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Ratschek, H.; Sauer, W.
Linear interval equations. (English) Zbl 0468.65025
Computing 28, 105-115 (1982).
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Cited in 9 Documents
MSC:
65G30 Interval and finite arithmetic
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
Keywords:
linear interval equations; existence; uniqueness; solution set; convexity
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\textit{H. Ratschek} and \textit{W. Sauer}, Computing 28, 105--115 (1982; Zbl 0468.65025)
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References:
[1] Beeck, H.: Charakterisierung der Lösungsmenge von Intervallgleichungssystemen. ZAMM53, T181-T182 (1973). · Zbl 0259.65048
[2] Beeck, H.: Zur Problematik der Hüllenbestimmung von Intervallgleichungssystemen. In [6],. 150–159. · Zbl 0303.65025
[3] Burger, E.: Über homogene lineare Ungleichungssysteme. ZAMM36, 135–139 (1956). · Zbl 0075.12701 · doi:10.1002/zamm.19560360308
[4] Jahn, U.: Eine Theorie der Gleichungssysteme mit Intervallkoeffizienten. ZAMM54, 405–412 (1974). · Zbl 0284.65022 · doi:10.1002/zamm.19740540605
[5] Moore, R. E.: Interval analysis. Englewood Cliffs, N. J.: Prentice-Hall 1966. · Zbl 0176.13301
[6] Nickel, K. (ed.): Interval mathematics. Berlin-Heidelberg-New York: Springer 1975. · Zbl 0293.00021
[7] Ratschek, H.: Die Subdistributivität in der Intervallarithmetik. ZAMM51, 189–192 (1971). · Zbl 0214.40902 · doi:10.1002/zamm.19710510305
[8] Ratschek, H.: Teilbarkeitskriterien in der Intervallarithmetik. J. Reine Angew. Math.252, 128–138 (1972). · Zbl 0237.65032 · doi:10.1515/crll.1972.252.128
[9] Ratschek, H.: Nichtnumerische Aspekte der Intervallarithmetik. In [6],. 48–74. · Zbl 0303.65039
[10] Sauer, W.: Intervallarithmetische Gleichungssysteme. Dissertation, Universität Düsseldorf, 1977.
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