Some new estimates on the complex eigenvalues of the HSS preconditioned matrix

Li Cui-Xia; Wu Shi-Liang

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Some new estimates on the complex eigenvalues of the HSS preconditioned matrix

机译：HSS预处理矩阵的复特征值的一些新估计

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In this paper, we derive some new bounds on the complex eigenvalues of the Hermitian and skew-Hermitian splitting (HSS) preconditioner for saddle point problems and improve those stated in previously published works. (C) 2014 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2014年第null期|共6页
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Li Cui-Xia; Wu Shi-Liang;
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正文语种 eng
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Saddle point problems; Hermitian and skew-Hermitian splitting; Preconditioner; Eigenvalue;

机译：鞍点问题;Hermitian和Skew-Hermitian分裂;预处理器;特征值;

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1. Some new estimates on the complex eigenvalues of the HSS preconditioned matrix [J] . Li Cui-Xia, Wu Shi-Liang Applied mathematics and computation . 2014,第Null期

机译：HSS预处理矩阵的复特征值的一些新估计
2. Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol [J] . Donatelli Marco, Garoni Carlo, Mazza Mariarosa, Numerical linear algebra with applications . 2016,第1期

机译：基于矩阵值符号概念的大型多级块Toeplitz线性系统的预处理HSS方法
3. A variant of the HSS preconditioner for complex symmetric indefinite linear systems [J] . Shen Qin-Qin, Shi Quan Computers & mathematics with applications . 2018,第3期

机译：复杂对称不定线性系统的HSS预调节器的一种变体
4. Eigenvalue Estimates for Preconditioned Saddle Point Matrices [C] . Owe Axelsson International Conference on Large-Scale Scientific Computing . 2004

机译：预处理鞍点矩阵的特征值估计
5. Investigation of eigenvalue distribution of the capacitance matrix for a Neumann-Dirichlet preconditioner [D] . Sha, Saliha Lee-kwou 1989

机译：Neumann-Dirichlet预处理器电容矩阵特征值分布的研究
6. Balance between matrix metalloproteinases (MMP) and tissue inhibitors of metalloproteinases (TIMP) in the cervical mucus plug estimated by determination of free non-complexed TIMP [O] . Naja Becher, Merete Hein, Niels Uldbjerg, 2008

机译：通过测定游离非复合TIMP估算宫颈粘液栓塞中基质金属蛋白酶（MMP）和组织金属蛋白酶（TIMP）抑制剂之间的平衡
7. A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices [O] . Sven-Erik Ekström, Carlo Garoni 2018

机译：用于计算预处理带状对称TOEPLITZ矩阵的特征值的矩阵和平行插值外推算法
8. Family of Algorithms for Approximating the Smallest Eigenvalue of a Real Matrixwith No Complex Eigenvalues [R] . Bosch, R. A., Torenbeek, R. V. 1995

机译：用于逼近无复特征值的实矩阵最小特征值的算法族

Some new estimates on the complex eigenvalues of the HSS preconditioned matrix

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