Algorithm to estimate time complexity of another algorithm -

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is possible develop algorithm estimate time complexity of algorithm? mean, input algorithm , output time complexity of (big-oh, big-omega, , on). not find on web.

thank you

let me extend @interjay's comment little bit.

the halting problem asking

if possible design turing machine (you may think program in computer) such given turing machine (again, think program) can decide whether or not input turing machine terminate eventually.

one can prove impossible design such turing machine. let consider question, if able design algorithm want, able answer whether given turing machine terminate or not. unfortunately impossible.

above argument called "reduction" 1 of popular way show given problem unsolvable.


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