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math.CA2011★ 36 cited
On the accuracy of solving confluent Prony systems
Dmitry Batenkov, Yosef Yomdin
In this paper we consider several nonlinear systems of algebraic equations which can be called "Prony-type". These systems arise in various reconstruction problems in several branc…
math.CA2011
Algebraic reconstruction of piecewise-smooth functions from integral measurements
Dmitry Batenkov, Niv Sarig, Yosef Yomdin
This paper presents some results on a well-known problem in Algebraic Signal Sampling and in other areas of applied mathematics: reconstruction of piecewise-smooth functions from t…