Fundamentals of SIGLA, an interval computing system over the completed set of intervals

DOI10.1007/BF02281722zbMath0466.65025OpenAlexW376987247MaRDI QIDQ1155335

Albert Trepat, Ernest Gardeñes

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02281722

zbMATH Keywords

bounded fuzzy distributionscompleted set of intervalsinterval computing system

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Theory of software (68N99)

Related Items (10)

Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Inner estimation of the united solution set of interval linear algebraic system ⋮ Inner and outer bounds for the solution set of parametric linear systems ⋮ Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic ⋮ Interval methods that are guaranteed to underestimate (and the resulting new justification of Kaucher arithmetic) ⋮ On the Solution of Parametrised Linear Systems ⋮ Extended interval Newton method based on the precise quotient set ⋮ Unnamed Item ⋮ Continuous minimax optimization using modal intervals ⋮ Stochastic dynamics simulation with generalized interval probability

Uses Software

• ALGOL 60

Cites Work

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• Die Überschätzung des Wertebereichs einer Funktion in der Intervallrechnung mit Anwendungen auf lineare Gleichungssysteme
• The algorithmic language Triplex-ALGOL 60
• The Complementarity of Public and Private Capital and the Optimal Rate of Return to Government Investment
• The Probability of a Given Error Being Exceeded in Approximate Computation

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