Efficient Parallel Implementation of a Full Configuration Interaction Algorithm for Circular Polyenes On a Cray Y-Mp

An efficient implementation on the CRAY Y-MP of a new full configuration interaction algorithm is illus trated on a model problem. This shows how a careful optimization can lead to huge speedups in CPU times and interesting speedups in the overall elapsed times. The implementation takes full advantage of the algo rithm's characteristics, with a full vectorization of the heaviest innermost loops and parallelization of the im mediately outer loops.

[1]  M. J. Boyle,et al.  Cluster analysis of the full configuration interaction wave functions of cyclic polyene models , 1982 .

[2]  Ron Shepard,et al.  A data compression method applicable to first‐order convergent iterative procedures , 1990 .

[3]  Josef Paldus,et al.  Vectorizable approach to molecular CI problems using determinantal basis , 1989 .

[4]  Robert G. Parr,et al.  A Semi‐Empirical Theory of the Electronic Spectra and Electronic Structure of Complex Unsaturated Molecules. II , 1953 .

[5]  Nicholas C. Handy,et al.  Multi-root configuration interaction calculations , 1980 .

[6]  J. Pople,et al.  Electron interaction in unsaturated hydrocarbons , 1953 .

[7]  Jeppe Olsen,et al.  Determinant based configuration interaction algorithms for complete and restricted configuration interaction spaces , 1988 .

[8]  E. Davidson The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[9]  Josef Paldus,et al.  Coupled-cluster approach to electron correlation in one dimension. II. Cyclic polyene model in localized basis , 1984 .

[10]  Stefano Evangelisti,et al.  Effective Hamiltonians for extended systems: cyclic polyenes in the PPP approximation , 1992 .

[11]  J. Olsen,et al.  Passing the one-billion limit in full configuration-interaction (FCI) calculations , 1990 .

[12]  Peter J. Knowles,et al.  A new determinant-based full configuration interaction method , 1984 .

[13]  Yngve Öhrn,et al.  Derivation and Analysis of the Pariser-Parr-Pople Model , 1968 .

[14]  Piecuch,et al.  Coupled-cluster approaches with an approximate account of triexcitations and the optimized-inner-projection technique. III. Lower bounds to the ground-state correlation energy of cyclic-polyene model systems. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[15]  Robert J. Harrison,et al.  An efficient implementation of the full-CI method using an (n–2)-electron projection space , 1989 .

[16]  Stefano Evangelisti,et al.  Full-CI calculations of alternant cyclic polyenes (CH)N, N=2, 4, 6, ƒ 18, in the PPP approximation , 1991 .

[17]  Peter J. Knowles,et al.  Very large full configuration interaction calculations , 1989 .

[18]  Takahashi,et al.  Coupled-cluster approach to electron correlation in one dimension. II. Cyclic polyene model in localized basis. , 1984, Physical review. B, Condensed matter.

[19]  Peter J. Knowles,et al.  Unlimited full configuration interaction calculations , 1989 .

[20]  Per E. M. Siegbahn,et al.  A new direct CI method for large CI expansions in a small orbital space , 1984 .