187 citations
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math.NA2020★ 13 cited
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method
R. Boiger, A. Leitao, B. F. Svaiter
In this article we propose a novel nonstationary iterated Tikhonov (NIT) type method for obtaining stable approximate solutions to ill-posed operator equations modeled by linear op…
math.NA2019
Simultaneous Approximation of Measurement Values and Derivative Data using Discrete Orthogonal Polynomials
Roland Ritt, Matthew Harker, Paul O'Leary
This paper presents a novel method for polynomial approximation (Hermite approximation) using the fusion of value and derivative information. Therefore, the least-squares error in…