Iterative introduction of integral approximations with error bounds in SCF calculations
β Scribed by J. A. Jafri; J. L. Whitten
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 352 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
Abstract
Another possible application of a previously reported approximation theory for electron repulsion integrals using rigorous error bounds is considered by incorporating the electron density matrix in the approximation scheme. Error bounds are set on the contribution of a given integral to the total energy for a given molecular waveβfunction; the waveβfunction is then refined cyclically and additional integrals are computed exactly if necessary until convergence is achieved.
π SIMILAR VOLUMES
## Abstract __Ab initio__ LCAO SCF MO CI calculations of naphthalene are carried out with a minimal basis set to test an integral approximation scheme proposed in a previous paper. When 71.3 and 53.0% of the twoβelectron integrals are neglected, the errors in the SCF total energy are only β0.0534 a
Let \(X\) be a real normed linear space, \(K\) be a nonempty and convex subset of \(X\) and \(T: K \rightarrow K\) be a uniformly continuous and hemicontractive mapping. It is shown that the Ishikawa iterative process with mixed errors converges strongly to the unique fixed point of \(T\). As conseq