A Lagrange matrices approach to confluent Cauchy matrices

摘要: We present a new approach to study inversion and factorization properties of confluent Cauchy matrices. consider class generalized Vandermonde matrices, called Lagrange that are connected in simple way with the apply methods introduced [Adv. Appl. Math. 10 (1989) 348] obtain theorems for matrices their forms, then derive corresponding results matrices.A matrix V is associated pair vectors (x0,x1,…,xn) (y0,y1,…,yn). representation substitution operator sends vector (p(x0),p(x1),…,p(xn))T (p(y0),p(y1),…,p(yn))T, any polynomial p degree at most n.