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Applied Mathematics and Computation, 2007
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Arif Rafiq +3 more
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Arif Rafiq +3 more
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An Adaptive Chebyshev Iterative Method
Mathematical Models and Computer Simulations, 2018The authors construct an adaptive iterative method of Chebyshev type in order to solve large systems of linear algebraic equations. These systems appear by applying some multigrid methods to 3D linear and self-adjoint elliptic boundary value problems. The algebraic systems inherit the properties of the problems.
Zhukov, V. T. +2 more
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Padé iteration method for regularization
Applied Mathematics and Computation, 2006For the linear operator equation \(Kx=y\) with a compact operator \(K\) acting on an infinite dimensional Hilbert space iterative regularization methods of the form \[ x_{i+1}=(I-\omega T^{-1}K^*K)x_i+\omega K^*y, \quad i=0,1,2,..., \] are considered.
Andreas Kirsche, Christine Böckmann
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Comparisons of Block Iterative Methods
Annals of Operations Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Multilevel Adaptive Iterative Method
SIAM Journal on Scientific Computing, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asynchronous Iterative Methods for Multiprocessors
Journal of the ACM, 1978Abstract : A class of asynchronous iterative methods is presented for solving a system of equations. Existing iterative methods are identified in terms of asynchronous iterations, and new schemes are introduced corresponding to a parallel implementation on a multiprocessor system with no synchronization between cooperating processes.
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1994
This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for ...
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This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for ...
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1972
One of the problems which arise from the increasing use of multiprocessing is the efficient utilization of all the processors. If the solution of a problem requires T units of time when only one processor is used, it is hoped that using k processor will require only T/k units of time.
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One of the problems which arise from the increasing use of multiprocessing is the efficient utilization of all the processors. If the solution of a problem requires T units of time when only one processor is used, it is hoped that using k processor will require only T/k units of time.
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Iterative Sequences of the Localization Method
Differential EquationsThe conditions of positive invariance and compactness of localizing sets and extended localizing sets are proved. The necessary condition for the existence of an attractor in the system is obtained. The concept of an iterative sequence of extended localizing sets is introduced and a condition is obtained under which its elements are positively ...
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