Perturbation Analysis for the Matrix EquationX−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I
Keyword(s):
We consider the perturbation analysis of the matrix equationX−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I. Based on the matrix differentiation, we first give a precise perturbation bound for the positive definite solution. A numerical example is presented to illustrate the sharpness of the perturbation bound.
2005 ◽
Vol 394
◽
pp. 39-51
◽
Keyword(s):
2001 ◽
Vol 76
(3)
◽
pp. 331-338
◽
Keyword(s):
2007 ◽
Vol 200
(2)
◽
pp. 520-527
◽
Keyword(s):
Keyword(s):
1993 ◽
Vol 194
◽
pp. 91-108
◽
Keyword(s):