Ditemukan 9 dokumen yang sesuai dengan query
New York: Springer-Verlag, 1994
511.4 REC
Buku Teks Universitas Indonesia Library
Kelley, C.T.
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This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A ...
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Philadelphia: Society for Industrial and Applied Mathematics, 1999
e20450656
eBooks Universitas Indonesia Library
Greenbaum, Anne
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Much recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods. The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles ...
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Philadelphia : Society for Industrial and Applied Mathematics, 1997
e20442791
eBooks Universitas Indonesia Library
Saad, Yousef
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Iterative Methods for Sparse Linear Systems, Second Edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
This new edition includes a wide range of the best methods available today. The ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2000
e20443092
eBooks Universitas Indonesia Library
Hansen, Per Christian
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This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and on the efficiency and reliability of the computations. The setting is that of numerical linear algebra rather than abstract functional analysis, and the theoretical development is complemented with numerical examples and figures that illustrate the features of the various ...
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Philadelphia: Society for Industrial and Applied Mathematics, 1998
e20448498
eBooks Universitas Indonesia Library
Can, Raymond Hon-Fu, 1958-
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Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, including numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing.
This practical book introduces current developments in using iterative methods for solving Toeplitz systems based on the preconditioned conjugate gradient method. The authors ...
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Philadelphia: Society for Industrial and Applied Mathematics, 2007
e20448917
eBooks Universitas Indonesia Library
Barrett, Richard
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In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire.
Templates offer three distinct advantages: they are general ...
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Philadelphia: Society for Industrial and Applied Mathematics, 1994
e20451226
eBooks Universitas Indonesia Library
Ortega, James M., 1932-
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Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time.
Although the field has developed since the book originally appeared, it remains a major background reference for the literature before 1970. In particular, Part II contains ...
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Philadelphia: Society for Industrial and Applied Mathematics, 2000
e20451252
eBooks Universitas Indonesia Library
Kelley, C.T.
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This brief book on Newton method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. Solving Nonlinear Equations with Newton's Method contains trouble-shooting guides to the major algorithms, their most common failure modes, and ...
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Philadelphia: Society for Industrial and Applied Mathematics, 2003
e20448500
eBooks Universitas Indonesia Library
