I have the following well known linear equation:
P=AP+N
where A is a square non-negative irriducible matrix (the spectrum radius is less than one), N is a vector of known values and P is the vector to compute.
I am seraching for a relation between the entry P(j) (the jth element of P), the entry N(j), the spectrum radius of A and either the jth line or row (or combination) entries of matrix A.
I would appreciate it if someone could give me some ideas.
Regards,
Jad
P=AP+N
where A is a square non-negative irriducible matrix (the spectrum radius is less than one), N is a vector of known values and P is the vector to compute.
I am seraching for a relation between the entry P(j) (the jth element of P), the entry N(j), the spectrum radius of A and either the jth line or row (or combination) entries of matrix A.
I would appreciate it if someone could give me some ideas.
Regards,
Jad