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A two-sequence method for linear interval equations

Eine Zweisequenzmethode für lineare Gleichungssysteme

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Abstract

It is shown that only two matrix sequences are to be constructed to solve a system of linear interval equations with an inverse stable, strongly regular interval matrix.

Zusammenfassung

Es wird gezeigt, daß nur zwei Matrizensequenzen zu konstruieren sind, um ein lineares Intervallgleichungssystem mit einer invers-stabilen, streng regulären Intervallmatrix zu lösen.

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References

  1. Neumaier, A.: Linear Interval Equations. In: Interval Mathematics 1985 (K. Nickel, ed.), pp. 109–120. Lecture Notes in Computer Science 212. Springer 1986.

  2. Rohn, J.: An Algorithm for Solving Interval Linear Systems and Inverting Interval Matrices, Freiburger Intervall-Berichte 82/5, 23–36.

  3. Rohn, J.: Solving Interval Linear Systems. Freiburger Intervall-Berichte 84/7, 1–14.

  4. Rohn, J.: Proofs to “Solving Interval Linear Systems”. Freiburger Intervall-Berichte 84/7, 17–30.

  5. Rohn, J.: Some Results on Interval Linear Systems. Freiburger Intervall-Berichte 85/4, 93–116.

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Rohn, J. A two-sequence method for linear interval equations. Computing 41, 137–140 (1989). https://doi.org/10.1007/BF02238736

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  • DOI: https://doi.org/10.1007/BF02238736

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