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A comparison of some methods for solving linear interval equations. (English) Zbl 0889.65022

Earlier results by E. R. Hansen [SIAM J. Numer. Anal. 29, No. 5, 1493-1503 (1992; Zbl 0756.65035)] and J. Rohn [Interval Comput. 4, 13-21 (1993; Zbl 0830.65019)] on computing bounds on solutions of a system of linear interval equations with unit midpoint matrix are extended to the case when the system matrix is an \(H\)-matrix. The bounds are exact when the midpoint matrix is diagonal. Some particular cases with inverse positive system matrices are also considered.
Reviewer: J.Rohn (Praha)

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
65G30 Interval and finite arithmetic

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