Computational Complexity of Mathematical Operations

Computational Complexity Of Mathematical Operations

The following tables list the running time of various algorithms for common mathematical operations.

Here, complexity refers to the time complexity of performing computations on a multitape Turing machine. See big O notation for an explanation of the notation used.

Note: Due to the variety of multiplication algorithms, M(n) below stands in for the complexity of the chosen multiplication algorithm.

Read more about Computational Complexity Of Mathematical Operations:  Arithmetic Functions, Algebraic Functions, Number Theory, Matrix Algebra

Famous quotes containing the words complexity, mathematical and/or operations:

    The price we pay for the complexity of life is too high. When you think of all the effort you have to put in—telephonic, technological and relational—to alter even the slightest bit of behaviour in this strange world we call social life, you are left pining for the straightforwardness of primitive peoples and their physical work.
    Jean Baudrillard (b. 1929)

    What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.
    Boris Pasternak (1890–1960)

    There is a patent office at the seat of government of the universe, whose managers are as much interested in the dispersion of seeds as anybody at Washington can be, and their operations are infinitely more extensive and regular.
    Henry David Thoreau (1817–1862)