Parallel Algorithms to Evaluate Orthogonal Polynomial Series
暂无分享,去创建一个
[1] G. Forsythe. Generation and Use of Orthogonal Polynomials for Data-Fitting with a Digital Computer , 1957 .
[2] Francis J. Smith,et al. An algorithm for summing orthogonal polynomial series and their derivatives with applications to curve-fitting and interpolation , 1965 .
[3] Ayse Kiper,et al. Modified Dorn's Algorithm with Improved Speed-Up , 1996, PARA.
[4] Jack J. Dongarra,et al. Solving linear systems on vector and shared memory computers , 1990 .
[5] U. Meier. A parallel partition method for solving banded systems of linear equations , 1985 .
[6] Lei Li,et al. A Simple Parallel Algorithm for Polynomial Evaluation , 1996, SIAM J. Sci. Comput..
[7] David J. Kuck,et al. Practical Parallel Band Triangular System Solvers , 1978, TOMS.
[8] Richard E. Overill,et al. Performance of Parallel Algorithms for the Evaluation of Power Series , 1994, Parallel Comput..
[9] R. Barrio,et al. Parallel evaluation of Chebyshev and trigonometric series , 1999 .
[10] S. Lennart Johnsson,et al. Solving narrow banded systems on ensemble architectures , 1985, TOMS.
[11] Kiyoshi M. Maruyama,et al. On the Parallel Evaluation of Polynomials , 1973, IEEE Transactions on Computers.
[12] P. Swarztrauber. A parallel algorithm for solving general tridiagonal equations , 1979 .
[13] Ayse Kiper,et al. Parallel Polynomial Evaluation by Decoupling Algorithm , 1996, Parallel Algorithms Appl..
[14] Plamen Y. Yalamov. Stability of a Partitioning Algorithm for Bidiagonal Systems , 1997, Parallel Comput..
[15] Plamen Y. Yalamov. Stability of Parallel Bidiagonal Solvers , 1994, PARA.
[16] R. P. Soni,et al. Formulas and Theorems for the Special Functions of Mathematical Physics , 1967 .
[17] Roberto Barrio,et al. A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment , 1998, SIAM J. Sci. Comput..
[18] Harold S. Stone,et al. Parallel Tridiagonal Equation Solvers , 1975, TOMS.
[19] R. Askey. Orthogonal Polynomials and Special Functions , 1975 .
[20] H. H. Wang,et al. A Parallel Method for Tridiagonal Equations , 1981, TOMS.
[21] J. Ian Munro,et al. Optimal Algorithms for Parallel Polynomial Evaluation , 1971, J. Comput. Syst. Sci..
[22] Nicholas J. Higham,et al. The Accuracy of Floating Point Summation , 1993, SIAM J. Sci. Comput..
[23] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[24] C. W. Clenshaw. A note on the summation of Chebyshev series , 1955 .
[25] S. Johnsson. Solving tridiagonal systems on ensemble architectures , 1987 .
[26] Jack J. Dongarra,et al. Solving banded systems on a parallel processor , 1987, Parallel Comput..
[27] Roberto Barrio,et al. Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series , 1998, J. Univers. Comput. Sci..