Results 211 to 220 of about 1,062,749 (259)
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Fixed-Point Methods in Nonlinear Control
IMA Journal of Mathematical Control and Information, 1988Using the fixed point approach many different problems in control theory are studied. Several results concerning controllability, observability, parameter estimation and adaptive regulation for the so called ``semilinear'' dynamical systems are presented. All the results described make use of the various types of fixed point theorems. The importance of
Carmichael, N., Quinn, M. D.
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1998
In this somewhat technical section we look at the theory of fibrewise ENRs and ANRs. The results are mostly due to Dold [47]. Our restriction to base spaces which are ENRs allows us to simplify the exposition at several points. We begin with a discussion of some of the properties of ENRs and ANRs which we have already used in earlier sections.
Michael Charles Crabb +1 more
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In this somewhat technical section we look at the theory of fibrewise ENRs and ANRs. The results are mostly due to Dold [47]. Our restriction to base spaces which are ENRs allows us to simplify the exposition at several points. We begin with a discussion of some of the properties of ENRs and ANRs which we have already used in earlier sections.
Michael Charles Crabb +1 more
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Fixed-Point Quasi-Newton Methods
SIAM Journal on Numerical Analysis, 1992This paper studies iterative methods of the form (1) \(x_{k+1}=\Phi(x_ k,E_ k)\) where \(x_ k\in\mathbb{R}^ n\), and \(E_ k\) belongs to some parameter space. Three examples of methods which may be written in this form are given, namely quasi-Newton methods for nonlinear systems, sequential quadratic programming and nonlinear complementarity.
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A Fixed Point Method for Finding Percentage Points
Applied Statistics, 1991Summary: Iterative methods for finding accurate estimates of percentage points are usually based on numerical root finding techniques applied to the distribution function. In this paper we take a different approach by creating an auxiliary function, whose fixed point is shown to be the desired percentage point, and then applying Steffenson's ...
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Extensions of the Fix-Point Method II: The Recursive Fix-Point Method
Économie appliquée, 1973Bodin Lennart. Extensions of the Fix-Point Method II: The Recursive Fix-Point Method. In: Économie appliquée, tome 26 n°2-4,1973. pp. 583-607.
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On the Fixed Point Method and Bloch’s Theorem
Michigan Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sandwich method for finding fixed points
Journal of Optimization Theory and Applications, 1975The sandwich method is a technique which uses simplicial subdivision to compute Brouwer fixed points and solve related problems, such as finding general economic equilibria. This paper presents a self-contained account of the sandwich method. It introduces the basic concepts of simplicial subdivision and the process ofsandwiching, demonstrates the ...
Kuhn, H. W., MacKinnon, J. G.
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Interval methods for fixed-point problems
Numerical Functional Analysis and Optimization, 1987Interval analysis is applied to the fixed-point problem x=ϕ(x) for continuous ϕ:S→S, where the space S is constructed from Cartesian products of the set R of real numbers, with componentwise definitions of arithmetic operations, ordering, and the product topology. With the aid of an interval inclusion φ:IS → IS in the interval space IS corresponding to
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The fixed point method in analysis.
1936zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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