Curvy steps for density matrix-based energy minimization: Application to large-scale self-consistent-field calculations
- 8 April 2003
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 118 (14) , 6144-6151
- https://doi.org/10.1063/1.1558476
Abstract
A unitary transformation approach to avoiding the diagonalization step in density functional theory calculations is developed into an algorithm that can scale linearly with molecular size. For target accuracy of 10 −5 in the rms rotation gradient, the average number of matrix multiples required per self-consistent field iteration is between about 35 (STO-3G) and 50 (6-31G* *). This compares favorably to the existing canonical purification method. Crossovers with direct diagonalization are demonstrated for 1D alkane chains and 2D water clusters.Keywords
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