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Fixed Point Iterations Via Linear MappingsSome of the next articles are maybe not open access.
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Jackknifing fixed points of iterations
Biometrika, 1987The jackknife method for estimating the dispersion of a statistic T, considered as an estimator of a p-dimensional vector of parameters, can be modified so as to become computationally feasible for the class of statistics that are obtained as limits of iterative processes. Examples are given to show how the method can be applied to the EM algorithm and
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Iterative construction of fixed points
Numerical Functional Analysis and Optimization, 1996Abstract, It is proved that an Ishikawa—type iteration scheme converges to the fixed point of a generalized contraction map in a convex metric space. The class of generalized contraction maps includes all quasi—contraction maps.
S.N. Mishra, A.K. Kalinde
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Random Relaxation of Fixed-Point Iteration
SIAM Journal on Scientific Computing, 1996The author considers a stochastic fixed-point iteration where each coordinate is updated with a certain probability and otherwise left unchanged. The iteration is interesting from the viewpoint of parallel distributed computation because the realized sequences belong to the class of asynchronous fixed-point iterations.
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Journal of Applied Probability, 1975
An exposition is given of the properties of the iterates of complex functions near a fixed point, with explicit expressions for their power series in certain cases. The relevance to problems in genetics and statistics is pointed out.
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An exposition is given of the properties of the iterates of complex functions near a fixed point, with explicit expressions for their power series in certain cases. The relevance to problems in genetics and statistics is pointed out.
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Angle Trisection by Fixed Point Iteration
The College Mathematics Journal, 1995L. Felipe Martins obtained his mathematical education at Federal University of Rio Grande do Sul, Brazil (B.Sc. and M.Sc.), and Brown University (Ph.D.) and is currently a faculty member at Cleveland State University. His research concentrates on approximation methods for stochastic control problems.
L. F. Martins, I. W. Rodrigues
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1992
Iteration seems to play a fundamental role in learning theory - as everywhere else. Since neurons need a rather long time to reach a stable state, Caianiello's Paradox suggests that special actions cause the iteration of state transitions until a stable neural state is reached. Now, a stable state is a fixed point for any transition function; so we may
G. Germano, MAZZANTI, STEFANO
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Iteration seems to play a fundamental role in learning theory - as everywhere else. Since neurons need a rather long time to reach a stable state, Caianiello's Paradox suggests that special actions cause the iteration of state transitions until a stable neural state is reached. Now, a stable state is a fixed point for any transition function; so we may
G. Germano, MAZZANTI, STEFANO
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Iterative eigensolver using fixed-point photonic primitive
Optics LettersPhotonic computing has potential advantages in speed and energy consumption yet is subject to inaccuracy due to the limited equivalent bitwidth of the analog signal. In this Letter, we demonstrate a configurable, fixed-point coherent photonic iterative solver for numerical eigenvalue problems using shifted inverse iteration. The
Andrew B. Klein +4 more
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