Solving the quintic by iteration

DOI10.1007/BF02392735zbMath0705.65036OpenAlexW2102665077WikidataQ56864859 ScholiaQ56864859MaRDI QIDQ918135

Curtis T. McMullen, Peter G. Doyle

Publication date: 1989

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392735

zbMATH Keywords

attractorsNewton's methodGalois groupiterative algorithmsalgebraic equationsquintic equationgenerally convergent algorithmsicosahedral equationtower of algorithms

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Equations in general fields (12E12) Numerical computation of solutions to single equations (65H05) Simple groups: alternating groups and groups of Lie type (20D06)

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Cites Work

• On the existence of generally convergent algorithms
• Families of rational maps and iterative root-finding algorithms
• Braiding of the attractor and the failure of iterative algorithms
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• On the efficiency of algorithms of analysis
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