The audio part should work, at least for stereo. And I think that is the easiest to test (so you can check 5.1 support).
Regarding the monitor, I see at Samsung that they say it supports HDCP (content protectin), so getting a DVI-to-HDMI cable or adaptor is ok. Note: all devices have female connectors, so you need male-to-male cables. You will need a male-to-female cable only if you need to daisy-chain 2 cables.
After that, just check to see if audio is set to optical, as HDMI can also send audio. Also, be warned that optical audio is one-way communication, so you need to manually tell the PS3 what signals it can send (44.1/48/96Khz and/or DTS 5.1) and be sure to test it.