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On Matrix and Determinant Identities for Composite Functions
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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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