Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/8781
Title: Linear convergence of the LZI algorithm for weakly positive tensors
Authors: Zhang, L
Qi, L 
Xu, Y
Issue Date: 2012
Source: Journal of computational mathematics, 2012, v. 30, no. 1, p. 24-33
Abstract: We define weakly positive tensors and study the relations among essentially positive tensors, weakly positive tensors, and primitive tensors. In particular, an explicit linear convergence rate of the Liu-Zhou-Ibrahim(LZI) algorithm for finding the largest eigenvalue of an irreducible nonnegative tensor, is established for weakly positive tensors. Numerical results are given to demonstrate linear convergence of the LZI algorithm for weakly positive tensors.
Keywords: Irreducible nonnegative tensor
Largest eigenvalue
Linear convergence
Weakly positive tensor
Journal: Journal of Computational Mathematics 
ISSN: 0254-9409
DOI: 10.4208/jcm.1110-m11si09
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