A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

Heng-Bin An; Zhong-Zhi Bai

doi:10.1016/j.apnum.2006.02.007

A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.02.007 ◽

2007 ◽

Vol 57 (3) ◽

pp. 235-252 ◽

Cited By ~ 48

Author(s):

Heng-Bin An ◽

Zhong-Zhi Bai

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Gmres Method ◽

Globally Convergent ◽

Sparse Systems ◽

Large Sparse Systems

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Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations∗

Optimization Methods and Software ◽

10.1080/10556789808805677 ◽

1998 ◽

Vol 8 (3-4) ◽

pp. 201-223 ◽

Cited By ~ 11

Author(s):

L. Lukšan ◽

J. Vlček

Keyword(s):

Nonlinear Equations ◽

Computational Experience ◽

Descent Methods ◽

Systems Of Nonlinear Equations ◽

Globally Convergent ◽

Sparse Systems ◽

Large Sparse Systems

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Truncated Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations

Journal of Optimization Theory and Applications ◽

10.1023/a:1022678023392 ◽

1997 ◽

Vol 95 (3) ◽

pp. 637-658 ◽

Cited By ~ 7

Author(s):

L. Lukšan ◽

J. Vlček

Keyword(s):

Nonlinear Equations ◽

Trust Region ◽

Systems Of Nonlinear Equations ◽

Trust Region Methods ◽

Sparse Systems ◽

Preconditioned Iterative ◽

Large Sparse Systems

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Tensor methods for large sparse systems of nonlinear equations

10.2172/434848 ◽

1996 ◽

Author(s):

A. Bouaricha ◽

R.B. Schnabel

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Tensor Methods ◽

Sparse Systems ◽

Large Sparse Systems

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A note on solution of large sparse systems of nonlinear equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(78)90089-6 ◽

1978 ◽

Vol 63 (2) ◽

pp. 439-445 ◽

Cited By ~ 27

Author(s):

R.P Tewarson ◽

J.L Stephenson ◽

L.L Juang

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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Tensor methods for large sparse systems of nonlinear equations

Mathematical Programming ◽

10.1007/bf01580076 ◽

1998 ◽

Vol 82 (3) ◽

pp. 377-400 ◽

Cited By ~ 16

Author(s):

Ali Bouaricha ◽

Robert B. Schnabel

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Tensor Methods ◽

Sparse Systems ◽

Large Sparse Systems

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Inexact trust region method for large sparse systems of nonlinear equations

Journal of Optimization Theory and Applications ◽

10.1007/bf02193101 ◽

1994 ◽

Vol 81 (3) ◽

pp. 569-590 ◽

Cited By ~ 39

Author(s):

L. Lukšan

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

Systems Of Nonlinear Equations ◽

Region Method ◽

Sparse Systems ◽

Large Sparse Systems

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A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations

Numerical Algorithms ◽

10.1007/s11075-016-0249-x ◽

2016 ◽

Vol 76 (1) ◽

pp. 163-189 ◽

Cited By ~ 3

Author(s):

Ali Baharev ◽

Ferenc Domes ◽

Arnold Neumaier

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Robust Approach ◽

Sparse Systems

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Piecewise-Linear Homotopy Algorithms for Sparse Systems of Nonlinear Equations

SIAM Journal on Control and Optimization ◽

10.1137/0321011 ◽

1983 ◽

Vol 21 (2) ◽

pp. 204-214 ◽

Cited By ~ 5

Author(s):

Michael J. Todd

Keyword(s):

Nonlinear Equations ◽

Piecewise Linear ◽

Systems Of Nonlinear Equations ◽

Piecewise Linear Homotopy ◽

Sparse Systems ◽

Homotopy Algorithms

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Efficiency of a modified globally convergent algorithm for solving systems of nonlinear equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/11/025 ◽

1987 ◽

Vol 20 (11) ◽

pp. 3219-3224

Author(s):

W C Kok ◽

S M Tang

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Globally Convergent ◽

Convergent Algorithm

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Inexact Quasi-Newton methods for sparse systems of nonlinear equations

Future Generation Computer Systems ◽

10.1016/s0167-739x(00)00074-1 ◽

2001 ◽

Vol 18 (1) ◽

pp. 41-53 ◽

Cited By ~ 11

Author(s):

Luca Bergamaschi ◽

Igor Moret ◽

Giovanni Zilli

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Newton Methods ◽

Sparse Systems ◽

Quasi Newton

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