On the condition behaviour in the Jacobi method

SIAM Journal on Matrix Analysis and Applications

Volumn 17, Issue 3, 1996, Pages 509-514

  Drmač, Zlatko ^a  

^a UCB 450   (United States)

Author keywords

Accuracy; Condition behaviour; Jacobi method; Optimal scaling

Indexed keywords

EID: 0030514248     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0895479894261711     Document Type: Article

References (7)

1. J. DEMMEL, Open Problems in Numerical Linear Algebra, LAPACK Working Note 47, Computer Science Division and Mathematics Department, University of California, Berkeley, CA, 1992.
2. J. DEMMEL AND K. VESELIĆ, Jacobi's method is more accurate than QR, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 1204-1245.
3. Z. DRMAČ, Computing the Singular and the Generalized Singular Values, Ph.D. thesis, Lehrgebiet Mathematische Physik, University of Hagen, D-58084 Hagen, Germany, 1994.
4. G. E. FORSYTHE AND E. G. STRAUS, On best conditioned matrices, Proc. Amer. Math. Soc., 6 (1955), pp. 340-345.
5. C. G. J. JACOBI, Über ein leichtes Verfahren die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen, Crelle's J. für Reine und Angew. Math., 30 (1846), pp. 51-95.
6. W. F. MASCARENHAS, A note on Jacobi being more accurate than QR, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 215-218.
7. 0), University of Hagen, D-58084 Hagen, Germany, 1991, unpublished manuscript.