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 ◽

Author(s):

Luca Bergamaschi ◽

Igor Moret ◽

Giovanni Zilli

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Newton Methods ◽

Sparse Systems ◽

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Truncated block Newton and quasi-Newton methods for sparse systems of nonlinear equations. Experiments on parallel platforms

Recent Advances in Parallel Virtual Machine and Message Passing Interface - Lecture Notes in Computer Science ◽

10.1007/3-540-63697-8_109 ◽

1997 ◽

pp. 390-397 ◽

Author(s):

Giovanni Zilli ◽

Luca Bergamaschi

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Newton Methods ◽

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 ◽

Author(s):

Ali Baharev ◽

Ferenc Domes ◽

Arnold Neumaier

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Robust Approach ◽

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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 ◽

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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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 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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Secant methods for sparse systems of nonlinear equations with a special structure

Computing ◽

10.1007/bf02253894 ◽

1983 ◽

Vol 30 (3) ◽

pp. 213-223 ◽

Author(s):

W. Mönch

Keyword(s):

Nonlinear Equations ◽

Special Structure ◽

Systems Of Nonlinear Equations ◽

Secant Methods ◽

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Hybrid approach for solving systems of nonlinear equations using chaos optimization and quasi-Newton method

Applied Soft Computing ◽

10.1016/j.asoc.2007.05.013 ◽

2008 ◽

Vol 8 (2) ◽

pp. 1068-1073 ◽

Author(s):

Ya-Zhong Luo ◽

Guo-Jin Tang ◽

Li-Ni Zhou

Keyword(s):

Nonlinear Equations ◽

Newton Method ◽

Hybrid Approach ◽

Systems Of Nonlinear Equations ◽

Chaos Optimization ◽

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On efficient weighted-Newton methods for solving systems of nonlinear equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.07.066 ◽

2013 ◽

Vol 222 ◽

pp. 497-506 ◽

Author(s):

Janak Raj Sharma ◽

Himani Arora

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

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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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