论文信息 - Parallel solution of almost block diagonal systems on the CRAY Y-MP using level 3 BLAS

Parallel solution of almost block diagonal systems on the CRAY Y-MP using level 3 BLAS

Abstract In a recent publication (1992), the authors showed how efficient a new level 3 BLAS algorithm for almost block diagonal systems could be using just one processor of a CRAY Y-MP. Here they compare the corresponding results for up to eight processors using standard CRAY Library parallel implementations of the level 3 BLAS.

Marcin Paprzycki | Ian Gladwell | I. Gladwell | M. Paprzycki

[1] Marcin Paprzycki,et al. Using Level 3 BLAS to Solve Almost Block Diagonal Systems , 1991, SIAM Conference on Parallel Processing for Scientific Computing.

[2] Nicholas J. Higham,et al. FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation , 1988, TOMS.

[3] Michel J. Daydé,et al. Level 3 Blas in Lu Factorization On the Cray-2, Eta-10P, and Ibm 3090-200/Vf , 1989, Int. J. High Perform. Comput. Appl..

[4] Ian Gladwell,et al. Codes for almost block diagonal systems , 1990 .

[5] Jack J. Dongarra,et al. A set of level 3 basic linear algebra subprograms , 1990, TOMS.

[6] Stephen J. Wright. Stable parallel elimination for boundary value odes , 1994 .

[7] Robert D. Russell,et al. Collocation Software for Boundary-Value ODEs , 1981, TOMS.

[8] Marcin Paprzycki,et al. Solving almost block diagonal systems on parallel computers , 1991, Parallel Comput..

[9] H. Keller. Numerical Solution of Two Point Boundary Value Problems , 1976 .

[10] J. Varah. Alternate Row and Column Elimination for Solving Certain Linear Systems , 1976 .

[11] V. Pereyra,et al. An adaptive finite difference solver for nonlinear two point boundary problems with mild boundary layers. , 1975 .