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On a differential-algebraic problem
Authors:Anita Dabrowicz-Tlałka  Tadeusz Jankowski
Affiliation:(1) Faculty of Applied Physics and Mathematics, Technical University of Gda"nacute"sk, G. Narutowicza 11/12, 80-952 Gda"nacute"sk, Poland;(2) Faculty of Applied Physics and Mathematics, Technical University of Gda"nacute"sk, G. Narutowicza 11/12, 80-952 Gda"nacute"sk, Poland
Abstract:The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
Keywords:differential-algebraic problem  monotone sequences  quadratic convergence
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