Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
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[1] Jośe Mario Martinez,et al. A family of quasi-Newton methods for nonlinear equations with direct secant updates of matrix factorizations , 1990 .
[2] Roland W. Freund,et al. A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems , 1993, SIAM J. Sci. Comput..
[3] M. Ferris,et al. Nonmonotone stabilization methods for nonlinear equations , 1994 .
[4] M. Fukushima,et al. A derivative-free line search and global convergence of Broyden-like method for nonlinear equations , 2000 .
[5] Henk A. van der Vorst,et al. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..
[6] L. Grippo,et al. A nonmonotone line search technique for Newton's method , 1986 .
[7] Yuhong Dai. On the Nonmonotone Line Search , 2002 .
[8] Stefania Bellavia,et al. A Globally Convergent Newton-GMRES Subspace Method for Systems of Nonlinear Equations , 2001, SIAM J. Sci. Comput..
[9] C. G. Broyden. A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .
[10] R. Dembo,et al. INEXACT NEWTON METHODS , 1982 .
[11] A. H. Sherman. On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations , 1978 .
[12] L. T. Santos,et al. Restricted optimization: a clue to a fast and accurate implementation of the Common Reflection Surface Stack method , 1999 .
[13] James M. Ortega,et al. Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.
[14] José Mario Martínez,et al. Triangular Decomposition Methods for Solving Reducible Nonlinear Systems of Equations , 1994, SIAM J. Optim..
[15] C. Kelley. Iterative Methods for Linear and Nonlinear Equations , 1987 .
[16] Marcos Raydan,et al. The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem , 1997, SIAM J. Optim..
[17] Homer F. Walker,et al. Globally Convergent Inexact Newton Methods , 1994, SIAM J. Optim..
[18] Roger Fletcher,et al. On the Barzilai-Borwein Method , 2005 .
[19] José Mario Martínez,et al. Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations , 1992, SIAM J. Sci. Comput..
[20] Lenhart K. Schubert. Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian , 1970 .
[21] Ernesto G. Birgina,et al. Automatic differentiation and spectral projected gradient methods for optimal control problems , 1998 .
[22] Glenn M. Fung,et al. A fast and global two point low storage optimization technique for tracing rays in 2D and 3D isotropic media , 2000 .
[23] Maria Grazia Gasparo,et al. A nonmonotone hybrid method for nonlinear systems , 2000 .
[24] Yousef Saad,et al. Convergence Theory of Nonlinear Newton-Krylov Algorithms , 1994, SIAM J. Optim..
[25] Yousef Saad,et al. Hybrid Krylov Methods for Nonlinear Systems of Equations , 1990, SIAM J. Sci. Comput..
[26] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[27] M. Raydan. On the Barzilai and Borwein choice of steplength for the gradient method , 1993 .
[28] E. Birgin,et al. Determination of thickness and optical constants of amorphous silicon films from transmittance data , 2000 .
[29] H. Walker,et al. Convergence Theorems for Least-Change Secant Update Methods, , 1981 .
[30] Marcos Raydan,et al. Low Cost Optimization Techniques for Solving the Nonlinear Seismic Reflection Tomography Problem , 2000 .
[31] J. Borwein,et al. Two-Point Step Size Gradient Methods , 1988 .
[32] E. Birgin,et al. Estimation of the optical constants and the thickness of thin films using unconstrained optimization , 2006 .
[33] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[34] J. M. Martínez,et al. Local convergence theory of inexact Newton methods based on structured least change updates , 1990 .