A Study of the Convergence Rate of a Multilevel Newton Algorithm PDF Download
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Author: Pen-Min Lin
Publisher:
ISBN:
Category : Computer algorithms
Languages : en
Pages : 72
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Book Description
Author: Pen-Min Lin
Publisher:
ISBN:
Category : Computer algorithms
Languages : en
Pages : 72
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Book Description
Author: P. M. de Zeeuw
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Author: Randolph Bank
Publisher: Birkhäuser
ISBN: 3034885288
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Progress in today's high-technology industries is strongly associated with the development of new mathematical tools. A typical illustration of this partnership is the mathematical modelling and numerical simulation of electric circuits and semiconductor devices. At the second Oberwolfach conference devoted to this important and timely field, scientists from around the world, mainly applied mathematicians and electrical engineers from industry and universities, presented their new results. Their contributions, forming the body of this work, cover electric circuit simulation, device simulation and process simulation. Discussions on experiences with standard software packages and improvements of such packages are included. In the semiconductor area special lectures were given on new modelling approaches, numerical techniques and existence and uniqueness results. In this connection, mention is made, for example, of mixed finite element methods, an extension of the Baliga-Patankar technique for a three dimensional simulation, and the connection between semiconductor equations and the Boltzmann equations.
Author: Louis B. Rall
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 12
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Book Description
Given an operator P in a Banach space X with Lipschitz continuous derivative P primed, it is shown that the existence of 1/(P primed (x + 1)) is necessary and sufficient to predict on the basis of the theorem of L.V. Kantorovic that the Newton sequence x sub (n + 1) = (x sub n) - P(x sub n)/(P primed(s sub n)) will converge to a solution x of the equation P(x) = o quadratically. Some examples are given of convergent Newton sequences for which convergence and the rate of convergence cannot be predicted by the Kantorovic theorem. (Author).
Author: J. Barzilai
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 10
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Book Description
Author: Steven P. Reise
Publisher: Psychology Press
ISBN: 1135655359
Category : Psychology
Languages : en
Pages : 332
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Book Description
This book illustrates the current work of leading multilevel modeling (MLM) researchers from around the world. The book's goal is to critically examine the real problems that occur when trying to use MLMs in applied research, such as power, experimental design, and model violations. This presentation of cutting-edge work and statistical innovations in multilevel modeling includes topics such as growth modeling, repeated measures analysis, nonlinear modeling, outlier detection, and meta analysis. This volume will be beneficial for researchers with advanced statistical training and extensive experience in applying multilevel models, especially in the areas of education; clinical intervention; social, developmental and health psychology, and other behavioral sciences; or as a supplement for an introductory graduate-level course.
Author: J. Barzilai
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 13
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Book Description
We prove that the rate of convergence of quasi-Newton methods is the golden section ratio (1 + square root of 5)/2. (Author).
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 490
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Book Description
Author: Louis A. Hageman
Publisher: Elsevier
ISBN: 1483294374
Category : Mathematics
Languages : en
Pages : 409
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Book Description
Applied Iterative Methods
Author: Youssef Benadada
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 8
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Book Description
Abstract: "We analyze the convergence of a generalization of Newton's method for finding the root of the equation [Theta](t) = 0 in the case where [Theta] is monotone, convex but not differentiable. We prove that the convergence is superlinear and only superlinear. Indeed for all [alpha] [in] (1,2), we exhibit an example where the convergence of the iterates is exactly [alpha].
