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Volume 29, Issue 1
On Matrix and Determinant Identities for Composite Functions

Xinghua Wang & Aimin Xu

DOI: 10.4208/jcm.1007-m3067

J. Comp. Math., 29 (2011), pp. 16-25.

Published online: 2011-02

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  • 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.

  • Keywords

Bell polynomial, Composite function, Determinant identity, Divided difference, Matrix identity.

  • AMS Subject Headings

65D05, 05A10, 15A23, 15A15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-16, author = {Xinghua Wang and Aimin Xu}, title = {On Matrix and Determinant Identities for Composite Functions}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1007-m3067}, url = {http://global-sci.org/intro/article_detail/jcm/8461.html} }
TY - JOUR T1 - On Matrix and Determinant Identities for Composite Functions AU - Xinghua Wang & Aimin Xu JO - Journal of Computational Mathematics VL - 1 SP - 16 EP - 25 PY - 2011 DA - 2011/02 SN - 29 DO - http://doi.org/10.4208/jcm.1007-m3067 UR - https://global-sci.org/intro/article_detail/jcm/8461.html KW - Bell polynomial, Composite function, Determinant identity, Divided difference, Matrix identity. AB -

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.

Xinghua Wang and Aimin Xu. (2011). On Matrix and Determinant Identities for Composite Functions. Journal of Computational Mathematics. 29 (1). 16-25. doi:10.4208/jcm.1007-m3067
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