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Interval Newton/generalized bisection when there are singularities near roots

https://doi.org/10.1007/bf02283694
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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/bf01396702openalex-snapshot
Global optimization using interval analysis ? the multi-dimensional case
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/10.1016/0378-4754(85)90023-0openalex-snapshot
Computer methods for the range of functions
inferredcites →https://doi.org/10.1016/0378-4754(89)90184-5openalex-snapshot
New computer methods for global optimization
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/10.1057/jors.1990.45openalex-snapshot
New Computer Methods for Global Optimization
inferredcites →https://doi.org/10.1090/s0025-5718-1968-0229411-4openalex-snapshot
On Solving Systems of Equations Using Interval Arithmetic
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0890261-9openalex-snapshot
Abstract Generalized Bisection and a Cost Bound
inferredcites →https://doi.org/10.1137/0714072openalex-snapshot
Safe Starting Regions for Iterative Methods
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/10.1145/29380.29862openalex-snapshot
Some tests of generalized bisection
inferredcites →https://doi.org/10.2307/2008155openalex-snapshot
Computer Methods for the Range of Functions.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-1-4613-3437-8_12openalex-snapshot
Test Results for an Interval Branch and Bound Algorithm for Equality-Constrained Optimization
inferred← citeshttps://doi.org/10.1007/978-3-030-96935-6_8openalex-snapshot
Interval Tools in Branch-and-Bound Methods for Global Optimization
inferred← citeshttps://doi.org/10.1007/bf00171829openalex-snapshot
An interval branch and bound algorithm for bound constrained optimization problems
inferred← citeshttps://doi.org/10.1007/bf02253433openalex-snapshot
Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems
inferred← citeshttps://doi.org/10.1016/b978-044451104-1/50026-5openalex-snapshot
Intersection Problems
inferred← citeshttps://doi.org/10.1016/j.envsoft.2012.03.017openalex-snapshot
A problem in hydrological model calibration in the case of averaged flux input and flux output
inferred← citeshttps://doi.org/10.1109/medcomnet62012.2024.10578134openalex-snapshot
Distributed Learning with Memory: Optimizing Model Usage Across Training Tasks
inferred← citeshttps://doi.org/10.1137/s1064827594266131openalex-snapshot
Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Systems
inferred← citeshttps://doi.org/10.1145/200979.200991openalex-snapshot
A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization
inferred← citeshttps://doi.org/10.32657/10356/6217openalex-snapshot
New interval partitioning algorithms for global optimization problems
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