When I turn my computer on the monitor stays off. I press the monitor's power button and the orange light above it goes off, obviously turning it off. I press it again and the light turns blue, the words "Analog Power Saving Mode" coming up on the screen. A few seconds after, the screen goes black and the light turns orange again.

Or just plug the video lead into the onboard connection (vga) if that doesnt work try hitting f1 when your pc is loading as sometimes the bios may be set to run in pci (graphics card) but will tell you at startup to press f1 to continue but you wont be able to see that message as its still in vga mode at this point ? i hope you understand me sorry lol, on my pc i hit f1 after 1 minute of loading to allow the computer time to get to the loading screen (which we cant see) then i know that when i press F1 the screen pops into life after about 15 seconds try it

The monitor is not getting any video information from your computer .. check the connection at the computer to make sure it is fully plugged in .. make sure the video card (if it has one) is securely in place ... make sure the monitor is actually plugged into the right connector .. you may have a bad video card or a damaged cable to your monitor .. you can plug the monitor into another computer to make sure its ok ..