On the convergence of Newton's method for polynomial equations and applications in radiative transfer

DOI10.1007/s006050050039zbMath0932.65061OpenAlexW1988736731MaRDI QIDQ1295734

Ioannis K. Argyros

Publication date: 28 June 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050050039

zbMATH Keywords

Newton's methodsemilocal convergenceBanach spacepolynomial systemsradiative transfernonlinear integral equationKantorovich hypothesisLipschitz conditionHölder conditionHorner's algorithmTaylor's polynomial

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15) Radiative transfer in astronomy and astrophysics (85A25)

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