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Titlebook: Computer Algorithms for Solving Linear Algebraic Equations; The State of the Art Emilio Spedicato Conference proceedings 1991 Springer-Verl

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發(fā)表于 2025-3-21 19:39:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Computer Algorithms for Solving Linear Algebraic Equations
副標(biāo)題The State of the Art
編輯Emilio Spedicato
視頻videohttp://file.papertrans.cn/234/233428/233428.mp4
叢書名稱NATO ASI Subseries F:
圖書封面Titlebook: Computer Algorithms for Solving Linear Algebraic Equations; The State of the Art Emilio Spedicato Conference proceedings 1991 Springer-Verl
描述The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods us
出版日期Conference proceedings 1991
關(guān)鍵詞Algebraische Gleichung; Linear algebraic equations; Lineare kleinste Quadrate; Optimierung; algorithm; al
版次1
doihttps://doi.org/10.1007/978-3-642-76717-3
isbn_softcover978-3-642-76719-7
isbn_ebook978-3-642-76717-3Series ISSN 0258-1248
issn_series 0258-1248
copyrightSpringer-Verlag Berlin Heidelberg 1991
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978-3-642-76719-7Springer-Verlag Berlin Heidelberg 1991
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Die Demokratisierung in Südeuroparbitrary .th-order real vector. By “direct methods” we mean methods that would, in the absence of rounding error, give an exact solution of equation (1.1) in a finite number of arithmetic operations. Since in linear algebra computations an addition or subtraction is normally preceded by a multiplica
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Paul J. J. Welfens,Andreas Schwarzin sciences and engineering. Naturally, the solution algorithms are devised so as to decrease the amount of such resources spent, that is, to decrease the estimated computational complexity of the solution.
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Systemoptimierung im Betriebsablauf,t pivoting is presented and a short proof of its existence for this class of matrices is given. Different approximations of the inverse of the pivot matrix can be used in different block matrix columns..The present existence result generalizes previous results known for .-matrices and point-wise .-m
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Anforderungen an die Planung von Systemen,parallel preconditioners for the conjugate gradient method. We describe different kinds of methods with overlapping and non overlapping sub domains as well as methods for finite elements approximations and also purely algebraic preconditioners.
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Procedural Statements and Routines,lacements method with an additive preconditioner for solving large sparse systems of linear equations. This method converges for systems with coefficient matrices that are symmetric positive definite or irreducible L-matrices with a strong diagonal dominance..In the case in which the coefficient mat
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