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Call Number
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512.9/42
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Author
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Brezinski, Claude, 1941-
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Title
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Projection methods for systems of equations [electronic resource] / Claude Brezinski.
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Publication
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Amsterdam ; New York : Elsevier Science, 1997.
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Material Info.
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vii, 400 p. : ill. ; 25 cm.
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Series
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Studies in computational mathematics ; 7
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Summary Note
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The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms.<P>The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation <IT>Ax = b</IT> by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems.<P>The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.
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Notes
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Includes bibliographical references (p. 341-390) and index.
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Notes
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Introduction. 1. Preliminaries. 2. Biorthogonality. 3. Projection Methods for Linear Systems. 4. Lanczos-Type Methods. 5. Hybrid Procedures. 6. Semi-Iterative Methods. 7. Around Richardson's Projection. 8. System of Nonlinear Equations. Appendix. Schur's complement. Sylvester's and Schweins' identities. Bibliography. Index.
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Notes
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Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
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ISBN
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9780444827777
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ISBN
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0444827773
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Subject
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Equations, Simultaneous Numerical solutions.
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Subject
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Iterative methods (Mathematics)
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Subject
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Lineaire vergelijkingen.
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Subject
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Projectiemethoden (wiskunde)
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Subject
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Electronic books.
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Added Entry
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ScienceDirect (Online service)
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Date
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Year, Month, Day:01405141
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Link
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An electronic book accessible through the World Wide Web; click for information ScienceDirect
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Link
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Publisher description
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Link
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Table of contents only
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