Cox and Mathews describe a fourth-order method exponential time differencing ( ETD ) method that they used Maple to derive.
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In larger examples, many more values of fib, or " subproblems ", are recalculated, leading to an exponential time algorithm.
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Without it, however, the resulting parser could exhibit exponential time performance in the worst case due to the unlimited look-ahead capability.
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Kautz's general framework for plan recognition has an exponential time complexity in worst case, measured in the size of input hierarchy.
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It also explains that an algorithm that requires exponential space will require exponential time, which is what I was looking for.
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TEBD also offers the possibility of straightforward parallelization due to the factorization of the exponential time-evolution operator using the Suzuki-Trotter expansion.
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If something is 100 times slower or have indications that it runs in exponential time, then you should probably consider other algorithms.
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Although dramatically faster than the systematic search, this method has also an exponential time complexity, and is therefore not used on computers.
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The strong exponential time hypothesis leads to tight bounds on the parameterized complexity of several graph problems on graphs of bounded treewidth.
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NP-complete problems fall into that category, except that they have not proven to require exponential time ( but they certainly seem to ).
