A single-step iteration method for non-Hermitian positive definite linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.07.021 ◽

2019 ◽

Vol 346 ◽

pp. 471-482 ◽

Author(s):

Xiang Wang ◽

Xiao-Yong Xiao ◽

Qing-Qing Zheng

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Positive Definite ◽

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A SHSS–SS iteration method for non-Hermitian positive definite linear systems

Results in Applied Mathematics ◽

10.1016/j.rinam.2021.100225 ◽

2022 ◽

Vol 13 ◽

pp. 100225

Author(s):

Cui-Xia Li ◽

Shi-Liang Wu

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Positive Definite

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A single-step HSS method for non-Hermitian positive definite linear systems

Applied Mathematics Letters ◽

10.1016/j.aml.2014.12.013 ◽

2015 ◽

Vol 44 ◽

pp. 26-29 ◽

Author(s):

Cui-Xia Li ◽

Shi-Liang Wu

Keyword(s):

Linear Systems ◽

Positive Definite ◽

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Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems

BIT Numerical Mathematics ◽

10.1007/s10543-018-0729-6 ◽

2018 ◽

Vol 59 (1) ◽

pp. 299-319 ◽

Author(s):

Ai-Li Yang ◽

Yang Cao ◽

Yu-Jiang Wu

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Positive Definite ◽

Minimum Residual ◽

Splitting Iteration Method

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A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems

Computational and Applied Mathematics ◽

10.1007/s40314-015-0231-6 ◽

2015 ◽

Vol 36 (1) ◽

pp. 367-381 ◽

Author(s):

Yu-Jiang Wu ◽

Xu Li ◽

Jin-Yun Yuan

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Positive Definite ◽

Hss Iteration ◽

Hss Iteration Method

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A new single-step iteration method for solving complex symmetric linear systems

Numerical Algorithms ◽

10.1007/s11075-017-0393-y ◽

2017 ◽

Vol 78 (2) ◽

pp. 643-660 ◽

Author(s):

X. Y. Xiao ◽

X. Wang

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Single Step ◽

Complex Symmetric Linear Systems ◽

Complex Symmetric

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Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.014 ◽

2021 ◽

Vol 165 ◽

pp. 598-613

Author(s):

Ju-Li Zhang

Keyword(s):

Linear Systems ◽

Positive Definite

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A novel class of approximate inverse preconditioners for large positive definite linear systems in optimization

Computational Optimization and Applications ◽

10.1007/s10589-015-9765-1 ◽

2015 ◽

Vol 65 (2) ◽

pp. 399-429 ◽

Author(s):

Giovanni Fasano ◽

Massimo Roma

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Approximate Inverse

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The RSS-like iteration method for block two-by-two linear systems from time-periodic parabolic optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126477 ◽

2021 ◽

Vol 410 ◽

pp. 126477

Author(s):

Min-Li Zeng

Keyword(s):

Optimal Control ◽

Linear Systems ◽

Iteration Method ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

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Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.08.010 ◽

2021 ◽

Author(s):

Akbar Shirilord ◽

Mehdi Dehghan

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Complex Symmetric Linear Systems ◽

Complex Symmetric

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Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems

SIAM Journal on Scientific Computing ◽

10.1137/19m1298263 ◽

2021 ◽

Vol 43 (1) ◽

pp. A258-A277

Author(s):

Nicholas J. Higham ◽

Srikara Pranesh

Keyword(s):

Least Squares ◽

Linear Systems ◽

Positive Definite ◽

Least Squares Problems ◽

Symmetric Positive Definite

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