SINGULAR INTEGRAL EQUATIONS AND UNDERDETERMINED SYSTEMS

  • KIM, SEKI (DEPARTMENT OF MATHEMATICS, SUNGKYUNKWAN UNIVERSITY)
  • Published : 1998.12.31

Abstract

In this paper the linear algebraic system obtained from a singular integral equation with variable coeffcients by a quadrature-collocation method is considered. We study this underdetermined system by means of the Moore Penrose generalized inverse. Convergence in compact subsets of [-1, 1] can be shown under some assumptions on the coeffcients of the equation.