Differentiable generalized inverses
John Z. Hearon, John Evans · Journal of Research of the National Bureau of Standards Section B Mathematical Sciences · 1968
Necessary and sufficient conditions are given for a differentiable matrix to have a differentiable generalized inverse.It is shown that when these conditions are met there exist, for several classes of generalized inverses, a differentiable ge neralized inverse which coincides with a prescribed generalized inverse on a particular su bset.The relations between the derivative of a matrix and that of a differen tiable generalized inverse are given.