A vectorial approach to generalize the remainder theorem

We propose a new computational proof for the division algorithm that, usingvector algebra, generalizes the remainder theorem to divisions for polynomials of any degreeover a generic integral domain. Then, we extend this result to calculate the pseudo-divisions.Later, starting from the previous theor...

• Autore principale: Hidalgo Rosas, Marcos A. (author)
• Altri autori: Laudano, Francesco (author)
• Natura: article
• Pubblicazione: 2022
• Soggetti: Polynomial pseudo-division; Pseudo-remainder; Algorithm; Matlab code.
• Accesso online: http://repositorio.ikiam.edu.ec/jspui/handle/RD_IKIAM/594