Matrix Differentiation of the Characteristic Function
- 1 June 1931
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 2 (4), 256-264
- https://doi.org/10.1017/s0013091500007811
Abstract
The following work is a sequel to three previous communications, and more particularly to the first. The present object is to shew the effect of repeated operation with the matrix differential operator , when it acts upon a scalar matrix formed from an n rowed determinant |xij|, or sums of principal minors, the n2 elements xij being treated as independent variables. Thus when z is a scalar quantity ω z means the matrix [∂z/∂xij], whose ijth element is the derivative.Keywords
This publication has 1 reference indexed in Scilit:
- On Differentiating a MatrixProceedings of the Edinburgh Mathematical Society, 1927