On relaxed acceleration of the ADI iteration

Zhongyun Liu, Xiaofei Xu, Yang Zhou, Carla Ferreira, Yulin Zhang

Type: Article

Publication Date: 2023-12-29

Citations: 0

DOI: https://doi.org/10.1007/s40314-023-02558-6

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Computational and Applied Mathematics - View

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+	On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si30.gif" display="inline" overflow="scroll"><mml:mi>A</mml:mi><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:mi>X</mml:mi><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math>	2013	Xiang Wang Wenwei Li Liang-Zhi Mao
+	On Smith-type iterative algorithms for the Stein matrix equation	2009	Bin Zhou James Lam Guang‐Ren Duan
+	SOR for AX−XB=C	1991	Gerhard Starke Wilhelm Niethammer
+	Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems	2003	Zhong‐Zhi Bai Gene H. Golub Michael K. Ng
+	A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration	2009	Michele Benzi
+	On successive‐overrelaxation acceleration of the Hermitian and skew‐Hermitian splitting iterations	2007	Zhong‐Zhi Bai Gene H. Golub Michael K. Ng
+	A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations	2011	Miloud Sadkane
+ PDF Chat	A Hessenberg-Schur method for the problem AX + XB= C	1979	Gene H. Golub Stephen Nash Charles Van Loan
+	On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations	2014	Qingqing Zheng Changfeng Ma
+	A convergence theorem on an extrapolated iterative method and its applications	1998	Zhi‐Hao Cao