5 papers
Computing the extremal nonnegative solutions of the M-tensor equation with a nonnegative right side vector
Chun-Hua Guo
We consider the tensor equation whose coefficient tensor is a nonsingular M-tensor and whose right side vector is nonnegative. Such a tensor equation may have a large number of non…
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 study of Schröder's method for the matrix th root using power series expansions
Chun-Hua Guo, Di Lu
When is a matrix with all eigenvalues in the disk , the principal th root of can be computed by Schröder's method, among many other methods. In this paper we pr…
An Efficient Finite Difference Scheme for the 2D Sine-Gordon Equation
Xiaorong Kang, Wenqiang Feng, Kelong Cheng +1
We present an efficient second-order finite difference scheme for solving the 2D sine-Gordon equation, which can inherit the discrete energy conservation for the undamped model the…
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…