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1993•International Journal of Parallel Emergent and Distributed SystemsRequires access

SOLVING THE UPDATED AND DOWNDATED ORDINARY LINEAR MODEL ON MASSIVELY PARALLEL SIMD SYSTEMS

Erricos John Kontoghiorghes, Mairi Clarke

Open publisher page 17 citations

Abstract

Several algorithms have appeared for solving the Ordinary Linear Model (OLM), after a number of observations have been added or deleted. In this paper we employ Householder transformations and Givens rotations to solve the updated and downdated OLM, using a massively parallel SIMD computer. Some of our methods are modified versions of serial algorithms published previously while others appear for the first time. The execution time models of all algorithms are studied and compared.

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What this paper is about

Several algorithms have appeared for solving the Ordinary Linear Model (OLM), after a number of observations have been added or deleted. In this paper we employ Householder transformations and Givens rotations to solve the updated and downdated OLM, using a massively parallel SIMD computer. Some of our methods are modified versions of serial algorithms published previously while others appear for the first time. The execution time models of all algorithms are studied and compared.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Several algorithms have appeared for solving the Ordinary Linear Model (OLM), after a number of observations have been added or deleted. In this paper we employ Householder transformations and Givens rotations to solve the updated and downdated OLM, using a massively parallel SIMD computer. Some of our methods are modified versions of serial algorithms published previously while others appear for the first time. The execution time models of all algorithms are studied and compared.

Key concepts: SIMD, Massively parallel, Computer science, Parallel computing

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