An algebraic model for the propagation of errors in matrix calculus

Autor: Van Tran Nam, van den Berg Imme
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Special Matrices, Vol 8, Iss 1, Pp 68-97 (2020)
Druh dokumentu: article
ISSN: 2300-7451
DOI: 10.1515/spma-2020-0008
Popis: We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group. The algebraic properties of external numbers formalize common error analysis, with rules for calculation which are a sort of mellowed form of the axioms for real numbers.
Databáze: Directory of Open Access Journals