Chun-Yueh Chiang

activity

20112022

most citedOn the Sylvester-like matrix equation

A X + f (X) B = C

2 citations · 2 across the 15 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.NA2013

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…

math.NA2013

On the solution of the linear matrix equation $X = A f (X) B + C$

Chun-Yueh Chiang

In this paper, we derive a formula to compute the solution of the linear matrix equation $X = A f (X) B + C$ via finding any solution of a specific Stein matrix equation $\mathcal{X}=\mat…

math.NA2013

A note on the $⊤$ -Stein matrix equation

Chun-Yueh Chiang

This note is concerned with the linear matrix equation $X = A X^{⊤} B + C$ , where the operator $(\cdot)^{⊤}$ denotes the transpose ( $⊤$ ) of a matrix. The first part of this pap…

math.NA2013

The Shifting Technique for Computing the Extreme Solutions of $X + A^{⊤} X^{- 1} A = Q$

Chun-Yueh Chiang, Matthew M. Lin

We propose a new way for speeding up the search of the maximal solution $X_{+}$ of $X + A^{⊤} X^{- 1} A = Q$ . It is known that the speed of convergence of traditional approaches for…

A note on Sylvester-type equations

On the solution of the linear matrix equation X=Af(X)B+C

A note on the ⊤-Stein matrix equation

The Shifting Technique for Computing the Extreme Solutions of X+A⊤X−1A=Q

On the solution of the linear matrix equation $X = A f (X) B + C$

A note on the $⊤$ -Stein matrix equation

The Shifting Technique for Computing the Extreme Solutions of $X + A^{⊤} X^{- 1} A = Q$