Hi I am trying to minimize the following objective function over F. Any suggestion is appreciated.
min_F ( Trace( (I-F)^-1 V 1^T) ),
0 <= F(i,j) <= 1,
F*1 = 1 - (V + K), K is constant vector given.
here, I is identity matrix, F is n by n matrix, V is n by 1 given vector, 1 is a column vector of all ones.