𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on Löwdin orthogonalization and the square root of a positive self-adjoint matrix

✍ Scribed by D. F. Scofield


Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
330 KB
Volume
7
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

A quadratically convergent process using a continued fraction method for finding the square root of the overlap matrix used in Löwdin orthogonalization is presented. The continued fraction method is compared to several other methods for finding the square root of a matrix. The method is found to be more efficient than the other methods when high accuracy is desired.