Geodesic
Algorithms for projecting a point onto a level surface of a continuous function on a compact set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1448-1454
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Given an equation $f(x)=0$, the problem of finding its solution nearest to a given point is considered. In contrast to the authors’ previous works dealing with this problem, exact algorithms are proposed assuming that the function $f$ is continuous on a compact set. The convergence of the algorithms is proved, and their performance is illustrated with test examples. 
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N. K. Arutyunova; A. M. Dulliev; V. I. Zabotin. Algorithms for projecting a point onto a level surface of a continuous function on a compact set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 9, pp. 1448-1454. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_9_a2/

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