A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors (2207.07772v1)

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.