The New qd Algorithms

Acta Numerica

Volumn 4, Issue , 1995, Pages 459-491

  Parlett, Beresford N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008832105     PISSN: 09624929     EISSN: 14740508     Source Type: Journal    
DOI: 10.1017/S0962492900002580     Document Type: Article

References (11)

1. Demmel J. and Kahan W. (1990), ‘Accurate singular values of bidiagonal matrices’, SIAM J. Sci. Sta. Comput. 11, 873–912
2. Fernando K. V. and Parlett B. N. (1994), ‘Accurate singular values and differential qd algorithms’, Numerische Mathematik 67, 191–229
3. Henrici P. (1958), ‘The quotient-difference algorithm’, Nat. Bur. Standards Appl. Math. Series 19, 23–46.
4. Mathias R. (1994), ‘The instability of parallel prefix matrix multiplication’, preprint, Dept. of Mathematics, College of William and Mary, Williamsburg, VA 23187.
5. Parlett B. N. (1992), ‘Reduction to tridiagonal form and minimal realizations’, SIAM J. on Matrix Analysis and Applications 13, 567–593
6. Parlett B. N. (1994) ‘Orthogonal eigenvectors for symmetric tridiagonals’, to appear.
7. Rutishauser H. (1954), ‘Der Quotienten-Differenzen-Algorithmus’, Z. Angew. Math. Phys. 5, 233–251
8. Rutishauser H. (1958), ‘Solution of eigenvalue problems with the LR-transformation’, Nat. Bur. Standards Appl. Math. Series 49, 47–81
9. Rutishauser H. (1960), ‘Uber eine kubisch konvergente Variante der LR-Transformation’, Z. Angew. Math. Mech. 11, 49–54
10. Rutishauser H. (1990), Lectures on Numerical Mathematics, Birkhäuser, Boston. 10.1007/978-1-4612-3468-5
11. Yang Yao (1994) ‘Backward error analysis for dqds’, submitted for publication.