Virtual ground / Rail Splitter using only LM317

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Hey guys,

sorry for this probably very basic question, but with the mess that the "search" function is returning I could not easily find my answer.

I wated to build a rail splitter for a headphones amp out of what I had in stock.
And I have Lm317 and only that.

So I've designed a circuit that works when simulating it.
I wanted your opinion.
Would that work ?

(the strange resistors values comes from what I have in stock too).

An externally hosted image should be here but it was not working when we last tested it.
 
Using lower values of resistor lowers this impedence but it also increases the current draw on the power supply.
The opamp buffer allows a lower impedence for the virtual ground.
This works of course depending on your application and current levels required returning to the virtual ground. jer
 
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