Numerical Gram–Schmidt orthonormalization

Charles M Werneth, Mallika Dhar, Khin Maung Maung, Christopher Sirola, John W Norbury
2010 European journal of physics  
Please note that terms and conditions apply. You may also be interested in: Testing the master constraint programme for loop quantum gravity: II B Dittrich and T Thiemann The inverse eigenvalue problem for the discrete Sturm--Liouville operator V M Chabanov Variational method using basis functions Charles M Werneth, Mallika Dhar, Khin Maung Maung et al. Exact analytical results for quantum walks on star graph Xin-Ping Xu Block orthogonal polynomials Jean-Marie Normand Influence of kinetic
more » ... ce of kinetic effects on the spectrum of a parallel electrode probe J Oberrath and R P Brinkmann Representations of coherent states in non-orthogonal bases 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.
doi:10.1088/0143-0807/31/3/027 fatcat:x5yolrvg3bctpjzpxq76xehose