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 ◽

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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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 ◽

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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A trust-region method with improved adaptive radius for systems of nonlinear equations

Mathematical Methods of Operations Research ◽

10.1007/s00186-015-0522-0 ◽

2015 ◽

Vol 83 (1) ◽

pp. 109-125 ◽

Author(s):

Hamid Esmaeili ◽

Morteza Kimiaei

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

Systems Of Nonlinear Equations ◽

Region Method ◽

Adaptive Radius

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An efficient adaptive trust-region method for systems of nonlinear equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.887701 ◽

2014 ◽

Vol 92 (1) ◽

pp. 151-166 ◽

Author(s):

Hamid Esmaeili ◽

Morteza Kimiaei

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

Systems Of Nonlinear Equations ◽

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A BFGS trust-region method for nonlinear equations

Computing ◽

10.1007/s00607-011-0146-z ◽

2011 ◽

Vol 92 (4) ◽

pp. 317-333 ◽

Author(s):

Gonglin Yuan ◽

Zengxin Wei ◽

Xiwen Lu

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

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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 ◽

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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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 BFGS trust-region method with a new nonmonotone technique for nonlinear equations

Optimization ◽

10.1080/02331934.2013.840619 ◽

2013 ◽

Vol 64 (4) ◽

pp. 981-992 ◽

Author(s):

Hua Wang ◽

Chao Gu ◽

Dingguo Pu

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

Nonmonotone Technique ◽

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Convergence Rate of The Trust Region Method for Nonlinear Equations Under Local Error Bound Condition

Computational Optimization and Applications ◽

10.1007/s10589-005-3078-8 ◽

2006 ◽

Vol 34 (2) ◽

pp. 215-227 ◽

Author(s):

Jinyan Fan

Keyword(s):

Convergence Rate ◽

Error Bound ◽

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

Local Error ◽

Local Error Bound ◽

Region Method ◽

Local Error Bound Condition

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BFGS trust-region method for symmetric nonlinear equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.10.062 ◽

2009 ◽

Vol 230 (1) ◽

pp. 44-58 ◽

Author(s):

Gonglin Yuan ◽

Xiwen Lu ◽

Zengxin Wei

Keyword(s):

Nonlinear Equations ◽

Trust Region Method ◽

Trust Region ◽

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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 ◽

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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