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by Peter N. Brown, Youcef Saad
ftp://ftp.cs.umn.edu/dept/users/saad/reports/FILES/RIACS-89-57.ps.gz
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Abstract:

convergent techniques in nonlinear Newton-Krylov algorithms

Citations

842 GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems – Saad, Schultz - 1986
599 Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall – DENNIS, SCHNABEL - 1983
256 Iterative Solution of Nonlinear Equations in Several Variables – Ortega, Rheinboldt - 1970
175 Inexact Newton methods – DEMBO, EISENSTAT, et al. - 1982
120 Hybrid Krylov methods for nonlinear systems of equations – BROWN, SAAD - 1990
89 The conjugate gradient method and trust regions in large scale optimization – Steihaug - 1983
60 Necessary and sufficient conditions for the existence of a conjugate gradient method – Faber, Manteuffel - 1984
50 A theoretical comparison of the Arnoldi and GMRES algorithms – Brown - 1991
46 Newton-type minimization via the Lanczos method – Nash - 1984
41 Acharacterization of superlinear convergence and its application to quasi-Newton methods – DENNIS, MORE - 1974
29 A hybrid method for nonlinear equations – Powell - 1970
28 A family of trustregion-based algorithms for unconstrained minimization with strong convergence properties – Schultz, Schnabel, et al. - 1985
27 Matrix-free methods for stiff systems of ODE’s – BROWN, HINDMARSH - 1986
26 A discrete Newton algorithm for minimizing a function of many variables – O�Leary - 1982
26 Iterative solution of linear equations in ODE codes – Gear, Saad - 1983
18 GMRES acceleration of computational fluid dynamics codes – Wigton, Yu, et al. - 1985
16 A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods – Brown - 1987
13 private communication – Walker - 2001
11 The use of iterative linear equation solvers in codes .for large systems of stiff IVPs for ODEs – CIIAN, JACKSON - 1986
8 Iterative solution of linear equations in ODE codes – Gear, Saad - 1983
7 Krylov subspace methods for solving unsymmetric linear systems – Saad - 1981
6 der Vorst, Some observations on the convergence behavior of GMRES – Huang, van - 1989
4 Acceleration techniques for decoupling algorithms in semiconductor simulation – Kerkhoven, Saad - 1987
2 Dichotomy and conjugate gradients in the stiff initial value problem – Chern, Miranker - 1980
1 storage methods in stiff ODE systems, Lawrence Livermore National Laboratory UCRL-95088 report – Reduced - 1987
1 Numerical Optimization in Hilbert Spaces Using Inexact Function and Gradient Evaluations – Carter - 1989
1 Acceleration techniques for alecoupling algorithms in semiconductor simulation, CSRD report number 684 – Kerkhoven, Saad - 1987
1 A second order methods for unconstrained optimization – Mukai, Polak - 1978
1 Lecture notes – Walker - 1989