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20132022
most citedA modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor

2 citations · 4 across the 6 of their papers we have counts for

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math.NA2022

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

Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu

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 eig…

math.NA2019

A positivity preserving iterative method for finding the ground states of saturable nonlinear Schrödinger equations

Ching-Sung Liu

In this paper, we propose an iterative method to compute the positive ground states of saturable nonlinear Schrödinger equations. A discretization of the saturable nonlinear Schröd…

math.NA2017★ 2 cited

A modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor

Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu

We propose a modified Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. When the tensor is irreducible, all nonnegative eigenpairs are known to be…

math.NA2017

Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors

Yueh-Cheng Kuo, Wen-Wei Lin, Ching-Sung Liu

In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method…

math.NA2015★ 1 cited

An inexact Noda iteration for computing the smallest eigenpair of a large irreducible monotone matrix

Ching-Sung Liu

In this paper, we present an inexact Noda iteration with inner-outer iterations for finding the smallest eigenvalue and the associated eigenvector of an irreducible monotone matrix…

math.NA2013★ 1 cited

A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible M-matrix

Zhongxiao Jia, Wen-Wei Lin, Ching-Sung Liu

In this paper, based on the Noda iteration, we present inexact Noda iterations (INI), to find the smallest eigenvalue and the associated positive eigenvector of a large irreducible…