Abstract
A useful identity expressing the derivative of an unknown variable x k of X with respect to an entry in the coefficient matrix of a linear system AX = B is presented. If the derivatives of x k with respect to each entry of A or their combinations are required, then the identity avoids the repeated solution of the linear equations, and may result in a symbolic solution provided A -1 is known. A method to measure the sensitivity in an n-port linear system is proposed, and its relationships to Kron's method of tearing and Branin's formulae are also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have