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Publication:3345690
zbMath0552.65041MaRDI QIDQ3345690
Jürgen Herzberger, G. E. Alefeld
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
fixed pointinterval analysisGaussian eliminationNewton methodcentered formsALGOL programsinclusion of solutions
Interval and finite arithmetic (65G30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to linear algebra (15-04) Nonlinear algebraic or transcendental equations (65Hxx)
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Payoffs, NUMERICAL AND GEOMETRIC PROPERTIES OF INTERVAL B-SPLINES, Existence verification for singular and nonsmooth zeros of real nonlinear systems, Interval methods for fixed-point problems, Arithmetic for closed balls, Idempotent and tropical mathematics; complexity of algorithms and interval analysis, RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT, INVESTIGATION OF DYNAMICAL SYSTEMS USING SYMBOLIC IMAGES: EFFICIENT IMPLEMENTATION AND APPLICATIONS, Real quantifier elimination for the synthesis of optimal numerical algorithms (case study: square root computation), Multiobjective programming in optimization of the interval objective function, AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION, Evaluation of Hausdorff distances in interval mathematics, Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations, The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds, FUZZY OPTIMIZATION OF REAL FUNCTIONS, Verified computation of real powers of matrices, Automatized Search for Complex Symbolic Dynamics with Applications in the Analysis of a Simple Memristor Circuit, On Newton-like methods to enclose solutions of nonlinear equations, Newton’s divided gH-difference interpolation formula with unequal spacing for interval-valued function using Hukuhara difference, Fast enclosing the solution set of the parametric Sylvester matrix equations, Automatic Test Case Generation Using Interval Arithmetic, On the Hull of the Solution Sets of Interval Linear Equations, On the Solution of Parametrised Linear Systems, Euler-Like Method for the Simultaneous Inclusion of Polynomial Zeros with Weierstrass’ Correction, Interval Methods for Global Optimization Using the Boxing Method, Simulation of a Controlled Aircraft Elevator under Sensor Uncertainties, Traditional Parameter Estimation Versus Estimation of Guaranteed Parameter Sets, Verified Determination of Singularities in Chemical Processes, The \(F\)-objective function method for differentiable interval-valued vector optimization problems, Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative, COUNTING LOW-PERIOD CYCLES FOR FLOWS, Unnamed Item, An updated two-step method for solving interval linear programming: A case study of the air quality management problem, Approximate solutions of interval-valued optimization problems, Extremal Results for Algebraic Linear Interval Systems, Interval Additive Generators of Interval T-Norms, On nondifferentiable semi-infinite multiobjective programming with interval-valued functions, SOME NEWTON-TYPE ITERATIVE METHODS WITH AND WITHOUT MEMORY FOR SOLVING NONLINEAR EQUATIONS, Univariate Real Root Isolation over a Single Logarithmic Extension of Real Algebraic Numbers, Fuzzy Matrix Contractor Based Approach for Localization of Robots, Modeling Radon Diffusion Equation by Using Fuzzy Polynomials in Galerkin’s Method, INTERVAL PIECEWISE REGRESSION MODEL WITH AUTOMATIC CHANGE-POINT DETECTION BY QUADRATIC PROGRAMMING, Interval arithmetic multistep methods for nonlinear systems of equations, The united stable solution set of interval continuous-time algebraic Riccati equation and veri ed numerical computation of its outer estimation, A truncated cyclic reduction algorithm for interval arithmetic tridiagonal systems of equations, Imprecise probability for non-commuting observables, Mathematically Rigorous Global Optimization and Fuzzy Optimization, ON ARITHMETIC OPERATIONS OF INTERVAL NUMBERS, Methods with corrections for the simultaneous inclusion of polynomial zeros, A new hybrid genetic algorithm for global optimization, Roles of automatic differentiation in nonlinear analysis and high-quality computation, Berechenbare Schranken von Taylorkoeffizienten analytischer Funktionen, A verified method for solving piecewise smooth initial value problems, Computation of Topological Degree Using Interval Arithmetic, and Applications, Unnamed Item, Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions, Enclosing the solution set of linear systems with inaccurate data by iterative methods based on incomplete LU-decompositions, Self-validating methods, Quasiconvex relaxations based on interval arithmetic, A COMPUTATIONAL SIMPLE MODEL TO REPRESENT AND MANIPULATE LINGUISTIC IMPRECISION, Identification of objects with unknown bounded disturbances, The dodecahedral conjecture, NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS, Unnamed Item, On sufficient conditions for the stability of interval matrices, OPTIMAL INVESTMENT STRATEGY VIA INTERVAL ARITHMETIC, AN ENCLOSURE METHOD FOR FREE BOUNDARY PROBLEMS BASED ON A LINEAR COMPLEMENTARITY PROBLEM WITH INTERVAL DATA*, Optimal ABC inventory classification using interval programming, Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations, Enclosing Chebyshev Expansions in Linear Time, Polynomial Factorization for Servers with Semi-Markovian Workload: Performance and Numerical Aspects of a Verified Solution Technique, Fuzzy Pareto Solutions in Fully Fuzzy Multiobjective Linear Programming, An enclosure method for the solution of linear odes with polynomial coefficients, Full-Scale Bounds Estimation for the Nonlinear Transient Heat Transfer Problems with Interval Uncertainties, Determinants of Interval Matrices, Rigorous solution of linear programming problems with uncertain data, Finding efficient solutions in the interval multi-objective linear programming models, The Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical Systems, Higher-order simultaneous methods for the determination of polynomial multiple zeros, An improved three-step method for solving the interval linear programming problems, INTERIOR POINT METHOD FOR SOLVING LINEAR PROGRAMMING WITH INTERVAL COEFFICIENTS USING AFFINE SCALING, Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two, Unnamed Item, A Theorem for Numerical Verification on Local Uniqueness of Solutions to Fixed-Point Equations, How do you compute the midpoint of an interval?, Solving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics, Unnamed Item, Improved Halley-like methods for the inclusion of polynomial zeros, Robust stability using interval analysis, Empirical investigation of the convergence speed of inclusion functions in a global otimization context, Motivations for an arbitrary precision interval arithmetic and the MPFI library, A new inclusion function for optimization: kite -- the one-dimensional case, EA solutions and EA solvability to general interval linear systems, Solving fully fuzzy polynomials using feed-back neural networks, Computer tools for the construction and analysis of some efficient root-finding simultaneous methods, A new idea on the interval-symbol method with correct zero rewriting for reducing exact computations, Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p), A family of Newton-type iterative methods using some special self-accelerating parameters
