This version of the fundamental theorem of Γ-convergence can be coupled with scaling arguments, which may give existence ...
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