RT Journal Article
T1 A canonical form for the continuous piecewise polynomial  functions.
A1 Caravantes, Jorge
A1 Gómez-Molleda, María de los  Ángeles
A1 González Vega, Laureano
K1 Funciones (Matemáticas)
K1 Álgebra abstracta
K1 Algoritmos computacionales
AB We present in this paper a canonical form for the elements in the ring of continuous piecewise polynomial functions. This new representation is based on the use of a particular class of functions {C_i(P) : P in Q[x], i = 0, ..., deg(P)} defined by C_i(P)(x) = 0 if x is at most a and P(x) if x is at least a, where is the i-th real root of the polynomial P. These functions will allow us to represent and manipulate easily every continuous piecewise polynomial function through the use of the corresponding canonical form. It will be also shown how to produce a "rational" representation of each function C_i(P) allowing its evaluation by performing only operations in Q and avoiding the use of any real algebraic number.
PB Elsevier
YR 2015
FD 2015-08-01
LK https://hdl.handle.net/10630/40421
UL https://hdl.handle.net/10630/40421
LA eng
NO Journal of Computational and Applied Mathematics, 2015, 283(1), 17-27
NO https://openpolicyfinder.jisc.ac.uk/id/publication/11429
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026