Convergence Criteria for Attracting Cycles of Newton's Method

DOI10.1137/S0036139996288466zbMath0915.65039OpenAlexW2089278148MaRDI QIDQ4388824

Stanley Ocken

Publication date: 10 May 1998

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139996288466

zbMATH Keywords

Newton's methoddynamical systemcomplex analytic mapsattracting periodic orbitsconvergence of orbits

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Entire functions of one complex variable (general theory) (30D20)

Related Items (2)

Geometry of polynomials and root-finding via path-lifting ⋮ Conjugacies of the Newton maps of rational functions

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