4 papers
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…
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…
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…
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…