Browsing Mathematics & Statistics Faculty by Author "Kuo, Yueh-Cheng"

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Complex symmetric stabilizing solution of the matrix equation $X+A^{T}X^{-1}A=Q$

Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei (Elsevier, 2011)

We study the matrix equation $X+A^{T}X^{-1}A=Q$, where $A$ is a complex square matrix and $Q$ is complex symmetric. Special cases of this equation appear in Green's function calculation in nano research and also in the ...
Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research

Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei (Elsevier, 2012)

The Green's function approach for treating quantum transport in nano devices requires the solution of nonlinear matrix equations of the form $X+(C^*+{\rm i} \eta D^*)X^{-1}(C+{\rm i} \eta D)=R+{\rm i}\eta P$, where $R$ ...
On a nonlinear matrix equation arising in nano research

Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei (SIAM, 2012)

The matrix equation $X+A^{T}X^{-1}A=Q$ arises in Green's function calculations in nano research, where $A$ is a real square matrix and $Q$ is a real symmetric matrix dependent on a parameter and is usually indefinite. ...

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