Abstract
Some real and interval algorithms for the numerical solution of a class of nonlinear algebraic equations are described. These algorithms are based upon the symmetric single-step [2] and Newton [10], [11], [8] methods. Convergence theorems and numerical results which illustrate the effectiveness of the algorithms are given.
Zusammenfassung
Es werden einige reelle und intervallmäßige Algorithmen zur numerischen Lösung einer Klasse von nichtlinearen algebraischen Gleichungen beschrieben. Diese Algorithmen basieren auf dem symmetrischen Einzelschrittverfahren [2] und auf Newton-Verfahren nach [10], [11], [8]. Konvergenzsätze und numerische Ergebnisse werden angegeben, die die Effektivität der Algorithmen illustrieren.
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Shearer, J.M., Wolfe, M.A. Some algorithms for the solution of a class of nonlinear algebraic equations. Computing 35, 63–72 (1985). https://doi.org/10.1007/BF02240147
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DOI: https://doi.org/10.1007/BF02240147