Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor

Liping Zhang

Front. Math. China ›› 2012, Vol. 8 ›› Issue (1) : 141 -153.

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Front. Math. China ›› 2012, Vol. 8 ›› Issue (1) : 141 -153. DOI: 10.1007/s11464-012-0260-z
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RESEARCH ARTICLE

Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor

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Abstract

An algorithm for finding the largest singular value of a nonnegative rectangular tensor was recently proposed by Chang, Qi, and Zhou [J. Math. Anal. Appl., 2010, 370: 284–294]. In this paper, we establish a linear convergence rate of the Chang-Qi-Zhou algorithm under a reasonable assumption.

Keywords

Singular value / nonnegative tensor / rectangular tensor / algorithm / convergence

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Liping Zhang. Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor. Front. Math. China, 2012, 8(1): 141-153 DOI:10.1007/s11464-012-0260-z

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