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On the Local Convergence of Update Methods
SIAM Journal on Numerical Analysis, 1974This paper concerns a class of update methods, or, as they are also called, quasi-Newton methods, variable metric methods, or modification methods. A general theory of rank-one and symmetric rank-two update formulas is presented which covers many of the special methods proposed in the literature.
Rheinboldt, Werner C. +1 more
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On the local convergence of Newton’s method under generalized conditions of Kantorovich [PDF]
Applied Mathematics Letters, 2013 Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convergence result for Newton's method under generalized conditions of Kantorovich type. © 2013 Elsevier Ltd.
M A Hernández, J A Ezquerro
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Parameter convergence in source localization
2016 IEEE Conference on Control Applications (CCA), 2016A source localization problem which is nonlinear is converted to a structured-noise linear problem. An algorithm is proposed and its convergence has been established.
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2015 9th International Conference on Application of Information and Communication Technologies (AICT), 2015
Improvements in information and communication technologies have evolved the way of traditional broadcasting. This evolvement is currently being experienced in press, eliminating the specific and clear lines of every kind of medium. Changing news production/distribution process as well as readers' consumption tendencies have brought up some kind of ...
Ozhan Tingoy +2 more
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Improvements in information and communication technologies have evolved the way of traditional broadcasting. This evolvement is currently being experienced in press, eliminating the specific and clear lines of every kind of medium. Changing news production/distribution process as well as readers' consumption tendencies have brought up some kind of ...
Ozhan Tingoy +2 more
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Local convergence in Fermat's problem
Mathematical Programming, 1974The general Fermat problem is to find the minimum of the weighted sum of distances fromm destination points in Euclideann-space. Kuhn recently proved that a classical iterative algorithm converges to the unique minimizing point , for any choice of the initial point except for a denumerable set.
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Stochastic localization of sources with convergence guarantees
2013 European Control Conference (ECC), 2013We establish convergence guarantees for a recently proposed Markov Chain Monte Carlo (MCMC) method to locate source(s) of a certain concentration field. Our method utilizes a Markovian controller to control the motion of autonomous vehicles on a compact search domain.
Stephan M. Huck, John Lygeros
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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.
Zhi Ding 0001 +2 more
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A Proof of Local Convergence for the Adam Optimizer
2019 International Joint Conference on Neural Networks (IJCNN), 2019Adaptive Moment Estimation (Adam) is a very popular training algorithm for deep neural networks, implemented in many machine learning frameworks. To the best of the authors knowledge no complete convergence analysis exists for Adam. The contribution of this paper is a method for the local convergence analysis in batch mode for a deterministic fixed ...
Sebastian Bock, Martin Georg Weiß
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On the local convergence of adjoint Broyden methods
Mathematical Programming, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sebastian Schlenkrich +2 more
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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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