Projection-iterative Methods for Solution of Operator Equations
Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
Published: 1976
Total Pages: 204
ISBN-13: 9780821815960
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Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
Published: 1976
Total Pages: 204
ISBN-13: 9780821815960
DOWNLOAD EBOOKAuthor: N. S. Kurpel'
Publisher:
Published: 1978
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Nikolai S. Kurpel'
Publisher:
Published: 1976
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Nikolaj Stepanovič Kurpel'
Publisher:
Published: 1976
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Yousef Saad
Publisher: SIAM
Published: 2003-04-01
Total Pages: 537
ISBN-13: 0898715342
DOWNLOAD EBOOKMathematics of Computing -- General.
Author: W.M., III. Patterson
Publisher: Springer
Published: 2006-11-15
Total Pages: 187
ISBN-13: 3540384553
DOWNLOAD EBOOKIn 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.
Author: Juan R. Torregrosa
Publisher: MDPI
Published: 2019-12-06
Total Pages: 494
ISBN-13: 3039219405
DOWNLOAD EBOOKSolving 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.
Author: Walter Mead Patterson
Publisher: Lecture Notes in Mathematics
Published: 1974-07-22
Total Pages: 202
ISBN-13:
DOWNLOAD EBOOKIn 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.
Author: Nguyen Minh Chuong
Publisher:
Published: 1989
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Are Magnus Bruaset
Publisher: Routledge
Published: 2018-12-13
Total Pages: 175
ISBN-13: 1351469371
DOWNLOAD EBOOKThe 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