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

07/15/2022

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by   Chun-Hua Guo, et al.

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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.