Numerical Gram-Schmidt Orthonormalization

Authors

Charles M. Werneth, University of Southern MississippiFollow
Mallika Dhar, University of Southern Mississippi
Khin Maung Maung, University of Southern MississippiFollow
Christopher J. Sirola, University of Southern MississippiFollow
John W. Norbury, NASA Langley Research CenterFollow

Document Type

Article

Publication Date

5-1-2010

Department

Physics and Astronomy

Abstract

A numerical Gram-Schmidt orthonormalization procedure is presented for constructing an orthonormal basis function set from a non-orthonormal set, when the number of basis functions is large. This method will provide a pedagogical illustration of the Gram-Schmidt procedure and can be presented in classes on numerical methods or computational physics.

Comments

doi:10.1088/0143-0807/31/3/027

Publication Title

European Journal of Physics

Volume

31

Issue

3

First Page

693

Last Page

700

Recommended Citation

Werneth, C. M., Dhar, M., Maung, K. M., Sirola, C. J., Norbury, J. W. (2010). Numerical Gram-Schmidt Orthonormalization. European Journal of Physics, 31(3), 693-700.
Available at: https://aquila.usm.edu/fac_pubs/920