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Fundamentals of SIGLA, an interval computing system over the completed set of intervals
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-07170-9_5openalex-snapshot
Nichtnumerische Aspekte der Intervallmathematik
inferredcites →https://doi.org/10.1007/978-3-7091-8471-4_8openalex-snapshot
Über Eigenschaften und Anwendungsmöglichkeiten der erweiterten Intervallrechnung und des hyperbolischen Fastkörpers über ℝ
inferredcites →https://doi.org/10.1007/bf02165313openalex-snapshot
The algorithmic language triplex-Algol 60
inferredcites →https://doi.org/10.1007/bf02248774openalex-snapshot
Die Überschätzung des Wertebereichs einer Funktion in der Intervallrechnung mit Anwendungen auf lineare Gleichungssysteme
inferredcites →https://doi.org/10.2307/3608665openalex-snapshot
The Probability of a Given Error Being Exceeded in Approximate Computation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/3-540-16437-5_4openalex-snapshot
Modal intervals : Reason and ground semantics
inferred← citeshttps://doi.org/10.1007/978-1-4757-6484-0openalex-snapshot
Scientific Computing, Validated Numerics, Interval Methods
inferred← citeshttps://doi.org/10.1007/978-1-4757-6484-0_11openalex-snapshot
On the Solution of Parametrised Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-540-70942-8_41openalex-snapshot
Solving Linear Systems Whose Input Data Are Rational Functions of Interval Parameters
inferred← citeshttps://doi.org/10.1007/978-3-642-80350-5_43openalex-snapshot
On directed interval arithmetic and its applications
inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_25openalex-snapshot
Outer Estimation of Generalized Solution Sets to Interval Linear Systems
inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_31openalex-snapshot
SCAN-98 Collected Bibliography
inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_5openalex-snapshot
On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher’s Interval Arithmetic
inferred← citeshttps://doi.org/10.1007/bf02388185openalex-snapshot
Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of kaucher arithmetic
inferred← citeshttps://doi.org/10.1007/bf02390519openalex-snapshot
Inner estimation of the united solution set of interval linear algebraic system
inferred← citeshttps://doi.org/10.1007/bf02425913openalex-snapshot
Interval methods that are guaranteed to underestimate (and the resulting new justification of Kaucher arithmetic)
inferred← citeshttps://doi.org/10.1007/s00607-011-0145-0openalex-snapshot
Extended interval Newton method based on the precise quotient set
inferred← citeshttps://doi.org/10.1007/s11075-015-0094-3openalex-snapshot
Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation A(p)X = B(p)
inferred← citeshttps://doi.org/10.1007/s41066-019-00208-zopenalex-snapshot
Gradual interval arithmetic and fuzzy interval arithmetic
inferred← citeshttps://doi.org/10.1016/j.cam.2005.08.048openalex-snapshot
Inner and outer bounds for the solution set of parametric linear systems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2007.04.003openalex-snapshot
Continuous minimax optimization using modal intervals
inferred← citeshttps://doi.org/10.1016/j.ymssp.2012.02.013openalex-snapshot
Generalized Fokker–Planck equation with generalized interval probability
inferred← citeshttps://doi.org/10.1016/s0168-9274(98)00112-3openalex-snapshot
An iterative method for algebraic solution to interval equations
inferred← citeshttps://doi.org/10.1023/a:1009945403631openalex-snapshot
Interval and Twin Arithmetics
inferred← citeshttps://doi.org/10.1023/a:1009967232643openalex-snapshot
Isomorphic Embeddings of Abstract Interval Systems
inferred← citeshttps://doi.org/10.1023/a:1009972404551openalex-snapshot
Outer Estimation of Generalized Solution Sets to Interval Linear Systems
inferred← citeshttps://doi.org/10.1023/a:1009975421252openalex-snapshot
Algebraic Approach in the "Outer Problem" for Interval Linear Equations
inferred← citeshttps://doi.org/10.1023/a:1011418014248openalex-snapshot
On the Algebraic Properties of Intervals and Some Applications
inferred← citeshttps://doi.org/10.1023/a:1011422215157openalex-snapshot
Interval Gauss-Seidel Method for Generalized Solution Sets to Interval Linear Systems
inferred← citeshttps://doi.org/10.1023/a:1011428127620openalex-snapshot
On Maximal Inner Estimation of the Solution Sets of Linear Systems with Interval Parameters
inferred← citeshttps://doi.org/10.1023/a:1011470131086openalex-snapshot
Multiplication Distributivity of Proper and Improper Intervals
inferred← citeshttps://doi.org/10.1023/a:1011474231995openalex-snapshot
A Limitation for Underestimation Via Twin Arithmetic
inferred← citeshttps://doi.org/10.1023/a:1011487302840openalex-snapshot
On ∧-Subdistributivity and ∨-Superdistributivity with Respect to Interval Map in Kaucher Arithmetic
inferred← citeshttps://doi.org/10.1023/a:1020505620702openalex-snapshot
A New Technique in Systems Analysis Under Interval Uncertainty and Ambiguity
inferred← citeshttps://doi.org/10.1023/a:1024471800777openalex-snapshot
Intersection Subdistributivity and Interval Hull Superdistributivity with Respect to the Interval Maps
inferred← citeshttps://doi.org/10.1061/9780784413609.089openalex-snapshot
Training Generalized Hidden Markov Model with Interval Probability Parameters
inferred← citeshttps://doi.org/10.1080/00207160.2014.905681openalex-snapshot
Stochastic dynamics simulation with generalized interval probability
inferred← citeshttps://doi.org/10.1080/15502287.2013.807092openalex-snapshot
Whys and Hows of the Parameterized Interval Analyses: A Guide for the Perplexed
inferred← citeshttps://doi.org/10.1115/detc2013-12740openalex-snapshot
Solving Interval Master Equation in Simulation of Jump Processes Under Uncertainties
inferred← citeshttps://doi.org/10.1142/s2811007222500043openalex-snapshot
Analytical descriptions of quantifier solutions to interval linear systems of relations
inferred← citeshttps://doi.org/10.1145/1024922.1024927openalex-snapshot
Interval constraint solving for camera control and motion planning
inferred← citeshttps://doi.org/10.1145/281508.281614openalex-snapshot
Simplication of symbolic-numerical interval expressions
inferred← citeshttps://doi.org/10.47839/ijc.6.1.428openalex-snapshot
INTERVAL STRUCTURES AND THEIR USING
inferred← citeshttps://doi.org/10.48550/arxiv.1903.10272openalex-snapshot
Numerical computation of formal solutions to interval linear systems of equations
inferred← citeshttps://doi.org/10.5540/tema.2014.015.01.0097openalex-snapshot
Probabilist Set Inversion using Pseudo-Intervals Arithmetic
inferred← citeshttps://doi.org/10.5540/tema.2016.017.03.0283openalex-snapshot
Linear Algebra and Differential Calculus in Pseudo-Intervals Vector Space
inferred← citeshttps://doi.org/10.5772/25882openalex-snapshot
Applications of Interval-Based Simulations to the Analysis and Design of Digital LTI Systems
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