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Parallel algorithms for linear models : numerical methods and estimation problems

Author: Erricos John Kontoghiorghes
Publisher: Boston : Kluwer Academic, ©2000.
Series: Advances in computational economics, v. 15.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems."
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Erricos John Kontoghiorghes
ISBN: 0792377206 9780792377207
OCLC Number: 42753455
Description: xvii, 182 pages : illustrations ; 25 cm.
Contents: 1. Linear Models and QR Decomposition. Linear model specification. Forming the QR decomposition. Data parallel algorithms for computing the QR decomposition. QRD of large and skinny matrices. QRD of a set of matrices --
2. OLM Not of Full Rank. The QLD of the coefficient matrix. Triangularizing the lower trapezoid. Computing the orthogonal matrices. Discussion --
3. Updating and Downdating the OLM. Adding observations. Adding exogenous variables. Deleting observations. Deleting exogenous variables --
4. The General Linear Model. Parallel algorithms. Implementation and performance analysis --
5. Sure Models. The generalized linear least squares method. Triangular SURE models. Covariance restrictions --
6. Simultaneous Equations Models.
Series Title: Advances in computational economics, v. 15.
Responsibility: by Erricos John Kontoghiorghes.
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Abstract:

The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and  Read more...

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