The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology

Erin C. Carson; Miroslav Rozložník; Zdeněk Strakoš; Petr Tichý; Miroslav Tůma

doi:10.1137/16m1103361

The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology

SIAM Journal on Scientific Computing ◽

10.1137/16m1103361 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3549-A3580 ◽

Cited By ~ 4

Author(s):

Erin C. Carson ◽

Miroslav Rozložník ◽

Zdeněk Strakoš ◽

Petr Tichý ◽

Miroslav Tůma

Keyword(s):

Stability Analysis ◽

Conjugate Gradient ◽

Numerical Stability ◽

Historical Context ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Numerical Stability Analysis

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Three-dimensional numerical stability analysis of the Oyu Tolgoi open pit

Proceedings of the 2013 International Symposium on Slope Stability in Open Pit Mining and Civil Engineering ◽

10.36487/acg_rep/1308_44_smithyman ◽

2013 ◽

Author(s):

Megan Smithyman ◽

Humberto Puebla ◽

Al Chance ◽

Richard Beddoes ◽

Ashley Creighton

Keyword(s):

Stability Analysis ◽

Numerical Stability ◽

Three Dimensional ◽

Open Pit ◽

Numerical Stability Analysis

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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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A numerical stability analysis for the two-dimensional incompressible Euler equations

Journal of Computational Physics ◽

10.1016/0021-9991(88)90004-6 ◽

1988 ◽

Vol 79 (1) ◽

pp. 70-84 ◽

Cited By ~ 1

Author(s):

M.G.G Foreman ◽

A.F Bennett

Keyword(s):

Stability Analysis ◽

Euler Equations ◽

Numerical Stability ◽

Two Dimensional ◽

Incompressible Euler Equations ◽

Numerical Stability Analysis ◽

Incompressible Euler

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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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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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