Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications

Journal of Scientific Computing ◽

10.1007/s10915-021-01690-x ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

Enrico Meli ◽

Benedetta Morini ◽

Margherita Porcelli ◽

Cristina Sgattoni

Keyword(s):

Nonlinear Systems ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Spectral Residual ◽

Stepsize Selection

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Spectral residual method without gradient information for solving large-scale nonlinear systems of equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01840-0 ◽

2006 ◽

Vol 75 (255) ◽

pp. 1429-1449 ◽

Author(s):

William La Cruz ◽

José Mario Martínez ◽

Marcos Raydan

Keyword(s):

Nonlinear Systems ◽

Large Scale ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Residual Method ◽

Gradient Information ◽

Spectral Residual

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Spectral residual methods with two new non-monotone line searches for large-scale nonlinear systems of equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.07.079 ◽

2015 ◽

Vol 269 ◽

pp. 59-69 ◽

Author(s):

Xiangli Li ◽

Xiao Guo

Keyword(s):

Nonlinear Systems ◽

Large Scale ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Line Searches ◽

Spectral Residual

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Using Trust Region Method with BFGS Technique for Solving Nonlinear Systems of Equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1818/1/012022 ◽

2021 ◽

Vol 1818 (1) ◽

pp. 012022

Author(s):

Hasan H. Dwail ◽

Mushtak A. K. Shiker

Keyword(s):

Nonlinear Systems ◽

Trust Region Method ◽

Trust Region ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

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Triangular Decomposition of CP Factors of a Third-Order Tensor with Application to Solving Nonlinear Systems of Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01758-8 ◽

2022 ◽

Vol 90 (2) ◽

Author(s):

Hassan Bozorgmanesh ◽

Masoud Hajarian

Keyword(s):

Nonlinear Systems ◽

Triangular Decomposition ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Third Order ◽

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Preconditioned Subspace Descent Methods for the Solution of Nonlinear Systems of Equations

Communications in Computer and Information Science - Optimization and Applications ◽

10.1007/978-3-030-38603-0_13 ◽

2020 ◽

pp. 164-179 ◽

Author(s):

Igor Kaporin

Keyword(s):

Nonlinear Systems ◽

Descent Methods ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations

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6. Nonlinear systems of equations

Interval Analysis ◽

10.1515/9783110499469-007 ◽

2017 ◽

Keyword(s):

Nonlinear Systems ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations

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Worst-case evaluation complexity of derivative-free nonmonotone line search methods for solving nonlinear systems of equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01621-4 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Geovani N. Grapiglia ◽

Flávia Chorobura

Keyword(s):

Nonlinear Systems ◽

Line Search ◽

Nonmonotone Line Search ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Case Evaluation ◽

Derivative Free ◽

Line Search Methods ◽

Evaluation Complexity

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Nonlinear Systems of Equations

Springer Series in Computational Mathematics - Numerical Toolbox for Verified Computing I ◽

10.1007/978-3-642-78423-1_13 ◽

1993 ◽

pp. 264-281

Author(s):

Ulrich Kulisch ◽

Rolf Hammer ◽

Dietmar Ratz ◽

Matthias Hocks

Keyword(s):

Nonlinear Systems ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations

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Nonlinear systems of equations

Graduate Studies in Mathematics - Concise Numerical Mathematics ◽

10.1090/gsm/057/05 ◽

2003 ◽

pp. 105-122

Author(s):

Robert Plato

Keyword(s):

Nonlinear Systems ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations

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Nonlinear Systems of Equations: Application to the Enclosure of All Azeotropes

10.1007/springerreference_72533 ◽

2012 ◽

Keyword(s):

Nonlinear Systems ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations

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