ALGORITHM 721 - MTIEU1 AND MTIEU2 - 2 SUBROUTINES TO COMPUTE EIGENVALUES AND SOLUTIONS TO MATHIEU DIFFERENTIAL-EQUATION FOR NONINTEGER AND INTEGER ORDER

Authors
Citation
Rb. Shirts, ALGORITHM 721 - MTIEU1 AND MTIEU2 - 2 SUBROUTINES TO COMPUTE EIGENVALUES AND SOLUTIONS TO MATHIEU DIFFERENTIAL-EQUATION FOR NONINTEGER AND INTEGER ORDER, ACM transactions on mathematical software, 19(3), 1993, pp. 391-406
Citations number
7
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Computer Sciences",Mathematics
ISSN journal
0098-3500
Volume
19
Issue
3
Year of publication
1993
Pages
391 - 406
Database
ISI
SICI code
0098-3500(1993)19:3<391:A7-MAM>2.0.ZU;2-D
Abstract
Two FORTRAN routines are described which calculate eigenvalues and eif enfunctions of Mathieu's differential equation for noninteger as well as integer order. MTIEU1 uses standard matrix techniques with dimensio n parameterized to give accuracy in the eigenvalue of one part in 10(1 2). MTIEU2 used continued fraction techniques and is optimized to give accuracy in the eigenvalue of one part in 10(14). The limitations of the algorithms are also discussed and illustrated.