AFAIK, SINGLE-link DVI-D and HDMI can be converted, bi-directionally, with mechanical adapters (minus the audio, in some cases).
But DUAL-link DVI-D, has TWO sets ofTMDS transcievers/transmitters, which divide up the pixel-clock load, almost like SLI. In order to convert between that and HDMI, you would need an ACTIVE adapter. AFAIK.
Unless the DVI-D side can accept or transmit the higher-clocked signal needed to drive the HDMI side, or vice-versa, as a SINGLE-link, but HIGHER-clocked (like HDMI does with their TMDS).
So, unless your Korean monitors can accept a 2560x1440P HDMI-like signal over a SINGLE TDMS link set, on the DVI-D port, and the video drivers on the source device are set up to handle that, it's not going to work with a passive HDMI-DVI-D converter.