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    Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case 

    Chiang, Chun-Yueh; Chu, Eric King-Wah; Guo, Chun-Hua; Huang, Tsung-Ming; Lin, Wen-Wei; Xu, Shu-Fang (SIAM, 2009)
    In this paper, we review two types of doubling algorithm and some techniques for analyzing them. We then use the techniques to study the doubling algorithm for three different nonlinear matrix equations in the critical ...
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    Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm 

    Guo, Chun-Hua; Lin, Wen-Wei (SIAM, 2010)
    In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) $(\lambda^2 A^T + \lambda Q + A)z = 0$, where $A, Q \in \mathbb{C}^{n \times n}$ and $Q^T = Q$. Moreover, the matrix ...
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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 ...
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    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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    The matrix equation $X+A^TX^{-1}A=Q$ and its application in nano research 

    Guo, Chun-Hua; Lin, Wen-Wei (SIAM, 2010)
    The matrix equation $X+A^TX^{-1}A=Q$ has been studied extensively when $A$ and $Q$ are real square matrices and $Q$ is symmetric positive definite. The equation has positive definite solutions under suitable conditions, ...
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    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 $R$ ...
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    Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory 

    Guo, Chun-Hua; Lin, Wen-Wei (Elsevier, 2010)
    We determine and compare the convergence rates of various fixed-point iterations for finding the minimal positive solution of a class of nonsymmetric algebraic Riccati equations arising in transport theory.

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    AuthorGuo, Chun-Hua (7)
    Lin, Wen-Wei (7)
    Kuo, Yueh-Cheng (3)Chiang, Chun-Yueh (1)Chu, Eric King-Wah (1)Huang, Tsung-Ming (1)Xu, Shu-Fang (1)Date Issued2010 (3)2012 (2)2009 (1)2011 (1)Has File(s)
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    Contact Us | Send Feedback | Archer Library | University of Regina