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Equations-of-motion method: Calculation of the k lowest or highest solutions

✍ Scribed by J. P. Flament; H. P. Gervais

Book ID
104579665
Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
425 KB
Volume
16
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The method of optimal relaxation to determine the eigenvalues of symmetric matrices, as proposed by Shavitt, has been adapted to solve the equation‐of‐motion problem. Matrices Z and Y are obtained by one diagonalization, while matrices A and B remain unchanged. This procedure is particularly useful for high‐dimensional or nonorthogonal bases, if one needs only the lowest transition energies.

πŸ“œ SIMILAR VOLUMES

The method of fundamental solutions for
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
✍ A. Karageorghis πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 256 KB

We investigate the application of the method of fundamental solutions (MFS) for the calculation of the eigenvalues of the Helmholtz equation in the plane subject to homogeneous Dirichlet boundary conditions. We present results for circular and rectangular geometries.