Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

H. Yang

doi:10.1007/bf02243830

Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

Computing ◽

10.1007/bf02243830 ◽

1993 ◽

Vol 51 (1) ◽

pp. 79-94 ◽

Cited By ~ 13

Author(s):

H. Yang

Keyword(s):

Conjugate Gradient ◽

Eigenvalue Problems ◽

Gradient Methods ◽

Rayleigh Quotient ◽

Conjugate Gradient Methods ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems

Lecture Notes in Mathematics - Numerical Integration of Differential Equations and Large Linear Systems ◽

10.1007/bfb0064904 ◽

1982 ◽

pp. 384-398 ◽

Cited By ~ 1

Author(s):

H. R. Schwarz

Keyword(s):

Eigenvalue Problems ◽

Rayleigh Quotient ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems ◽

Iteration Methods ◽

Rayleigh Quotient Iteration

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Partial solution of large symmetric generalized eigenvalue problems by nonlinear optimization of a modified Rayleigh quotient

Computers & Structures ◽

10.1016/0045-7949(85)90157-9 ◽

1985 ◽

Vol 21 (4) ◽

pp. 807-813 ◽

Cited By ~ 5

Author(s):

J-G. Béliveau ◽

P. Lemieux ◽

Y. Soucy

Keyword(s):

Nonlinear Optimization ◽

Eigenvalue Problems ◽

Partial Solution ◽

Rayleigh Quotient ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19960715)39:13<2209::aid-nme951>3.0.co;2-r ◽

1996 ◽

Vol 39 (13) ◽

pp. 2209-2229 ◽

Cited By ~ 24

Author(s):

Y. T. FENG ◽

D. R. J. OWEN

Keyword(s):

Conjugate Gradient ◽

Eigenvalue Problems ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Symmetric Eigenvalue Problems

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A Comparison of Parallel Preconditioners for the Sparse Generalized Eigenvalue Problems by Rayleigh-Quotient Minimization

Applied Parallel Computing. State of the Art in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/11558958_39 ◽

2006 ◽

pp. 333-341

Author(s):

Sangback Ma ◽

Ho-Jong Jang

Keyword(s):

Eigenvalue Problems ◽

Rayleigh Quotient ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems ◽

Parallel Preconditioners

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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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