On the public citation graph
Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of kaucher arithmetic
0 signed · 118 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/zamm.19650450232openalex-snapshot
L. Collatz, Funktionalanalysis und numerische Mathematik. (Die Grundlehren der mathematischen Wissenschaften, Band 120) VI + 371 S. m. 96 Abb. u. 2 Porträts. Berlin/Göttingen/Heidelberg 1964. Springer‐Verlag. Preis geb. DM 58,—
inferredcites →https://doi.org/10.1007/978-3-642-53372-3openalex-snapshot
Funktionalanalysis und numerische Mathematik
inferredcites →https://doi.org/10.1007/978-3-642-95028-5openalex-snapshot
Funktionalanalysis und Numerische Mathematik
inferredcites →https://doi.org/10.1007/978-3-7091-8471-4_7openalex-snapshot
Algebraische Erweiterungen der Intervallrechnung unter Erhaltung der Ordnungs- und Verbandsstrukturen
inferredcites →https://doi.org/10.1007/978-3-7091-8577-3_3openalex-snapshot
Interval Analysis in the Extended Interval Space IR
inferredcites →https://doi.org/10.1007/978-94-010-2715-1openalex-snapshot
Approximate Solution of Operator Equations
inferredcites →https://doi.org/10.1007/978-94-010-2715-1_5openalex-snapshot
Small solutions of operator equations
inferredcites →https://doi.org/10.1007/bf02260368openalex-snapshot
Optimale Lösung von Intervallgleichungssystemen
inferredcites →https://doi.org/10.1007/bf02281722openalex-snapshot
Fundamentals of SIGLA, an interval computing system over the completed set of intervals
inferredcites →https://doi.org/10.1007/bf02316910openalex-snapshot
Über Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten
inferredcites →https://doi.org/10.1007/bf02390519openalex-snapshot
Inner estimation of the united solution set of interval linear algebraic system
inferredcites →https://doi.org/10.1016/b978-0-12-518850-0.50023-8openalex-snapshot
SIGLA-PL/1 DEVELOPMENT AND APPLICATIONS
inferredcites →https://doi.org/10.1016/c2009-0-21898-8openalex-snapshot
Introduction to Interval Computation
inferredcites →https://doi.org/10.1017/cbo9780511526473openalex-snapshot
Interval Methods for Systems of Equations
inferredcites →https://doi.org/10.1090/s0002-9939-1952-0045938-2openalex-snapshot
An Embedding Theorem for Spaces of Convex Sets
inferredcites →https://doi.org/10.1137/0732027openalex-snapshot
On Optimal Solution of Interval Linear Equations
inferredcites →https://doi.org/10.1137/1.9780898719468openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/jsco.2001.0519openalex-snapshot
Quantified Constraints Under Perturbation
inferred← citeshttps://doi.org/10.1007/0-387-26325-x_30openalex-snapshot
Fuzzy Parametric Integral Equations System in modelling of polygonal potential boundary problems described by the Laplace equation
inferred← citeshttps://doi.org/10.1007/0-387-32698-7_2openalex-snapshot
Solvability of systems of interval linear equations and inequalities
inferred← citeshttps://doi.org/10.1007/3-540-44654-0_1openalex-snapshot
Interval Constraints: Results and Perspectives
inferred← citeshttps://doi.org/10.1007/978-1-4757-3145-3_22openalex-snapshot
Beyond Interval Systems: What Is Feasible and What Is Algorithmically Solvable?
inferred← citeshttps://doi.org/10.1007/978-1-4757-6484-0_10openalex-snapshot
Towards Diagrammatic Analysis of Systems of Interval “Linear Equations”
inferred← citeshttps://doi.org/10.1007/978-3-030-13795-3_4openalex-snapshot
Branch-and-Bound-Type Methods
inferred← citeshttps://doi.org/10.1007/978-3-030-13795-3_9openalex-snapshot
Applications of Interval B&BT Methods
inferred← citeshttps://doi.org/10.1007/978-3-030-31041-7_21openalex-snapshot
Interval Regularization for Inaccurate Linear Algebraic Equations
inferred← citeshttps://doi.org/10.1007/978-3-031-22543-7_17openalex-snapshot
Robot Workspace Approximation with Modified Bicenetred Krawczyk Method
inferred← citeshttps://doi.org/10.1007/978-3-031-56936-4_4openalex-snapshot
Matrices of Interval Numbers
inferred← citeshttps://doi.org/10.1007/978-3-319-70581-1_8openalex-snapshot
Method of Parametric Identification for Interval Discrete Dynamic Models and the Computational Scheme of Its Implementation
inferred← citeshttps://doi.org/10.1007/978-3-319-78054-2_39openalex-snapshot
Practical Need for Algebraic (Equality-Type) Solutions of Interval Equations and for Extended-Zero Solutions
inferred← citeshttps://doi.org/10.1007/978-3-319-91026-0openalex-snapshot
Combining Interval, Probabilistic, and Other Types of Uncertainty in Engineering Applications
inferred← citeshttps://doi.org/10.1007/978-3-642-15956-5_2openalex-snapshot
A New Method for Inner Estimation of Solution Sets to Interval Linear Systems
inferred← citeshttps://doi.org/10.1007/978-94-015-9793-7_30openalex-snapshot
Theoretical and Computational Aspects of the Fuzzy Boundary Element Methods
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_5openalex-snapshot
On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher’s Interval 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/bf02425914openalex-snapshot
On the computational complexity of the solution of linear systems with moduli
inferred← citeshttps://doi.org/10.1007/s00419-015-1086-4openalex-snapshot
Generalized Galileo Galilei problem in interval setting for functionally related loads
inferred← citeshttps://doi.org/10.1007/s00607-011-0173-9openalex-snapshot
A class of problems that can be solved using interval algorithms
inferred← citeshttps://doi.org/10.1007/s11155-005-0404-xopenalex-snapshot
A Right-Preconditioning Process for the Formal–Algebraic Approach to Inner and Outer Estimation of AE-Solution Sets
inferred← citeshttps://doi.org/10.1007/s11155-005-3032-6openalex-snapshot
The Optimal Solution of an Interval System of Linear Algebraic Equations
inferred← citeshttps://doi.org/10.1007/s11155-006-9008-3openalex-snapshot
Analysis and Design of Robust Controllers Using the Interval Diophantine Equation
inferred← citeshttps://doi.org/10.1007/s41066-015-0014-xopenalex-snapshot
Solving equations (and systems of equations) under uncertainty: how different practical problems lead to different mathematical and computational formulations
inferred← citeshttps://doi.org/10.1007/s41066-016-0031-4openalex-snapshot
Concepts of solutions of uncertain equations with intervals, probabilities and fuzzy sets for applied tasks
inferred← citeshttps://doi.org/10.1007/s41066-017-0054-5openalex-snapshot
Solving different practical granular problems under the same system of equations
inferred← citeshttps://doi.org/10.1007/s43994-025-00242-5openalex-snapshot
Boundary element modeling for non-Fourier thermal stress sensitivities of functionally graded materials
inferred← citeshttps://doi.org/10.1016/j.amc.2023.127875openalex-snapshot
Moran process in evolutionary game dynamics with interval payoffs and its application
inferred← citeshttps://doi.org/10.1016/j.apm.2017.05.010openalex-snapshot
Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces
inferred← citeshttps://doi.org/10.1016/j.camwa.2014.10.014openalex-snapshot
Generalized solution sets of the interval generalized Sylvester matrix equation ∑i=1pAiXi+∑j=1qYjBj=C and some approaches for inner and outer estimations
inferred← citeshttps://doi.org/10.1016/j.eswa.2012.07.019openalex-snapshot
A method for solving systems of linear interval equations applied to the Leontief input–output model of economics
inferred← citeshttps://doi.org/10.1016/j.fss.2008.01.033openalex-snapshot
Solutions of fuzzy equations based on Kaucher arithmetic and AE-solution sets
inferred← citeshttps://doi.org/10.1016/j.fss.2021.06.003openalex-snapshot
A new methodology for solving fuzzy systems of equations: Thick fuzzy sets based approach
inferred← citeshttps://doi.org/10.1016/j.ifacol.2017.08.1939openalex-snapshot
Verified Diagnosis of Safety Critical Dynamic Systems Based on Kaucher Interval Arithmetic
inferred← citeshttps://doi.org/10.1016/j.jsc.2008.04.014openalex-snapshot
On real factors of real interval polynomials
inferred← citeshttps://doi.org/10.1016/j.laa.2016.11.006openalex-snapshot
Farkas-type conditions of general interval linear systems for AE solvability
inferred← citeshttps://doi.org/10.1016/j.mcm.2011.08.036openalex-snapshot
The interval Lyapunov matrix equation: Analytical results and an efficient numerical technique for outer estimation of the united solution set
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00139-7openalex-snapshot
Diagrammatic representation for interval arithmetic
inferred← citeshttps://doi.org/10.1016/s0096-3003(96)00181-6openalex-snapshot
Controllable solution set to interval static systems
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/10.1016/s0951-8320(02)00226-0openalex-snapshot
Robust design using a hybrid-cellular-evolutionary and interval-arithmetic approach: a reliability application
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)36024-xopenalex-snapshot
The Synthesis of Minimax Control of Linear Dynamical Systems with Incomplete Information about Parameters, Disturbances and Inexact Measurements
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: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:1011487725803openalex-snapshot
Idempotent Interval Analysis and Optimization Problems
inferred← citeshttps://doi.org/10.1023/a:1014758201565openalex-snapshot
Linear Interval Tolerance Problem and Linear Programming Techniques
inferred← citeshttps://doi.org/10.1023/a:1014785518570openalex-snapshot
Approximate Quantified Constraint Solving by Cylindrical Box Decomposition
inferred← citeshttps://doi.org/10.1023/a:1015561212728openalex-snapshot
Formal Solution to Systems of Interval Linear or Non-Linear Equations
inferred← citeshttps://doi.org/10.1023/a:1016246616462openalex-snapshot
Search Heuristics for Box Decomposition Methods
inferred← citeshttps://doi.org/10.1023/a:1016385132064openalex-snapshot
Interval Estimations of Solution Sets to Real-Valued Systems of Linear or Non-Linear Equations
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:1023022826879openalex-snapshot
Diagrammatic Analysis of Interval Linear Equations - Part I: Basic Notions and the One-Dimensional Case
inferred← citeshttps://doi.org/10.1023/a:1024603432484openalex-snapshot
Diagrammatic Analysis of Interval Linear Equations - Part II: The Two-Dimensional Case and Generalization to n Dimensions
inferred← citeshttps://doi.org/10.1023/a:1024616413366openalex-snapshot
Asymptotic Stability of Interval Time-Delay Systems
inferred← citeshttps://doi.org/10.1023/b:numa.0000049485.61942.5fopenalex-snapshot
A Full Function-Based Calculus of Directed and Undirected Intervals: Markov'S Interval Arithmetic Revisited
inferred← citeshttps://doi.org/10.1080/03081087.2019.1696739openalex-snapshot
EA solutions and EA solvability to general interval linear systems
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/10.1109/acit49673.2020.9208916openalex-snapshot
Features of Artificial Bee Colony Based Algorithm Realization for Parametric Identification Method of the Interval Discrete Dynamic Models
inferred← citeshttps://doi.org/10.1109/acit49673.2020.9208972openalex-snapshot
Parameters Identification Method of Interval Discrete Dynamic Models of Air Pollution Based on Artificial Bee Colony Algorithm
inferred← citeshttps://doi.org/10.1109/acitt.2019.8779885openalex-snapshot
Modelling of the Processes of the Small Hydroelectric Power Station on the Basis of Interval Input and Output Data Analysis
inferred← citeshttps://doi.org/10.1109/cadsm.2001.975809openalex-snapshot
Interval system for calculating tolerances in CAD systems
inferred← citeshttps://doi.org/10.1109/cadsm.2017.7916152openalex-snapshot
Stochastic method forming the optimal “saturated block” in the localization task of solutions the interval system of linear algebraic equations
inferred← citeshttps://doi.org/10.1109/cpee.2016.7738737openalex-snapshot
Method of reduction for interval system of linear algebraic equations and its application to modeling a small hydroelectric power station
inferred← citeshttps://doi.org/10.1109/csit49958.2020.9321916openalex-snapshot
Method of Estimation the Level of Influence of Motivational Factors on Labor Efficiency
inferred← citeshttps://doi.org/10.1109/csit52700.2021.9648645openalex-snapshot
Parametric identification of static systems by methods of interval data analysis using parallel calculations
inferred← citeshttps://doi.org/10.1109/dsmp.2018.8478528openalex-snapshot
Selection the “Saturated” Block from Interval System of Linear Algebraic Equations for Recurrent Laryngeal Nerve Identification
inferred← citeshttps://doi.org/10.1109/fuzz-ieee.2016.7737864openalex-snapshot
Comparison of formulations of applied tasks with intervals, fuzzy sets and probability approaches
inferred← citeshttps://doi.org/10.1109/idaacs.2001.942020openalex-snapshot
Software for interval analysis and synthesis of tolerances in CAD systems
inferred← citeshttps://doi.org/10.1109/idaacs.2003.1249581openalex-snapshot
Interval methods of assigning the nominal tolerances and choosing elements
inferred← citeshttps://doi.org/10.1109/memstech.2017.7937562openalex-snapshot
The method of providing of functional suitability of elements of the device of formation of signal in electrophysiological way of classification tissues surgical wound
inferred← citeshttps://doi.org/10.1109/scan.2006.33openalex-snapshot
On the Approximation of Linear AE-Solution Sets
inferred← citeshttps://doi.org/10.1109/stc-csit.2017.8098844openalex-snapshot
Improving the computational implementation of the parametric identification method for interval discrete dynamic models
inferred← citeshttps://doi.org/10.1109/tcset.2002.1015881openalex-snapshot
Optimization of ISLAE solutions in the problems of assigning tolerances for parameters of electronic devices
inferred← citeshttps://doi.org/10.1109/tcset.2018.8336332openalex-snapshot
Static interval model of air pollution by motor vehicles and its identification method
inferred← citeshttps://doi.org/10.1115/1.4026027openalex-snapshot
Searching Feasible Design Space by Solving Quantified Constraint Satisfaction Problems
inferred← citeshttps://doi.org/10.1115/1.4030465openalex-snapshot
An Extended Kalman Filtering Mechanism Based on Generalized Interval Probability
inferred← citeshttps://doi.org/10.1134/s1995423923020088openalex-snapshot
Non-Traditional Intervals and Their Use. Which Ones Really Make Sense?
inferred← citeshttps://doi.org/10.1137/s0895479898347472openalex-snapshot
On Shary's Algebraic Approach for Linear Interval Equations
inferred← citeshttps://doi.org/10.1145/1277548.1277593openalex-snapshot
On real factors of real interval polynomials
inferred← citeshttps://doi.org/10.1145/297049.297053openalex-snapshot
From interval computations to modal mathematics
inferred← citeshttps://doi.org/10.1145/976706.976709openalex-snapshot
Convergent approximate solving of first-order constraints by approximate quantifiers
inferred← citeshttps://doi.org/10.1155/2018/2797038openalex-snapshot
Two Iterative Methods for Solving Linear Interval Systems
inferred← citeshttps://doi.org/10.1515/amcs-2017-0041openalex-snapshot
Is an interval the right result of arithmetic operations on intervals?
inferred← citeshttps://doi.org/10.1515/auto-2018-0095openalex-snapshot
Verification of hybrid systems using Kaucher arithmetic
inferred← citeshttps://doi.org/10.15439/2023f865openalex-snapshot
Developing an interval method for training denoising autoencoders by bounding the noise
inferred← citeshttps://doi.org/10.22124/jmm.2020.16119.1409openalex-snapshot
Inner and outer estimations of the generalized solution sets and an application in economic
inferred← citeshttps://doi.org/10.23939/jcpee2017.01.017openalex-snapshot
Estimation Method for a Set of Solutions to Interval System of Linear Algebraic Equations with Optimized “Saturated Block” Selection Procedure
inferred← citeshttps://doi.org/10.47839/ijc.2.2.215openalex-snapshot
INTERVAL METHODS OF ASSIGNING THE NOMINAL TOLERANCES AND CHOOSING ELEMENTS
inferred← citeshttps://doi.org/10.48550/arxiv.1810.01481openalex-snapshot
Interval regularization for imprecise linear algebraic equations
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/10.48550/arxiv.cs/0105021openalex-snapshot
Solving Composed First-Order Constraints from Discrete-Time Robust Control
inferred← citeshttps://doi.org/10.48550/arxiv.math/0101041openalex-snapshot
Exact interval solutions to the discrete Bellman equation and polynomial complexity of problems in interval idempotent linear algebra
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.