Geodesic
A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices
Applications of Mathematics, Tome 38 (1993) no. 3, pp. 205-220.

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A necessary and sufficient to guarantee feasibility of the interval Gaussian algorithms for a class of matrices. We apply the interval Gaussian algorithm to an $n \times n$ interval matrix $[A]$ the comparison matrix $\left\langle [A]\right\rangle$ of which is irreducible and diagonally dominant. We derive a new necessary and sufficient criterion for the feasibility of this method extending a recently given sufficient criterion.
DOI : 10.21136/AM.1993.104547
Classification : 65F05, 65F10, 65G10, 65G30
Keywords: linear interval equations; Gaussian algorithm; interval Gaussian algorithm; linear systems of equations; criteria of feasibility; interval analysis 
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     title = {A necessary and sufficient criterion to guarantee feasibility of the interval {Gaussian} algorithm for a class of matrices},
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Mayer, Günter; Pieper, Lars. A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices. Applications of Mathematics, Tome 38 (1993) no. 3, pp. 205-220. doi : 10.21136/AM.1993.104547. http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104547/

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