Katz's middle convolution and Yokoyama's extending operation
Abstract. We give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchsian systems on the Riemann sphere.
Keywords: Fuchsian systems, middle convolution.
Mathematics Subject Classification: 34M35, 34M40, 34M15.