The Asymptotic Computational Complexity

A concept in computational complexity theory that uses asymptotic analysis to estimate the computational complexity of algorithms and computational problems. It provides an upper bound on the time or space complexity of an algorithm as the input size grows.

The Asymptotic Computational Complexity

Areas of application

  • Computer science
  • Algorithms and data structures
  • Theoretical computer science
  • Software engineering
  • Operating systems
  • Programming languages
  • Parallel computing

Example

Consider a simple algorithm that sorts a list of n items in n log n operations. The asymptotic computational complexity of this algorithm is O(n log n), which means that the number of operations required to sort the list grows logarithmically with the size of the input.