The application of Leja points to Richardson iteration and polynomial preconditioning

[1]  Lloyd N. Trefethen,et al.  A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems , 1992, SIAM J. Matrix Anal. Appl..

[2]  Courtenay T. Vaughan,et al.  Efficient Polynomial Preconditioning for the Conjugate Gradient Method , 1990, SIAM J. Sci. Comput..

[3]  L. Reichel Newton interpolation at Leja points , 1990 .

[4]  T. Manteuffel,et al.  Adaptive polynomial preconditioning for hermitian indefinite linear systems , 1989 .

[5]  H. Tal-Ezer Polynomial approximation of functions of matrices and applications , 1989 .

[6]  Richard S. Varga,et al.  On hybrid semi-iterative methods , 1989 .

[7]  Lothar Reichel,et al.  Polynomials by Conformal Mapping for the Richardson Iteration Method for Complex Linear Systems , 1988 .

[8]  L. Reichel,et al.  A stable Richardson iteration method for complex linear systems , 1988 .

[9]  P. Saylor,et al.  An optimum iterative method for solving any linear system with a square matrix , 1988 .

[10]  William B. Gragg,et al.  On the application of orthogonal polynomials to the iterative solution of linear systems of equations with indefinite or non-Hermitian matrices , 1987 .

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

[12]  Richard S. Varga,et al.  A study of semiiterative methods for nonsymmetric systems of linear equations , 1985 .

[13]  Gerhard Opfer,et al.  Richardson's iteration for nonsymmetric matrices , 1984 .

[14]  Michael Eiermann,et al.  On the Construction of Semi-Iterative Methods , 1983 .

[15]  Richard S. Varga,et al.  The analysis ofk-step iterative methods for linear systems from summability theory , 1983 .

[16]  G. Marchuk Methods of Numerical Mathematics , 1982 .

[17]  John R. Rice,et al.  Extremal Polynomials with Application to Richardson Iteration for Indefinite Linear Systems , 1982 .

[18]  Gene H. Golub,et al.  Richardson''s non-stationary matrix iterative procedure. , 1972 .

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

[20]  David M. Young,et al.  On Richardson's Method for Solving Linear Systems with Positive Definite Matrices , 1953 .

[21]  J. Walsh Interpolation and Approximation by Rational Functions in the Complex Domain , 1935 .

[22]  L. Trefethen Approximation theory and numerical linear algebra , 1990 .

[23]  H. Elman,et al.  Polynomial iteration for nonsymmetric indefinite linear systems , 1986 .

[24]  A. A. Samarskiĭ Theorie der Differenzenverfahren , 1984 .

[25]  G. Golub Matrix computations , 1983 .

[26]  V. Lebedev,et al.  Utilization of ordered chebyshev parameters in iterative methods , 1976 .

[27]  V. I. Lebedev,et al.  Solution of the parameter ordering problem in Chebyshev iterative methods , 1974 .

[28]  A. A. Samarskii,et al.  Selection of the iterative parameters in Richardson's method☆ , 1972 .

[29]  Louis A. Hageman,et al.  Iterative Solution of Large Linear Systems. , 1971 .

[30]  V. I. Lebedev,et al.  Ordering of the iterative parameters in the cyclical Chebyshev iterative method , 1971 .

[31]  V. I. Lebedev,et al.  Iterative methods for solving operator equations with a spectrum contained in several intervals , 1969 .

[32]  Ch. Pommerenke,et al.  On the derivative of a polynomial. , 1959 .

[33]  F. Leja Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme , 1957 .

[34]  Albert Edrei,et al.  Sur les déterminants récurrents et les singularités d'une fonction donnée par son développement de Taylor , 1939 .