Abstract:
We show that, under convenient hypotheses, partial elimination in nonlinear systems can be used to improve convergence in the Jacobi, Gauss-Seidel and Newton iterations. © 1993.
Referencias:
- Milaszewicz, Improving Jacobi and Gauss-Seidel iterations (1987) Linear Algebra and its Applications, 93, pp. 161-170
- Ortega, Rheinboldt, (1970) Iterative Solution of Nonlinear Equations in Several Variables, , Academic Press, New York
- Robert, Autour du théorème de Stein-Rosenberg (1976) Numerische Mathematik, 27, pp. 133-141
- Milaszewicz, On critically and the Stein-Rosenberg theorem (1981) SIAM Journal on Numerical Analysis, 18, pp. 559-564
- Ortega, (1972) Numerical Analysis—A Second Course, , Academic Press, New York
- Fan, Note on M-matrices (1960) The Quarterly Journal of Mathematics, 11 (2 Ser.()), pp. 43-49
Citas:
---------- APA ----------
Milaszewicz, J.P. & Abdel Masih, S.
(1993)
. Elimination and fixed point iterations. Computers and Mathematics with Applications, 25(5), 43-53.
http://dx.doi.org/10.1016/0898-1221(93)90197-4---------- CHICAGO ----------
Milaszewicz, J.P., Abdel Masih, S.
"Elimination and fixed point iterations"
. Computers and Mathematics with Applications 25, no. 5
(1993) : 43-53.
http://dx.doi.org/10.1016/0898-1221(93)90197-4---------- MLA ----------
Milaszewicz, J.P., Abdel Masih, S.
"Elimination and fixed point iterations"
. Computers and Mathematics with Applications, vol. 25, no. 5, 1993, pp. 43-53.
http://dx.doi.org/10.1016/0898-1221(93)90197-4---------- VANCOUVER ----------
Milaszewicz, J.P., Abdel Masih, S. Elimination and fixed point iterations. Comput Math Appl. 1993;25(5):43-53.
http://dx.doi.org/10.1016/0898-1221(93)90197-4