As I stated earlier I had a 100 Watt and a 400 Watt non-sine wave inverter. Those both ran my laptop just fine at the time. I changed computers and added one for my wife. Both of those computers wouldn't work with either the 100 Watt or 400 Watt inverters. Nothing happened with 100 Watt, they just wouldn't run or charge the battery
. The 400 Watt the circuit breaker kept tripping.
I changed to a pure sin-wave and both work as they're supposed too.
As was mentioned about harmonics, I suspected at the time the shape of the 60hz frequency was less important than the harmonics. I think the harmonics and the design of the computer power supply caused the problems.
Be careful what you read and believe on the internet, it might be exactly true.