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Orthogonalization of overlapping orbitals by optimal polynomials. I. Polynomials constructed from spectral radii

✍ Scribed by Øystein Ra


Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
624 KB
Volume
10
Category
Article
ISSN
0020-7608

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✦ Synopsis


Abstract

Inverses and inverse square roots of overlap matrices are approximated by polynomials constructed on the basis of an integral transform of the metric resolvent and Kublanovskaya's conformal mapping technique. Given reasonable upper and lower bounds for the support of the overlap matrix spectral distribution, the described expansions have significantly better convergence properties than the well known power series methods, yet retain the simplicity of these schemes.