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Gu, C.Q. and Xue, H.Y. (2009) A Shift-Splitting Hierarchical Identification Method for Solving Lyapunov Matrix Equations. Linear Algebra and its Applications, 430, 1517-1530.
https://doi.org/10.1016/j.laa.2008.01.010

has been cited by the following article:

• TITLE: Gradient-Based Iterative Algorithm for a Coupled Complex Conjugate and Transpose Matrix Equations

  AUTHORS: Hongcai Yin, Huamin Zhang

  KEYWORDS: Hierarchical Identification Principle, Complex Conjugate and Transpose Matrix Equation, Real Representation of a Complex

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.11 No.3, August 30, 2021

  ABSTRACT: Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.