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Families of methods depending on free parameters are constructed for the solution of nonsingular Volterra integral equations of the first kind in  . These parameters are restricted to certain regions in order that a certain polynomial satisfies both a stability and a consistency condition. In this note an optimal choice of the free parameters is outlined in order that the /2-norm of the roots of the polynomial is minimized.doi:10.2307/2007328 fatcat:b2ons42lfjgubcko2cgqvtuznq