A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

2022/07/15 by Chun-Hua Guo, Guo, Chun-Hua, Wen-Wei Lin +3
Computer Science · Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #cs.NA #math.NA

paper · pdf · doi:10.48550/arxiv.2207.07772

arxiv created 2022/07/15 · arxiv updated 2022/07/19

Abstract

We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.

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