Minimal Degree Solutions for the Bezout Equation

Authors

E. Ballico, Scuola Normale Superiore
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

1987

Abstract

We prove two results on the existence of bounds on the (global) degrees of polynomials Xt, solutions to the Bezout equation AtXt + ... + ArXr= C, with At, C, Xi in C[xlt ..., x„]. In the first theorem we require an algebraic hypothesis on the maximum degree homogeneous component of Alt ...,Ar, while the second result holds for all Bezout equations, but r = 2 is needed. Several variations and examples are discussed.

Comments

This article was originally published in Kybernetika, volume 23, issue 5, in 1987.

Recommended Citation

Ballico, E., & Struppa, D.C. (1987). Minimal degree solutions for the Bezout equation. Kybernetika 23(5), 360-364. Retrieved from http://dml.cz/bitstream/handle/10338.dmlcz/125882/Kybernetika_23-1987-5_2.pdf

Peer Reviewed

1

Copyright

Institute of Information Theory and Automation