Conjugate gradient type methods and preconditioning

[1]  G. Forsythe,et al.  On best conditioned matrices , 1955 .

[2]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[3]  A. Sluis.  Condition numbers and equilibration of matrices , 1969 .

[4]  R. Fletcher.  Conjugate gradient methods for indefinite systems , 1976 .

[5]  A. Jennings.  Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method , 1977 .

[6]  J. Meijerink,et al.  An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix , 1977 .

[7]  T. Manteuffel.  The Tchebychev iteration for nonsymmetric linear systems , 1977 .

[8]  I. Gustafsson.  A class of first order factorization methods , 1978 .

[9]  Kang C. Jea,et al.  Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods , 1980 .

[10]  B. Parlett.  A new look at the Lanczos algorithm for solving symmetric systems of linear equations , 1980 .

[11]  H. V. D. Vorst,et al.  Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems☆ , 1981 .

[12]  J. Meijerink,et al.  Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems , 1981 .

[13]  S. Eisenstat.  Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods , 1981 .

[14]  Michael A. Saunders,et al.  LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.

[15]  Arthur Veldman,et al.  On Local Relaxation Methods and Their Application to Convection-Diffusion Equations , 1982 .

[16]  Gene H. Golub,et al.  Matrix computations , 1983 .

[17]  J. Verwer,et al.  Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations , 1984 .

[18]  G. Golub,et al.  Block Preconditioning for the Conjugate Gradient Method , 1985 .

[19]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[20]  O. Axelsson,et al.  On the rate of convergence of the preconditioned conjugate gradient method , 1986 .

[21]  H. V. D. Vorst,et al.  The rate of convergence of Conjugate Gradients , 1986 .

[22]  O. Axelsson,et al.  On the eigenvalue distribution of a class of preconditioning methods , 1986 .

[23]  Y. Saad,et al.  On the Lánczos method for solving symmetric linear systems with several right-hand sides , 1987 .

[24]  H. V. D. Vorst,et al.  An iterative solution method for solving f ( A ) x = b , using Krylov subspace information obtained for the symmetric positive definite matrix A , 1987 .

[25]  H. V. D. Vorst,et al.  The convergence behavior of ritz values in the presence of close eigenvalues , 1987 .

[26]  P. Sonneveld.  CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .