Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

Guanglu Zhou; Louis Caccetta; Liqun Qi

doi:10.1016/j.laa.2011.06.038

Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

Guanglu Zhou, Louis Caccetta, Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

27 Citations (Scopus)

Abstract

In this paper, we present an iterative algorithm for computing the largest singular value of a nonnegative rectangular tensor. We establish the convergence of this algorithm for any irreducible nonnegative rectangular tensor.

Original language	English
Pages (from-to)	959-968
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	438
Issue number	2
DOIs	https://doi.org/10.1016/j.laa.2011.06.038
Publication status	Published - 15 Jan 2013

Keywords

Convergence
Iterative method
Nonnegative tensor
Singular value

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics
Geometry and Topology
Numerical Analysis

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10.1016/j.laa.2011.06.038

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abstract = "In this paper, we present an iterative algorithm for computing the largest singular value of a nonnegative rectangular tensor. We establish the convergence of this algorithm for any irreducible nonnegative rectangular tensor.",

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AU - Caccetta, Louis

AU - Qi, Liqun

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KW - Convergence

KW - Iterative method

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Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

Abstract

Keywords

ASJC Scopus subject areas

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