On Matrix and Determinant Identities for Composite Functions

On Matrix and Determinant Identities for Composite Functions

Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 16–25

Abstract

We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faà di Bruno's formula. Some recent published identities can be regarded as special cases of our results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1007-m3067

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 16–25

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Bell polynomial Composite function Determinant identity Divided difference Matrix identity.