Z
Zhong-Zhi Bai
Researcher at Chinese Academy of Sciences
Publications - 165
Citations - 10712
Zhong-Zhi Bai is an academic researcher from Chinese Academy of Sciences. The author has contributed to research in topics: Iterative method & System of linear equations. The author has an hindex of 49, co-authored 160 publications receiving 9600 citations. Previous affiliations of Zhong-Zhi Bai include Fudan University & Southern Federal University.
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Optimal parameters in the HSS‐like methods for saddle‐point problems
TL;DR: The Hermitian and skew-Hermitian splitting iteration method and its accelerated variant for solving the large sparse saddle-point problems are investigated in detail, and the formulas for computing good iteration parameters are given under certain principle for optimizing the distribution of the eigenvalues.
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On preconditioned MHSS iteration methods for complex symmetric linear systems
TL;DR: The convergence of the preconditioned MHSS (PMHSS) iteration method is proved and the spectral properties of the PMHSS-preconditioned matrix are discussed.
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Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
TL;DR: Numerical experiments show that the PMHSS preconditioners can be quite competitive when used to preconditions Krylov subspace iteration methods such as GMRES.
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Convergence Properties of Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Semidefinite Matrices
TL;DR: This work derives necessary and sufficient conditions for guaranteeing the unconditional convergence of the preconditioned Hermitian and skew-Hermitian splitting iteration methods and applies these results to block tridiagonal linear systems in order to obtain convergence conditions for the corresponding block variants of these methods.
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On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
TL;DR: Theoretical analyses show that the NSS method converges unconditionally to the exact solution of the system of linear equations, and an upper bound of the contraction factor is derived which is dependent solely on the spectrum of the normal splitting matrix, and is independent of the eigenvectors of the matrices involved.