Projection-iterative Methods for Solution of Operator Equations

Projection-iterative Methods for Solution of Operator Equations PDF Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
ISBN: 9780821815960
Category : Mathematics
Languages : en
Pages : 204

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Projection-iterative Methods for Solution of Operator Equations

Projection-iterative Methods for Solution of Operator Equations PDF Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
ISBN: 9780821815960
Category : Mathematics
Languages : en
Pages : 204

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Projection-iterative Methods for Solution of Operator Equations

Projection-iterative Methods for Solution of Operator Equations PDF Author: N. S. Kurpel'
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Projection-iterative Methods for Solution of Operator Equations

Projection-iterative Methods for Solution of Operator Equations PDF Author: Nikolai S. Kurpel'
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Projection-iterative methods for solution of operator equations (Proekoionno-iterativnye metody rešenija operatornych uravnenij, engl. - Trnasl. from the Russian by Israel Program for Sceintif. Transl Trnasl. ed. by R[onald] G. douglas)

Projection-iterative methods for solution of operator equations (Proekoionno-iterativnye metody rešenija operatornych uravnenij, engl. - Trnasl. from the Russian by Israel Program for Sceintif. Transl Trnasl. ed. by R[onald] G. douglas) PDF Author: Nikolaj Stepanovič Kurpel'
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Category :
Languages : en
Pages :

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Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space

Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space PDF Author: W.M., III. Patterson
Publisher: Springer
ISBN: 3540384553
Category : Mathematics
Languages : en
Pages : 187

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Book Description
In this expository work we shall conduct a survey of iterative techniques for solving the linear operator equations Ax=y in a Hilbert space. Whenever convenient these iterative schemes are given in the context of a complex Hilbert space -- Chapter II is devoted to those methods (three in all) which are given only for real Hilbert space. Thus chapter III covers those methods which are valid in a complex Hilbert space except for the two methods which are singled out for special attention in the last two chapters. Specifically, the method of successive approximations is covered in Chapter IV, and Chapter V consists of a discussion of gradient methods. While examining these techniques, our primary concern will be with the convergence of the sequence of approximate solutions. However, we shall often look at estimates of the error and the speed of convergence of a method.

Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems PDF Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537

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Mathematics of Computing -- General.

Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space

Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space PDF Author: Walter Mead Patterson
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 202

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Book Description
In this expository work we shall conduct a survey of iterative techniques for solving the linear operator equations Ax=y in a Hilbert space. Whenever convenient these iterative schemes are given in the context of a complex Hilbert space -- Chapter II is devoted to those methods (three in all) which are given only for real Hilbert space. Thus chapter III covers those methods which are valid in a complex Hilbert space except for the two methods which are singled out for special attention in the last two chapters. Specifically, the method of successive approximations is covered in Chapter IV, and Chapter V consists of a discussion of gradient methods. While examining these techniques, our primary concern will be with the convergence of the sequence of approximate solutions. However, we shall often look at estimates of the error and the speed of convergence of a method.

Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems PDF Author: Juan R. Torregrosa
Publisher: MDPI
ISBN: 3039219405
Category : Mathematics
Languages : en
Pages : 494

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Book Description
Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Projection-iteration Methods for Solving Nonlinear Operator Equations

Projection-iteration Methods for Solving Nonlinear Operator Equations PDF Author: Nguyen Minh Chuong
Publisher:
ISBN:
Category :
Languages : en
Pages :

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A Survey of Preconditioned Iterative Methods

A Survey of Preconditioned Iterative Methods PDF Author: Are Magnus Bruaset
Publisher: Routledge
ISBN: 1351469371
Category : Mathematics
Languages : en
Pages : 175

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Book Description
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w