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Computation of the Singular Value Decomposition Using Mesh-Connected Processors

Richard P. Brent, Franklin T. Luk, Charles Van Loan

Open publisher page 181 citations

Abstract

A cyclic Jacobi method for computing the singular value decomposition of an $mxn$ matrix $(m \geq n)$ using systolic arrays is proposed. The algorithm requires $O(n^{2})$ processors and $O(m + n \log n)$ units of time.

About this research paper

What this paper is about

A cyclic Jacobi method for computing the singular value decomposition of an $mxn$ matrix $(m \geq n)$ using systolic arrays is proposed. The algorithm requires $O(n^{2})$ processors and $O(m + n \log n)$ units of time.

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OpenAlex reports 181 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A cyclic Jacobi method for computing the singular value decomposition of an $mxn$ matrix $(m \geq n)$ using systolic arrays is proposed. The algorithm requires $O(n^{2})$ processors and $O(m + n \log n)$ units of time.

Key concepts: Singular value decomposition, Computation, Decomposition, Parallel computing, Value (mathematics), Singular value, Matrix (chemical analysis), Computer science

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