I dont think it matters for the image quality. Not to my knowledge anyway.
if you didnt know, HDMI carries sound too, But DVI doesnt and requires another cable to take sound from the pc to the monitor, however, if you connect speakers directly to your system this doesnt matter.
If your monitor supports 1920 x 1200 or above,best with "Dual Link" DVI cable to get the full benefit,this wil probably be supplied with the Iiyama monitor if supported.