Sign in
Back
Do the chain rules for matrix functions hold without commutativity?
Journal article   Peer reviewed

Do the chain rules for matrix functions hold without commutativity?

Wen-Xiu Ma and Boris Shekhtman
Linear & multilinear algebra, Vol.58(1), pp.79-87
01/01/2010
DOI: https://doi.org/10.1080/03081080802379733

Abstract

chain rule commutativity fundamental matrix solution matrix function
This article shows that the commutativity condition [A(t), A′(t)] = 0 is often not necessary to guarantee the chain rules for matrix functions: and where A(t) is a square matrix of differentiable functions and f is an analytic function. A further question on the chain rules is presented and discussed.

Metrics

1 Record Views

Details