Numerical Differentiation and Regularization

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1971 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 8, pages 254-265 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Cullum, Jane;

doi: 10.1137/0708026

Numerical Differentiation and Regularization

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Abstract

Tikhonov’s regularization procedure is applied to the operation of differentiation, resulting in a procedure for numerical differentiation for which the effects of errors in the values of the function being differentiated on the values for the derivative obtained in the procedure can be studied. The theoretical discussion is complemented by the results of numerical experiments.

Keywords

Numerical differentiation, Numerical optimization and variational techniques, Numerical linear algebra, Numerical computation using splines

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