Matrix Differentiation of the Characteristic Function
1931 ◽
Vol 2
(4)
◽
pp. 256-264
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Keyword(s):
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.
1961 ◽
Vol 8
(1)
◽
pp. 238-241
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1932 ◽
Vol 38
(4)
◽
pp. 251-255
1928 ◽
Vol 1
(2)
◽
pp. 111-128
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2008 ◽
Vol 102
(2-3)
◽
pp. 237-247
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1974 ◽
Vol 79
(5)
◽
pp. 213-222
Keyword(s):
2010 ◽
Vol 43
(12)
◽
pp. 125205
Keyword(s):
2010 ◽
Vol 62
(1)
◽
pp. 87-97
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Keyword(s):
2001 ◽
Vol 288
(3-4)
◽
pp. 196-206
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