Optimum parameters for the generalized ADI method

Numerische Mathematik

Volumn 80, Issue 3, 1998, Pages 377-395

  Le Bailly, B ^a   Thiran, J P ^a  

^a UNIVERSITY OF NAMUR   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032327363     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050372     Document Type: Article

References (17)

1. Abramowitz, M., Stegun, I.A. (1972): Handbook of Mathematical Functions. Dover, New York
2. Achieser, N.I. (1990): Elements of the Theory of Elliptic Functions. American Mathematical Society, Providence
3. Braess, D. (1986): Nonlinear Approximation Theory. Springer, Berlin
4. Calvetti, D., Reichel, L. (1996): Application of the ADI iterative methods to the restoration of noisy images. SIAM J. Matrix Anal. Appl. 17, 165-186
5. Ellner, N.S., Wachspress, E.L. (1991): Alternating direction implicit iteration for systems with complex spectra. SIAM J. Numer. Anal. 28, 859-870
6. Gaier, D., Todd, J. (1967): On the rate of convergence of optimal ADI processes. Numer. Math. 9, 452-459
7. Gonchar, A.A. (1969): Zolotarev problems connected with rational functions. Math. USSR Sbornik 7, 623-635
8. Grodshteyn, I.S., Ryzhik, I.M. (1980): Table of Integrals, Series and Products. Academic Press, New York
9. Istace, M.P., Thiran, J.P. (1995): On the third and fourth Zolotarev problems in the complex plane. SIAM J. Numer. Anal. 32, 249-259
10. Levenberg, N., Reichel, L. (1993): A generalized ADI iterative method. Numer. Math. 66, 215-233
11. Levin, A.L., Saff, E.B. (1994): Optimal ray sequences of rational functions connected with the Zolotarev problem. Constr. Approx. 10, 235-273
12. Levin, A.L., Saff, E.B. (1996): Erratum: Optimal ray sequences of rational functions connected with the Zolotarev problem. Constr. Approx. 12, 437-438
13. Starke, G. (1991): Optimal alternating direction implicit parameters for nonsymmetric systems of linear equations. SIAM J. Numer. Anal. 28, 1431-1445
14. Starke, G. (1992): Near-circularity for the rational Zolotarev problem in the complex plane. J. Approx. Theory 70, 115-130
15. Starke, G. (1993): Fejér-Walsh points for rational functions and their use in the ADI iterative method. J. Comput. Appl. Math. 46, 129-141
16. Todd, J. (1984): Applications of transformation theory: A legacy from Zolotarev (1847-1878). In: S.P. Singh et al., eds. Approximation Theory and Spline Functions, pp. 207-245. Reidel, Dordrecht
17. Wachspress, E.L. (1966): Iterative Solution of Elliptic Systems. Prentice-Hall, Englewood Cliffs