Band reduction algorithms revisited

ACM Transactions on Mathematical Software

Volumn 26, Issue 4, 2000, Pages 551-567

  Kaufman, Linda ^a  

^a NONE   (United States)

Author keywords

Banded matrix; Eigenvalues

Indexed keywords

EID: 0038424356     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/365723.365733     Document Type: Article

References (8)

1. ANDERSON, E., BAI, Z., BISCHOF, C., BLACKFORD, L. S., DEMMEL, J., DONGARRA, J., Du CROZ, J., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., AND SORENSON, D. 1999. LAPACK Users's Guide. 3rd ed. SIAM, Philadelphia, PA.
2. ANDERSON, E., BAI, Z., BISCHOF, C., DEMMEL, J., DONGARRA, J., DUCROZ, J., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., OSTROUCHOV, S., AND SORENSEN, D. 1995. LAPACK Users' Guide. 2nd ed. SIAM, Philadelphia, PA.
3. BISCHOF, C. H., LANG, B., AND SUN, X. 1996. A framework for symmetric band reduction. BUGHW-SC-96/3 also ANL/MCS-P586-0496. Fachbereich Mathematik, Bergische Universität, Wuppertal, Germany.
4. CRAWFORD, C. R. 1973. Reduction of a band-symmetric generalized eigenvalue problem. Commun. ACM 16, 1 (Jan.), 41-44.
5. LANG, B. 1993. A parallel algorithm for reducing symmetric banded matrices to tridiagonal form. SIAM J. Sci. Comput. 14, 6 (Nov.), 1320-1338.
6. KAUFMAN, L. 1984. Banded eigenvalue solvers on vector machines. ACM Trans. Math. Softw. 10, 1 (Mar.), 73-86.
7. SCHWARZ, H. R. 1968. Tridiagonalization of a symmetric band matrix. Numer. Math. 12, 231-241.
8. SMITH, B. T., BOYLE, J. M., DONGARRA, J. J., GARBOW, B. S., IKEBE, Y., KLEMA, V. C., AND MOLER, C. B. 1976. Matrix Eigensystem Routines - : EISPACK Guide. Springer-Verlag, Berlin, Germany.