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I've been alerted to the TO-220 package adjustable regulators from Jaycar that adjust from 1.2vDC to 13vDC with the help of a couple of resistors of specific values placed across a couple of the legs. Looks like they will supply 3A reliably
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As bojan pointed out dissipation is very high at maximum current, meaning that these regulators are extremely inefficient. It's also necessary to have a voltage differential, i.e. to get 12 volts output you will probably need 5 Volts higher or more (17+ volts), you can't get 12 Volts from a 12 V supply with a linear regulator.