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A new algorithm for the symmetric (Löwdin) orthonormalization

✍ Scribed by Peter Scharfenberg

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
485 KB
Volume
12
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A new method for the numerical calculation of (inverse) square roots of real symmetric matrices is proposed. Simplicity of the algorithm, good numerical accuracy, short computational time and the possibility to solve the problem in an (n, n) array are some of its features; in addition a new theoretical view on this problem is presented.

📜 SIMILAR VOLUMES

A symmetric algorithm for Toeplitz syste
A symmetric algorithm for Toeplitz systems
✍ A. Melman 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 65 KB

We derive an algorithm for real symmetric Toeplitz systems with an arbitrary right-hand side. It differs from the Levinson algorithm in that the solution is built up from its middle component(s) outwards, rather than from top to bottom. We then exploit the symmetry of this method by solving separate