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

2022/07/15 by Guo, Chun-Hua, Lin, Wen-Wei, Liu, Ching-Sung
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2207.07772

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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