Methods of conjugate gradients for solving linear systems

M.R. Hestenes; E. Stiefel

doi:10.6028/jres.049.044

Methods of conjugate gradients for solving linear systems

Journal of Research of the National Bureau of Standards ◽

10.6028/jres.049.044 ◽

1952 ◽

Vol 49 (6) ◽

pp. 409 ◽

Cited By ~ 3983

Author(s):

M.R. Hestenes ◽

E. Stiefel

Keyword(s):

Linear Systems ◽

Conjugate Gradients

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Methods of Conjugate Gradients for Solving Linear Systems

A Century of Excellence in MEASUREMENTS, STANDARDS, and TECHNOLOGY ◽

10.1201/9781351069397-24 ◽

2018 ◽

pp. 81-85 ◽

Cited By ~ 1

Keyword(s):

Linear Systems ◽

Conjugate Gradients

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On rounding error resilience, maximal attainable accuracy and parallel performance of the pipelined Conjugate Gradients method for large-scale linear systems in PETSc

Proceedings of the Exascale Applications and Software Conference 2016 on - EASC '16 ◽

10.1145/2938615.2938621 ◽

2016 ◽

Cited By ~ 3

Author(s):

Siegfried Cools ◽

Wim Vanroose ◽

Emrullah Fatih Yetkin ◽

Emmanuel Agullo ◽

Luc Giraud

Keyword(s):

Linear Systems ◽

Large Scale ◽

Error Resilience ◽

Conjugate Gradients ◽

Rounding Error ◽

Parallel Performance

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Generalized method of conjugate gradients for the solution of linear systems

Journal of Soviet Mathematics ◽

10.1007/bf02104311 ◽

1985 ◽

Vol 28 (3) ◽

pp. 397-402 ◽

Cited By ~ 1

Author(s):

G. V. Savinov

Keyword(s):

Linear Systems ◽

Conjugate Gradients ◽

Method Of Conjugate Gradients

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The solution of ill-conditioned linear systems arising from Fredholm equations of the first kind by steepest descents and conjugate gradients

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100310 ◽

1976 ◽

Vol 10 (3) ◽

pp. 607-617 ◽

Cited By ~ 7

Author(s):

William Squire

Keyword(s):

Linear Systems ◽

Conjugate Gradients ◽

Fredholm Equations

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A Multilevel Cholesky Conjugate Gradients Hybrid Solver for Linear Systems with Multiple Right-hand Sides

Procedia Computer Science ◽

10.1016/j.procs.2011.04.251 ◽

2011 ◽

Vol 4 ◽

pp. 2307-2316 ◽

Cited By ~ 2

Author(s):

Joshua Dennis Booth ◽

Anirban Chatterjee ◽

Padma Raghavan ◽

Michael Frasca

Keyword(s):

Linear Systems ◽

Conjugate Gradients ◽

Right Hand ◽

Hybrid Solver

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A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems

Numerical Algorithms ◽

10.1007/bf02141259 ◽

1994 ◽

Vol 7 (1) ◽

pp. 17-32 ◽

Cited By ~ 14

Author(s):

Tony F. Chan ◽

Tedd Szeto

Keyword(s):

Linear Systems ◽

Conjugate Gradients ◽

Nonsymmetric Linear Systems

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Well-Posed Linear Systems

10.1017/cbo9780511543197 ◽

2005 ◽

Cited By ~ 142

Author(s):

Olof Staffans

Keyword(s):

Linear Systems ◽

Well Posed

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Principles of Linear Systems

10.1017/cbo9781139174756 ◽

1997 ◽

Cited By ~ 15

Author(s):

Philip E. Sarachik

Keyword(s):

Linear Systems

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THE OPTIMAL FEEDBACK CONTROL OF LINEAR SYSTEMS WITH NON-CHEAP CONTROL

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30600-3 ◽

1983 ◽

Vol 3 (2) ◽

pp. 171-182

Author(s):

Qingkai Ye

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Optimal Feedback Control ◽

Optimal Feedback ◽

Cheap Control ◽

Control Of Linear Systems

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Particularities of overdetermined linear systems arising in particle size analysis

Journal de Physique III ◽

10.1051/jp3:1992198 ◽

1992 ◽

Vol 2 (8) ◽

pp. 1547-1555

Author(s):

D. M. Calistru ◽

R. Mondescu ◽

I. Baltog

Keyword(s):

Particle Size ◽

Linear Systems ◽

Particle Size Analysis ◽

Size Analysis ◽

Overdetermined Linear Systems

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