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A combined method for enclosing all solutions of nonlinear systems of polynomial equations

https://doi.org/10.1007/bf02390521
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-09519-5_52openalex-snapshot
A criterion for detecting unnecessary reductions in the construction of Gröbner-bases
inferredcites →https://doi.org/10.1007/978-1-4757-5592-3openalex-snapshot
Introduction to Numerical Analysis
inferredcites →https://doi.org/10.1007/bf01070595openalex-snapshot
Computation complexity of the range of a polynomial in several variables
inferredcites →https://doi.org/10.1007/bf01817776openalex-snapshot
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
inferredcites →https://doi.org/10.1007/bf01844169openalex-snapshot
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
inferredcites →https://doi.org/10.1007/bf01932020openalex-snapshot
A globally convergent interval method for computing and bounding real roots
inferredcites →https://doi.org/10.1016/0378-4754(92)90111-sopenalex-snapshot
Interval computations
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/10.1145/1088216.1088219openalex-snapshot
A theoretical basis for the reduction of polynomials to canonical forms
inferredcites →https://doi.org/10.1145/1088222.1088224openalex-snapshot
Some properties of Gröbner-bases for polynomial ideals
inferredcites →https://doi.org/10.1201/9780203026922openalex-snapshot
Global Optimization Using Interval Analysis
inferredcites →https://doi.org/10.2307/2007454openalex-snapshot
Introduction to Numerical Analysis.
inferredcites →https://doi.org/10.2307/2153591openalex-snapshot
Global Optimization Using Interval Analysis.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Symbolic–Numeric Techniques for Solving Nonlinear Systems
inferred← citeshttps://doi.org/10.1007/978-3-7091-6280-4_4openalex-snapshot
Symbolic-Numeric Algorithms for Polynomials: some recent results
inferred← citeshttps://doi.org/10.1007/978-3-7091-6280-4_9openalex-snapshot
Solution of Systems of Polynomial Equations by Using Bernstein Expansion
inferred← citeshttps://doi.org/10.1007/bf02385252openalex-snapshot
Towards the future of interval computations
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An efficient hybrid swarm intelligence optimization algorithm for solving nonlinear systems and clustering problems
inferred← citeshttps://doi.org/10.1007/s00521-010-0488-zopenalex-snapshot
Finding all roots of 2 × 2 nonlinear algebraic systems using back-propagation neural networks
inferred← citeshttps://doi.org/10.1007/s10462-020-09944-0openalex-snapshot
A quantum-based sine cosine algorithm for solving general systems of nonlinear equations
inferred← citeshttps://doi.org/10.1007/s11155-006-4875-1openalex-snapshot
Outer Interval Solution of the Eigenvalue Problem under General Form Parametric Dependencies
inferred← citeshttps://doi.org/10.1007/s11633-012-0619-3openalex-snapshot
Analysis of nonlinear electrical circuits using bernstein polynomials
inferred← citeshttps://doi.org/10.1007/s40819-021-01198-wopenalex-snapshot
An Integrative Approach for Analysis of Nonlinear Electrical Circuits Using-Polynomial B-Spline Expansion and B-Spline Krawczyk Operator
inferred← citeshttps://doi.org/10.1016/j.amc.2009.10.012openalex-snapshot
Blending implicit interval curves and surfaces
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Finding all real roots of 3×3 nonlinear algebraic systems using neural networks
inferred← citeshttps://doi.org/10.1016/j.asoc.2011.05.016openalex-snapshot
Finding all solutions of nonlinear systems using a hybrid metaheuristic with Fuzzy Clustering Means
inferred← citeshttps://doi.org/10.1016/j.asoc.2018.09.003openalex-snapshot
Solving transcendental equation using artificial neural network
inferred← citeshttps://doi.org/10.1016/j.camwa.2014.06.013openalex-snapshot
Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations
inferred← citeshttps://doi.org/10.1016/s0377-0427(03)00422-9openalex-snapshot
Lower bound functions for polynomials
inferred← citeshttps://doi.org/10.1145/1774088.1774519openalex-snapshot
Box consistency through adaptive shaving
inferred← citeshttps://doi.org/10.18576/amis/110201openalex-snapshot
Conjugate Direction DE Algorithm for Solving Systems of Nonlinear Equations
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The Concept of Synthesis Hinged Mechanisms as a Part of Mechatronic Systems
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