My screen is black, the white light is on, but no picture, i plugged it in to a different computer and does not work.

Asb3445, Reconnect unit to a "known good" pc that is fully booted to the win-desktop screen. Then and only then, turn "on" the lcd monitor. Hold a bright flashlight 1 inch from black lcd screen and tell me if you can see a very faint image of the win-desktop and icons. If you see icons, then monitor power supply is in "partial" shut down mode. If you see nothing, then the "switch mode power supply may be in "full" shut down mode. In either case, you or an electronics technician will need to investigate the reason why the SMPS/cold cathode fluorescent lamp "electronic inverter ballast circuit is in shutdown mode. Let me know results of "flashlight test" when you respond with additional comment to this response. You can view owners/tech types that have done video clips of lcd monitor repair on YOUTUBE to see just what is involved in doing a cheap DIY repair to "black screen of death" symptom. Once you know how "white light" is generated to light-up the rear side of your lcd panel, you will then have a working knowledge of how those new energy saving, screw-in curlie-Q CFL light bulbs work!! Only difference is they have a "converter ballast" circuit (ac to ac) and your monitor uses a "inverter ballast" (dc to ac) to generate 500v ac to 900v ac to light-up the very thin "straight" lamps that are hung along the top and bottom edges of your lcd panel. You can also read the fixya profiles of "budmrtn" and many other fine CCFL back-lit lcd monitor technicians here on fixya. Sometimes these units can be DIY repaired for $5 to $7 in parts. It's the labor charges that drive owners to doing their own DIY investigation and repair. Let us know what avenue of approach you will take after doing your research. I'm 12fixlouie on fixya.

Louie already gives you good advise and if you really want to DIY, then please read my guide below:
If you are going to DIY and have proper tools and know safety precaution then please read on:
Most common failures in the LCD monitors are bad capacitors (bulging top/seal or leaking) in the power supply (they should be replaced in a set), blown fuses; poor solder joints, failed inverter circuits (blown fuse, shorted transistors, shorted/open transformers), bad lamps (poor solder connections or worn out lamps). You will need to open it up and inspect the inside, see example of failed monitors to get some ideas what to look for: http://s807.photobucket.com/home/budm/allalbums
Post back what you see inside so we can guide you further and it will help out other people in the future also.

Basic LCD monitor troubleshooting guide:
http://www.fixya.com/support/r6150077-basic_lcd_monitors_troubleshooting
http://www.fixya.com/support/r5093881-lcd_flat_panel_tv_troubleshooting_guide

http://en.wikipedia.org/wiki/Capacitor_plague
Learn about bad caps: Capacitors kit: http://lcdalternatives.auctivacommerce.com/ he can make you a set of caps for you.