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Optimality in a Class of Rootfinding Algorithms

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What this work says

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

inferredcites →https://doi.org/10.1016/0041-5553(65)90059-5openalex-snapshot
Matrix iterative analysis
inferredcites →https://doi.org/10.1145/800195.805927openalex-snapshot
A study of Ostrowski efficiency for composite iteration algorithms
inferredcites →https://doi.org/10.2172/6226683openalex-snapshot
Bounds on order and Ostrowski efficiency for interpolatory iteration algorithms
inferredcites →https://doi.org/10.2307/2005025openalex-snapshot
Solution of Equations and Systems of Equations
inferredcites →https://doi.org/10.2307/2316079openalex-snapshot
Iterative Methods for the Solution of Equations.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf02293107openalex-snapshot
Über Matrixdarstellungen für Iterationsverfahren bei nichtlinearen Gleichungen
inferred← citeshttps://doi.org/10.1016/b978-0-444-52730-1.00001-1openalex-snapshot
Bisection and Interpolation Methods
inferred← citeshttps://doi.org/10.1016/j.camwa.2011.11.015openalex-snapshot
Efficient polynomial root-refiners: A survey and new record efficiency estimates
inferred← citeshttps://doi.org/10.1080/00207168108803269openalex-snapshot
A note on neta's family of sixth-order methods for solving equations
inferred← citeshttps://doi.org/10.1090/s0025-5718-1977-0426464-0openalex-snapshot
Asymptotic behavior of vector recurrences with applications
inferred← citeshttps://doi.org/10.1137/0201012openalex-snapshot
Computational Complexity of Iterative Processes
inferred← citeshttps://doi.org/10.1137/0713010openalex-snapshot
Optimal Order and Efficiency for Iterations with Two Evaluations
inferred← citeshttps://doi.org/10.1184/r1/6608219openalex-snapshot
Order of vector recurrences with applications to nonlinear iteration, parallel algorithms, and the power method
inferred← citeshttps://doi.org/10.2307/2005788openalex-snapshot
Asymptotic Behavior of Vector Recurrences with Applications
inferred← citeshttps://doi.org/10.48550/arxiv.1004.3608openalex-snapshot
The complexity of multiple-precision arithmetic
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