An algebraic model for the propagation of errors in matrix calculus

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,...

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Bibliographic Details
Main Authors: Van Tran Nam, van den Berg Imme
Format: Article
Language:English
Published: De Gruyter 2020-03-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2020-0008