|
[1]
|
C. C. Paige, M. A. Saunders. Solution of sparse indefinite systems of linear equations. Society for Industrial and Applied Mathematics, 1975, 12(4): 617-629.
|
|
[2]
|
Y. Saad, M. H. Schultz. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. Society for Industrial and Applied Mathematics, 1986, 7(3): 856-869.
|
|
[3]
|
D. M. Young, K. C. Jea. Generalized conjugate-gradient acceleration ofnonsymmetrizable iterative methods. Linear Algebra and Its Applications, 1980, 34: 159-194.
|
|
[4]
|
S. C. Eisenstat, H. C. Elman and M. H. Schultz. Variation aliterative methods for nonsymmetric systems of linear equations. Society for Industrial and Applied Mathematics, 1983, 20(2): 345-357.
|
|
[5]
|
H. F. Walker. A simpler GMRES. Numerical Linear Algebra with Applications, 1994, 1(6): 571-581.
|
|
[6]
|
H. A. Van Der Vorst, C. Vuik. GMRESR: A family of nested GMRES methods. Numeral Linear Algebra with Applications, 1994, 1(4): 369- 386.
|
|
[7]
|
A. Essai. Weighted FOM and GMRES for solving nonsymmetric linear systems. Numerical Algorithms, 1998, 18(3-4): 277-292.
|
|
[8]
|
杨圣炜, 卢琳璋. 一种加权的Simpler GMRES算法[J]. 厦门大学学报, 2008, 47(4): 484-488.
|
|
[9]
|
Z. Zhou, J. Zhao. An improved GMRES method augmented with eigenvectors. Journal of Nanjing University (Natural Science), 2001, 37(1): 1-11.
|
|
[10]
|
E. H. Ayachour. A fast implementation for GMRES method. Journal of Computational and Applied Mathematics, 2003, 159(2): 269-283.
|
|
[11]
|
H. S. Najafi, H. Zareamonghaddam. A new computational GMRES method. Applied Mathematics and Computation, 2008, 199(2): 527-534.
|
|
[12]
|
M. Eiermann, O. G. Ernst and O. Schneider. Analysis of acceleration strategies for restarted minimum residual methods. Journal of Computational and Applied Mathematics, 2000, 123(1): 261-292.
|
|
[13]
|
M. Embree. The tortoise and the hare restart GMRES. SIAM Review, 2003, 45(2): 256-266.
|
|
[14]
|
A. H. Baker, E. R. Jessup and T. Z. V. Kolev. A simple strategy for varying the restart parameter in GMRES (m). Journal of Computational and Applied Mathematics, 2009, 230(2): 751-761.
|
|
[15]
|
E. Vecharynski, J. Langou. The cycle-convergence of restarted GMRES for normal matrices is sublinear. Siam Journal on Scientific Computing, 2010, 32(1): 186-196.
|
|
[16]
|
E. Vecharynski, J. Langou. Any decreasing cycle-convergence curve is possible for restarted GMRES, 2012. http://arXiv:0907.3573v1
|
|
[17]
|
H. D. Sterck. Steepest descent preconditioning for nonlinear GMRES optimization, 2012. http://arXiv:1106.4426v2
|
|
[18]
|
M. Huhtanen, A. Peramaki. Orthogonal polynomials of the r-linear generalized minimal residual method, 2012. http://arXiv:1111.5167v2
|
|
[19]
|
J. Liesen, P. Tichy. The field of values bound on ideal GMRES, 2013.
http://arxiv.org/abs/1211.5969v1
|
|
[20]
|
R. Campagna, L. D’Amore and A. Murli. An efficient algorithm for regularization of Laplace transform inversion in real case. Journal of Computation and Applied Mathematics, 2007, 210(1-2): 84-98.
|
|
[21]
|
J. Huang, J. Jia, M. Minion. Arbitrary order Krylov deferred correction methods for differential algebraic equations. Journal of Computational Physics, 2007, 221(2): 739-760.
|
|
[22]
|
J. Kou, Y. Li. A uniparametric LU-SGS method for systems of nonlinear equations. Applied Mathematics and Computation, 2007, 189(1): 235- 240.
|
|
[23]
|
H. An, Z. Bai. A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Applied Numerical Mathematics, 2007, 57(3): 235-252.
|
|
[24]
|
F. S. B. F. Oliveira. Application of a Krylov subspace iterative method in a multi-level adaptive technique to solve the mild-slope equation in nearshore regions. Applied Mathematics Modelling, 2007, 31(4): 655-662.
|
|
[25]
|
B. Chang. A deterministic photon free method to solve radiation transfer equations. Journal of Computational Physics, 2007, 222(1): 71-85.
|
|
[26]
|
A. Nejat, C. Ollivier-Gooch. Effect of discretization order on preconditioning and convergence of a high-order unstructured Newton-GMRES solver for the Euler equations. Journal of Computational Physics, 2008, 227(4): 2366-2386.
|
|
[27]
|
V. Hernandez, J. J. Ibanez, J. Peinado and E. Arias. A GMRES-based BDF method for solving differential Riccati equations. Applied Mathe-matics and Computational, 2008, 196(2): 613-626.
|
|
[28]
|
A. Bouhamidi, K. Jbilou. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications. Applied Mathematics and Computational, 2008, 206(2): 687-694.
|
|
[29]
|
M. Bellalij, K. Jbilou and H. Sadok. New convergence results on the global GMRES method for diagonalizable matrices. Journal of Computational and Applied Mathematics, 2008, 219(2): 350-358.
|
|
[30]
|
R. Li, W. Zhang. The rate of convergence of GMRES on a tridiagonal toeplitz linear system. II. Linear Algebra and Its Applications, 2009, 431(12): 2425-2436.
|
|
[31]
|
T. Airaksinen, A. Pennanen and J. Toivanen. A damping preconditioner for time-harmonic wave equations in fluid and elastic material. Journal of Computational Physics, 2009, 228(5): 1466-1479.
|
|
[32]
|
L. T. Diosady, D. L. Darmofal. Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations. Journal of Computational Physics, 2009, 228(11): 3917-3935.
|
|
[33]
|
G. Pashos, M. E. Kavousanakis, A. N. Spyropoulos, J. A. Palyvos and A. G. Boudouvis. Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method. Journal of Computational and Applied Mathematics, 2009, 227(1): 196-205.
|
|
[34]
|
Y. Yan. The 3-D boundary element formulation of linear force-free magnetic fields with finite energy content in semi-infinite space. Solar Physics, 1995, 159(1): 97-113.
|
|
[35]
|
Y. Li, Y. Yan, M. Devel, R. Langlet and G. Song. The GMRES method applied to the BEM extrapolation of solar force-free magnetic fields I. Constant alpha force-free fields. Astronomy & Astrophysics, 2007, 470: 1185-1191.
|
|
[36]
|
柳有权, 尹康学, 吴恩华. 大规模稀疏线性方程组的GMRES-GPU快速求解算法[J]. 计算机辅助设计与图形学学报, 2011, 23(4): 553- 560.
|