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pro vyhledávání: '"van Tran, Nam"'
Autor:
Van Tran, Nam, Berg, Imme van den
Flexible systems are linear systems of inclusions in which the elements of the coefficient matrix are external numbers in the sense of nonstandard analysis. External numbers represent real numbers with small, individual error terms. Using Gaussian el
Externí odkaz:
http://arxiv.org/abs/2302.12763
Autor:
Long, Yun, Pacini, Alberto, Ferrario, Mauro, Van Tran, Nam, Peeters, S., Thiebaut, Benoit, Loehlé, Sophie, Martin, Jean Michel, Righi, M. Clelia, De Barros Bouchet, Maria-Isabel
Publikováno v:
In Carbon September 2024 228
Autor:
Van Tran, Nam, Berg, Imme van den
A Lagrange multiplier theorem is derived for the case of an imprecise objective function and a precise constraint. The proof uses methods of analysis which deal in a direct, algebraic way with imprecisions. They include imprecise differentiation, and
Externí odkaz:
http://arxiv.org/abs/2106.14569
The elements of the successive intermediate matrices of the Gauss-Jordan elimination procedure have the form of quotients of minors. Instead of the proof using identities of determinants of \cite{Li}, a direct proof by induction is given.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2010.01085
The explicit formula for the elements of the successive intermediate matrices of the Gauss-Jordan elimination procedure for the solution of systems of linear equations is applied to error analysis. Stability conditions in terms of relative uncertaint
Externí odkaz:
http://arxiv.org/abs/2005.10647
Publikováno v:
In Journal of Alloys and Compounds 5 December 2023 966
Autor:
van Tran, Nam, Berg, Imme van den
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) set having the group property. The algebra o
Externí odkaz:
http://arxiv.org/abs/1907.12948
Autor:
Van Tran Nam, van den Berg Imme
Publikováno v:
Special Matrices, Vol 8, Iss 1, Pp 68-97 (2020)
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
Externí odkaz:
https://doaj.org/article/eecfb397e59b4f13b209856660b83638
Autor:
Van Tran, Nam, Berg, Imme van den
Flexible systems are linear systems of inclusions in which the elements of the coefficient matrix are external numbers in the sense of nonstandard analysis. External numbers represent real numbers with small, individual error terms. Using Gaussian el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e27ebb5eed0034d641cca2ef9cea4d5a
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