A pfaffian formula of the generalized inverse function-valued fade approximant used in solving integral equations

Abstract

The generalized inverse function-valued Pad6 approximant was defined to solve the integral equations. However, it is difficult to compute the approximants by some high-order determinant formulas. In this paper, to simplify computation of the function-valued Pad6 approximants, an efficient Pfaffian formula for the determinants was extended from the matrix form to the function-valued form. As an important application, a Pfaffian formula of [4/4] type Pad6 approximant was established.