2 citations · 2 across the 15 of their papers we have counts for
17 papers
Inheritance properties of the conjugate discrete-time algebraic Riccati equation
Chun-Yueh Chiang, Hung-Yuan Fan
In this paper we consider a class of conjugate discrete-time Riccati equations, arising originally from the linear quadratic regulation problem for discrete-time antilinear systems…
On the maximal solution of the conjugate discrete-time algebraic Riccati equation
Hung-Yuan Fan, Chun-Yueh Chiang
In this paper we consider a class of conjugate discrete-time Riccati equations, arising originally from the linear quadratic regulation problem for discrete-time antilinear systems…
An efficient iteration for the extremal solutions of discrete-time algebraic Riccati equations
Chun-Yueh Chiang, Hung-Yuan Fan
Algebraic Riccati equations (AREs) have been extensively applicable in linear optimal control problems and many efficient numerical methods were developed. The most attention of nu…
The convergence analysis of an accelerated iteration for solving algebraic Riccati equations
Chun-Yueh Chiang
The discrete-time algebraic Riccati equation (DARE) have extensive applications in optimal control problems. We provide new theoretical supports to the stability properties of solu…
On the semigroup property for some structured iterations
Matthew M. Lin, Chun-Yueh Chiang
Nonlinear matrix equations play a crucial role in science and engineering problems. However, solutions of nonlinear matrix equations cannot, in general, be given analytically. One…
Riemannian Inexact Newton Method for Structured Inverse Eigenvalue and Singular Value Problems
Chun-Yueh Chiang, Matthew M. Lin, Xiao-Qing Jin
Inverse eigenvalue and singular value problems have been widely discussed for decades. The well-known result is the Weyl-Horn condition, which presents the relations between the ei…
An accelerated technique for solving one type of discrete-time algebraic Riccati equations
Matthew M. Lin, Chun-Yueh Chiang
Algebraic Riccati equations are encountered in many applications of control and engineering problems, e.g., LQG problems and control theory. In this work, we study the p…
-algorithm and its application for solving matrix square roots
Matthew M. Lin, Chun-Yueh Chiang
This work is to propose an iterative method of choice to compute a stable subspace of a regular matrix pencil. This approach is to define a sequence of matrix pencils via particula…
On a class of nonlinear matrix equations
Chun-Yueh Chiang
Nonlinear matrix equations are encountered in many applications of control and engineering problems. In this work, we establish a complete study for a class of nonlinear matrix equ…
On the Sylvester-like matrix equation
Chun-Yueh Chiang
Many applications in applied mathematics and control theory give rise to the unique solution of a Sylvester-like matrix equation associated with an underlying structured matrix ope…
A note on Sylvester-type equations
Matthew M. Lin, Chun-Yueh Chiang
This work is to provide a comprehensive treatment of the relationship between the theory of the generalized (palindromic) eigenvalue problem and the theory of the Sylvester-type eq…
On the solution of the linear matrix equation
Chun-Yueh Chiang
In this paper, we derive a formula to compute the solution of the linear matrix equation via finding any solution of a specific Stein matrix equation $\mathcal{X}=\mat…
A note on the -Stein matrix equation
Chun-Yueh Chiang
This note is concerned with the linear matrix equation , where the operator denotes the transpose () of a matrix. The first part of this pap…
The Shifting Technique for Computing the Extreme Solutions of
Chun-Yueh Chiang, Matthew M. Lin
We propose a new way for speeding up the search of the maximal solution of . It is known that the speed of convergence of traditional approaches for…
On the -Stein equation
Matthew M. Lin, Chun-Yueh Chiang
We consider the -Stein equation , where the operator denotes the transpose () of a matrix. In the first part of this paper, we analyze…
The Eigenvalue Shift Technique and Its Eigenstructure Analysis of a Matrix
Chun-Yueh Chiang, Matthew M. Lin
The eigenvalue shift technique is the most well-known and fundamental tool for matrix computations. Applications include the search of eigeninformation, the acceleration of numeric…
The Shifting Technique for Solving a Nonsymmetric Algebraic Riccati Equation
Chun-Yueh Chiang, Matthew M. Lin
This paper analyzes a special instance of nonsymmetric algebraic matrix Riccati equations arising from transport theory. Traditional approaches for finding the minimal nonnegative…