Convergence analysis of a one-step intermediate Newton iterative scheme

Livinus U. Uko; Raúl Eduardo Velásquez Ossa

Published

2001-01-01

Convergence analysis of a one-step intermediate Newton iterative scheme

Keywords:

Nonlinear equations, Newton's method, intermédiate Newton method, majorant error bounds (es)

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Authors

Livinus U. Uko Universidade Estadual Do Norte Fluminense
Raúl Eduardo Velásquez Ossa Universidad de Antioquia

Abstract (es)

We study a one-step intermediate_method for the iterative computation of a zero of the sum of two nonlinear operators. The proposed method contains Newton scheme and the Modified Newton scheme as special cases and therefore provides a unified setting for the study of both methods.

How to Cite

APA

Uko, L. U. and Velásquez Ossa, R. E. (2001). Convergence analysis of a one-step intermediate Newton iterative scheme. Revista Colombiana de Matemáticas, 35(1), 21–27. https://revistas.unal.edu.co/index.php/recolma/article/view/33812

ACM

[1]

Uko, L.U. and Velásquez Ossa, R.E. 2001. Convergence analysis of a one-step intermediate Newton iterative scheme. Revista Colombiana de Matemáticas. 35, 1 (Jan. 2001), 21–27.

ACS

(1)

Uko, L. U.; Velásquez Ossa, R. E. Convergence analysis of a one-step intermediate Newton iterative scheme. rev.colomb.mat 2001, 35, 21-27.

ABNT

UKO, L. U.; VELÁSQUEZ OSSA, R. E. Convergence analysis of a one-step intermediate Newton iterative scheme. Revista Colombiana de Matemáticas, [S. l.], v. 35, n. 1, p. 21–27, 2001. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33812. Acesso em: 22 jan. 2025.

Chicago

Uko, Livinus U., and Raúl Eduardo Velásquez Ossa. 2001. “Convergence analysis of a one-step intermediate Newton iterative scheme”. Revista Colombiana De Matemáticas 35 (1):21-27. https://revistas.unal.edu.co/index.php/recolma/article/view/33812.

Harvard

Uko, L. U. and Velásquez Ossa, R. E. (2001) “Convergence analysis of a one-step intermediate Newton iterative scheme”, Revista Colombiana de Matemáticas, 35(1), pp. 21–27. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33812 (Accessed: 22 January 2025).

IEEE

[1]

L. U. Uko and R. E. Velásquez Ossa, “Convergence analysis of a one-step intermediate Newton iterative scheme”, rev.colomb.mat, vol. 35, no. 1, pp. 21–27, Jan. 2001.

MLA

Uko, L. U., and R. E. Velásquez Ossa. “Convergence analysis of a one-step intermediate Newton iterative scheme”. Revista Colombiana de Matemáticas, vol. 35, no. 1, Jan. 2001, pp. 21-27, https://revistas.unal.edu.co/index.php/recolma/article/view/33812.

Turabian

Uko, Livinus U., and Raúl Eduardo Velásquez Ossa. “Convergence analysis of a one-step intermediate Newton iterative scheme”. Revista Colombiana de Matemáticas 35, no. 1 (January 1, 2001): 21–27. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33812.

Vancouver

1.

Uko LU, Velásquez Ossa RE. Convergence analysis of a one-step intermediate Newton iterative scheme. rev.colomb.mat [Internet]. 2001 Jan. 1 [cited 2025 Jan. 22];35(1):21-7. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33812