Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
نویسندگان
چکیده
منابع مشابه
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor
An iterative method for finding the largest eigenvalue of a nonnegative tensor was proposed by Ng, Qi, and Zhou in 2009. In this paper, we establish an explicit linear convergence rate of the Ng–Qi–Zhou method for essentially positive tensors. Numerical results are given to demonstrate linear convergence of the Ng–Qi–Zhou algorithm for essentially positive tensors. Copyright © 2011 John Wiley &...
متن کاملA new S-type upper bound for the largest singular value of nonnegative rectangular tensors
By breaking [Formula: see text] into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones. Numerical examples are given to verify the theoretical results.
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Article history: Received 19 July 2012 Accepted 18 September 2013 Available online 18 October 2013 Submitted by E. Tyrtyshnikov MSC: 74B99 15A18 15A69
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.06.038