Quadratic convergence in interval arithmetic,part II

The size of the error incurred by one operation in an interval arithmetic procedure depends on the extent to which the operands are dependent, i.e., depend on the same initial variables. In this part we will investigate the effect of such dependence. Our results are applied to prove the quadratic convergence of the centered form and of a method of Hansen and Smith for solving linear algebraic systems.Supported in part by NSF grant GJ-797.