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Interval solution of nonlinear equations using linear programming

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What this work says

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

inferredcites →https://doi.org/10.1002/ecjc.4430780711openalex-snapshot
Numerical validation method for nonlinear equations using interval analysis and rational arithmetic
inferredcites →https://doi.org/10.1007/978-1-4613-3440-8openalex-snapshot
Applications of Interval Computations
inferredcites →https://doi.org/10.1007/978-3-642-59709-1openalex-snapshot
Lectures on applied mathematics : proceedings of the symposium organized by the Sonderforschungsbereich 438 on the occasion of Karl-Heinz Hoffmann's 60th birthday, Munich, June 30-July 1, 1999
inferredcites →https://doi.org/10.1007/bf01932020openalex-snapshot
A globally convergent interval method for computing and bounding real roots
inferredcites →https://doi.org/10.1007/bf01933165openalex-snapshot
Bounding solutions of systems of equations using interval analysis
inferredcites →https://doi.org/10.1007/bf01935003openalex-snapshot
Interval iteration for zeros of systems of equations
inferredcites →https://doi.org/10.1007/bf02234767openalex-snapshot
Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
inferredcites →https://doi.org/10.1007/bf02240200openalex-snapshot
Accelerating Krawczyk-like interval algorithms for the solution of nonlinear systems of equations by using second derivatives
inferredcites →https://doi.org/10.1007/bf02243144openalex-snapshot
A new class of interval methods with higher order of convergence
inferredcites →https://doi.org/10.1007/bf02253433openalex-snapshot
Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems
inferredcites →https://doi.org/10.1016/0160-9327(93)90069-fopenalex-snapshot
Numerical recipes in C: The art of scientific computing, second edition
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/10.1109/43.55173openalex-snapshot
A globally and quadratically convergent algorithm for solving nonlinear resistive networks
inferredcites →https://doi.org/10.1109/81.128015openalex-snapshot
An efficient algorithm for finding all solutions of piecewise-linear resistive circuits
inferredcites →https://doi.org/10.1109/81.219826openalex-snapshot
Polyhedral elements: a new algorithm for capturing all the equilibrium points of piecewise-linear circuits
inferredcites →https://doi.org/10.1109/81.242328openalex-snapshot
Simple algorithms for tracing solution curves
inferredcites →https://doi.org/10.1109/81.242330openalex-snapshot
Finding all solutions of piecewise-linear resistive circuits using simple sign tests
inferredcites →https://doi.org/10.1109/81.488814openalex-snapshot
An algorithm for representing functions of many variables by superpositions of functions of one variable and addition
inferredcites →https://doi.org/10.1109/81.669067openalex-snapshot
Finding all solutions of piecewise-linear resistive circuits using linear programming
inferredcites →https://doi.org/10.1137/0714040openalex-snapshot
A Test for Existence of Solutions to Nonlinear Systems
inferredcites →https://doi.org/10.1137/0714072openalex-snapshot
Safe Starting Regions for Iterative Methods
inferredcites →https://doi.org/10.1137/0717015openalex-snapshot
A Comparison of the Existence Theorems of Kantorovich and Moore
inferredcites →https://doi.org/10.1137/0717032openalex-snapshot
A Modification of Krawczyk’s Algorithm
inferredcites →https://doi.org/10.1137/0719060openalex-snapshot
A Successive Interval Test for Nonlinear Systems
inferredcites →https://doi.org/10.1137/0719061openalex-snapshot
A Note on the Moore Test for Nonlinear Systems
inferredcites →https://doi.org/10.1137/0720014openalex-snapshot
A Quadratically Convergent Krawczyk-Like Algorithm
inferredcites →https://doi.org/10.1137/0722048openalex-snapshot
Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
inferredcites →https://doi.org/10.1137/0722073openalex-snapshot
Some Computable Existence, Uniqueness, and Convergence Tests for Nonlinear Systems
inferredcites →https://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.1137/1022003openalex-snapshot
Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
inferredcites →https://doi.org/10.1145/29380.29862openalex-snapshot
Some tests of generalized bisection
inferredcites →https://doi.org/10.5860/choice.30-5638openalex-snapshot
Numerical recipes in C: the art of scientific computing

What points at this work

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

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Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm
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Finding all solutions of piecewise‐linear circuits by using linear programming
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Finding all solutions of weakly nonlinear equations using the dual simplex method
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Efficient Pruning Technique Based on Linear Relaxations
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Predicate Abstraction of Programs with Non-linear Computation
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Solving Nonlinear Equations by Abstraction, Gaussian Elimination, and Interval Methods
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PSO Performance for Solving Nonlinear Systems of Equations: Comparing Segmentation of Search Space and Increase of Number of Particles
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An Improved Modified Jaya Optimization Algorithm: Application to the Solution of Nonlinear Equation Systems
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Certifying Simple Zeros of Over-Determined Polynomial Systems
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Overview and Computational Analysis of PSO Variants for Solving Systems of Nonlinear Equations
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Solving Systems of Nonlinear Equations Using Jaya and Jaya-Based Algorithms: A Computational Comparison
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Application of the Krawczyk-Moore-Jones algorithm to electric circuit analysis and its further development
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An efficient algorithm for finding all solutions of separable systems of nonlinear equations
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Interval Branch-and-Bound algorithms for optimization and constraint satisfaction: a survey and prospects
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Solving kinematics problems by efficient interval partitioning
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Nonlinear optimization exclusion tests for finding all solutions of nonlinear equations
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LP narrowing: A new strategy for finding all solutions of nonlinear equations
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Existence test for solution of nonlinear systems applying affine arithmetic
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Finding all solutions of separable systems of piecewise-linear equations using integer programming
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Finding all solution sets of piecewise-linear interval equations using an integer programming solver
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An efficient algorithm for finding all solutions of nonlinear equations using parallelogram LP test
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A SPICE-Oriented Nonexistence Test for DC Solutions of Nonlinear Circuits
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A modified predictor-corrector method for tracing solution curves
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Finding All Solutions of Piecewise-Linear Resistive Circuits Using Triangular LP Test
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