Exploiting BiCGstab($\ell$) Strategies to Induce Dimension Reduction
نویسندگان
چکیده
منابع مشابه
Exploiting BiCGstab(ℓ) Strategies to Induce Dimension Reduction
IDR(s) [P. Sonneveld and M. B. van Gijzen, SIAM J. Sci. Comput., 31 (2008), pp. 1035–1062] and BiCGstab( ) [G. L. G. Sleijpen and D. R. Fokkema, Electron. Trans. Numer. Anal., 1 (1993), pp. 11–32] are two of the most efficient short-recurrence iterative methods for solving large nonsymmetric linear systems of equations. Which of the two is best depends on the specific problem class. In this pap...
متن کاملDELFT UNIVERSITY OF TECHNOLOGY REPORT 09-02 Exploiting BiCGstab(l) strategies to induce dimension reduction
IDR(s) [9] and BiCGstab(l) [5] are two of the most efficient short recurrence iterative methods for solving large nonsymmetric linear systems of equations. Which of the two is best depends on the specific problem class. In this paper we derive a new method, that we call IDRstab, that that combines the strengths of IDR(s) and BiCGstab(l). To derive IDRstab we extend the results that we reported ...
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The “curse of dimensionality” refers to various phenomena that arise when analyzing and organizing data in high dimensions. For example, the solution to nearest neighbor problem grows exponentially with the dimension. Therefore dimension reduction, the process of representing data in lower dimensions while preserving the essential properties, is very useful. Common techniques include Singular V...
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We provide a novel and completely different approach to dimension-reduction problems from the existing literature. We cast the dimension-reduction problem in a semiparametric estimation framework and derive estimating equations. Viewing this problem from the new angle allows us to derive a rich class of estimators, and obtain the classical dimension reduction techniques as special cases in this...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2010
ISSN: 1064-8275,1095-7197
DOI: 10.1137/090752341