论文信息 - On Adaptive Weighted

On Adaptive Weighted

Bernd Fischer and Roland W. FreundThe Research Institute for Advanced Computer Science is operated byUniversities Space Research Association (USRA),The American City Building, Suite 311, Columbia, MD 21044, (301)730-2656.Work reported herein was supported in part by Cooperative Agreement NCC2-387 between NASA and USRA.

Bernd Fischer | Roland Freund | R. Freund | B. Fischer

[1] R. Whitehead. Moment Methods and Lanczos Methods , 1980 .

[2] C. Micchelli,et al. Polynomial Preconditioners for Conjugate Gradient Calculations , 1983 .

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

[4] L. B. Smith,et al. Algorithm 414: Chebyshev approximation of continuous functions by a Chebyshev system of functions , 1967, CACM.

[5] Carl de Boor,et al. A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[6] R. E. Carlson,et al. Monotone Piecewise Cubic Interpolation , 1980 .

[7] H. Rutishauser. Theory of Gradient Methods , 1959 .

[8] F. Fritsch,et al. A Method for Constructing Local Monotone Piecewise Cubic Interpolants , 1984 .

[9] C. Lanczos. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .

[10] Thomas A. Manteuffel,et al. A Comparison of Adaptive Chebyshev and Least Squares Polynomial Preconditioning for Hermitian Positive Definite Linear Systems , 1992, SIAM J. Sci. Comput..

[11] M. Hestenes,et al. Methods of conjugate gradients for solving linear systems , 1952 .

[12] L. Shapley,et al. Geometry of Moment Spaces , 1953 .

[13] C. Lanczos. Chebyshev polynomials in the solution of large-scale linear systems , 1952, ACM '52.

[14] D. O’Leary. Yet another polynomial preconditioner for the conjugate gradient algorithm , 1991 .