The application of conjugate gradient methods to NLTE rate matrix equations

Sumanth Kaushik; Peter L. Hagelstein

doi:10.1007/bf00325063

The application of conjugate gradient methods to NLTE rate matrix equations

Applied Physics B Photophysics and Laser Chemistry ◽

10.1007/bf00325063 ◽

1990 ◽

Vol 50 (4) ◽

pp. 303-306 ◽

Cited By ~ 2

Author(s):

Sumanth Kaushik ◽

Peter L. Hagelstein

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Matrix Equations ◽

Rate Matrix

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The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-01220-3 ◽

2018 ◽

Vol 60 (1-2) ◽

pp. 413-434 ◽

Cited By ~ 5

Author(s):

Min Sun ◽

Yiju Wang

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Matrix Equations ◽

Sylvester Matrix ◽

Sylvester Matrix Equations

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A limited survey of various conjugate gradient methods for solving complex matrix equations arising in electromagnetic wave interactions

Wave Motion ◽

10.1016/0165-2125(88)90011-x ◽

1988 ◽

Vol 10 (6) ◽

pp. 527-546 ◽

Cited By ~ 50

Author(s):

Tapan K. Sarkar ◽

Xiaopu Yang ◽

Ercument Arvas

Keyword(s):

Electromagnetic Wave ◽

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Matrix Equations ◽

Complex Matrix ◽

Wave Interactions ◽

Electromagnetic Wave Interactions

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The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.02.003 ◽

2014 ◽

Vol 67 (8) ◽

pp. 1545-1558 ◽

Cited By ~ 26

Author(s):

Na Huang ◽

Changfeng Ma

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Matrix Equations

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Pipelined Preconditioned Conjugate Gradient Methods for Distributed Memory Systems

2020 IEEE 27th International Conference on High Performance Computing, Data, and Analytics (HiPC) ◽

10.1109/hipc50609.2020.00029 ◽

2020 ◽

Author(s):

Manasi Tiwari ◽

Sathish Vadhiyar

Keyword(s):

Conjugate Gradient ◽

Distributed Memory ◽

Gradient Methods ◽

Memory Systems ◽

Preconditioned Conjugate Gradient ◽

Conjugate Gradient Methods ◽

Preconditioned Conjugate Gradient Methods

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Optimization using conjugate gradient methods

IEEE Transactions on Automatic Control ◽

10.1109/tac.1970.1099402 ◽

1970 ◽

Vol 15 (2) ◽

pp. 268-270 ◽

Cited By ~ 31

Author(s):

S. Tripathi ◽

K. Narendra

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods

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A new class of efficient and globally convergent conjugate gradient methods in the Dai–Liao family

Optimization Methods and Software ◽

10.1080/10556788.2014.1001511 ◽

2015 ◽

Vol 30 (4) ◽

pp. 843-863 ◽

Cited By ~ 5

Author(s):

M. Reza Peyghami ◽

H. Ahmadzadeh ◽

A. Fazli

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

New Class ◽

Globally Convergent

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A class of nonmonotone conjugate gradient methods for nonconvex functions

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-002-0047-1 ◽

2002 ◽

Vol 17 (2) ◽

pp. 208-214 ◽

Cited By ~ 3

Author(s):

Yun Liu ◽

Zengxin Wei

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Nonconvex Functions

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Nonlinear conjugate gradient methods for continuous-time output feedback design

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-012-0574-8 ◽

2012 ◽

Vol 40 (1-2) ◽

pp. 529-549 ◽

Cited By ~ 1

Author(s):

El-Sayed M. E. Mostafa

Keyword(s):

Conjugate Gradient ◽

Output Feedback ◽

Continuous Time ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Feedback Design ◽

Nonlinear Conjugate Gradient ◽

Nonlinear Conjugate Gradient Methods

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Restrictively preconditioned conjugate gradient methods for systems of linear equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/23.4.561 ◽

2003 ◽

Vol 23 (4) ◽

pp. 561-580 ◽

Cited By ~ 82

Author(s):

Z.-Z. Bai

Keyword(s):

Conjugate Gradient ◽

Linear Equations ◽

Gradient Methods ◽

Preconditioned Conjugate Gradient ◽

Conjugate Gradient Methods ◽

Systems Of Linear Equations ◽

Preconditioned Conjugate Gradient Methods

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Deflated preconditioned Conjugate Gradient methods for noise filtering of low-field MR images

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113730 ◽

2021 ◽

pp. 113730

Author(s):

Xiujie Shan ◽

Martin B. van Gijzen

Keyword(s):

Conjugate Gradient ◽

Gradient Methods ◽

Preconditioned Conjugate Gradient ◽

Noise Filtering ◽

Conjugate Gradient Methods ◽

Mr Images ◽

Low Field ◽

Preconditioned Conjugate Gradient Methods

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