Increasing output voltage of a fixed linear regulator
Fairchild datasheets for their LM78XX series of linear regulators contain a circuit for increasing the output using a resistor to hold the reference above ground. I guess how well it works in practice will depend on how stable the quiescent current is over the operating range for the AMS1117.



The above image was from the Fairchild 7805 datasheet that may be found here:

http://www.fairchildsemi.com/ds/LM/LM7805.pdf