The roots of a polynomial depend continuously on its coefficients

Raúl Naulin; Carlos Pabst

Published

1994-01-01

The roots of a polynomial depend continuously on its coefficients

Keywords:

Lexicographic order, metric space, normed space, symmetric functions, roots of a polynomial, Fundamental Theorem of Algebra, continuous dependence on coefficients (es)

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Authors

Raúl Naulin Universidad de Valparaíso
Carlos Pabst Universidad de Valparaíso

Abstract (en)

An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.

How to Cite

APA

Naulin, R. and Pabst, C. (1994). The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas, 28(1), 35–37. https://revistas.unal.edu.co/index.php/recolma/article/view/33465

ACM

[1]

Naulin, R. and Pabst, C. 1994. The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas. 28, 1 (Jan. 1994), 35–37.

ACS

(1)

Naulin, R.; Pabst, C. The roots of a polynomial depend continuously on its coefficients. rev.colomb.mat 1994, 28, 35-37.

ABNT

NAULIN, R.; PABST, C. The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas, [S. l.], v. 28, n. 1, p. 35–37, 1994. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33465. Acesso em: 10 mar. 2025.

Chicago

Naulin, Raúl, and Carlos Pabst. 1994. “The roots of a polynomial depend continuously on its coefficients”. Revista Colombiana De Matemáticas 28 (1):35-37. https://revistas.unal.edu.co/index.php/recolma/article/view/33465.

Harvard

Naulin, R. and Pabst, C. (1994) “The roots of a polynomial depend continuously on its coefficients”, Revista Colombiana de Matemáticas, 28(1), pp. 35–37. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33465 (Accessed: 10 March 2025).

IEEE

[1]

R. Naulin and C. Pabst, “The roots of a polynomial depend continuously on its coefficients”, rev.colomb.mat, vol. 28, no. 1, pp. 35–37, Jan. 1994.

MLA

Naulin, R., and C. Pabst. “The roots of a polynomial depend continuously on its coefficients”. Revista Colombiana de Matemáticas, vol. 28, no. 1, Jan. 1994, pp. 35-37, https://revistas.unal.edu.co/index.php/recolma/article/view/33465.

Turabian

Naulin, Raúl, and Carlos Pabst. “The roots of a polynomial depend continuously on its coefficients”. Revista Colombiana de Matemáticas 28, no. 1 (January 1, 1994): 35–37. Accessed March 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33465.

Vancouver

1.

Naulin R, Pabst C. The roots of a polynomial depend continuously on its coefficients. rev.colomb.mat [Internet]. 1994 Jan. 1 [cited 2025 Mar. 10];28(1):35-7. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33465