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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…
A note on algebraic Riccati equations associated with reducible singular M-matrices
Di Lu, Chun-Hua Guo
We prove a conjecture about the minimal nonnegative solutions of algebraic Riccati equations associated with reducible singular M-matrices. The result enhances our understanding of…
On algebraic Riccati equations associated with M-Matrices
Chun-Hua Guo
We consider the algebraic Riccati equation for which the four coefficient matrices form an M-matrix K. When K is a nonsingular M-matrix or an irreducible singular M-matrix, the Ric…