Transformasi Cayley Pada P-Matriks

Abstract

A matrix A have the form of a square P−matrix is nonsingular such that matrix (I + A) is nonsingular so that a new matrix C(A) = (I + A)−1(I − A) is formed. Matrix C(A) is called Cayley transform of A. Based on Cayley transform C(A), matrix A = (I + F)−1(I − F) be found. This paper investigated whether factors (I + F) and (I − F) are P−matrix and determine characterization of P−matrix in terms of its Cayley transform.