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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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 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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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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Alternating Lower-Upper Splitting Iterative Method for Positive Definite Linear Systems

International Conference on Information Technology and Computer Science, 3rd (ITCS 2011) ◽

10.1115/1.859742.paper16 ◽

2011 ◽

pp. 63-66

Keyword(s):

Iterative Method ◽

Linear Systems ◽

Positive Definite ◽

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Riemannian Gradient-Based Online Identification Method for Linear Systems with Symmetric Positive-Definite Matrix

2019 IEEE 58th Conference on Decision and Control (CDC) ◽

10.1109/cdc40024.2019.9030228 ◽

2019 ◽

Author(s):

Hiroyuki Sato ◽

Kazuhiro Sato

Keyword(s):

Linear Systems ◽

Positive Definite Matrix ◽

Positive Definite ◽

Symmetric Positive Definite Matrix ◽

Online Identification ◽

Symmetric Positive Definite ◽

Identification Method ◽

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‘Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems’ [Numer. Linear Algebra Appl. 14 (2007) 217-235]

Numerical Linear Algebra with Applications ◽

10.1002/nla.777 ◽

2011 ◽

Vol 19 (5) ◽

pp. 885-890 ◽

Author(s):

Davod Khojasteh Salkuyeh ◽

Shiva Behnejad

Keyword(s):

Linear Systems ◽

Linear Algebra ◽

Positive Definite ◽

Splitting Methods

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On the convergence of nonstationary multisplitting two-stage iteration methods for hermitian positive definite linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00376-4 ◽

2002 ◽

Vol 138 (2) ◽

pp. 287-296 ◽

Author(s):

Zhong-Zhi Bai ◽

Chuan-Long Wang

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Two Stage ◽

Iteration Methods

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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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Unsymmetric positive definite linear systems

Linear Algebra and its Applications ◽

10.1016/0024-3795(79)90122-8 ◽

1979 ◽

Vol 28 ◽

pp. 85-97 ◽

Author(s):

Gene H. Golub ◽

Charles Van Loan

Keyword(s):

Linear Systems ◽

Positive Definite

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Asymmetric Hermitian and skew-Hermitian splitting methods for positive definite linear systems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.024 ◽

2007 ◽

Vol 54 (1) ◽

pp. 147-159 ◽

Author(s):

Liang Li ◽

Ting-Zhu Huang ◽

Xing-Ping Liu

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Splitting Methods

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