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  2. Grid method multiplication - Wikipedia

    en.wikipedia.org/wiki/Grid_method_multiplication

    The grid method (also known as the box method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in mathematics education at the level of primary school or elementary school , this algorithm is sometimes called the grammar school method.

  3. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    This is the usual algorithm for multiplying larger numbers by hand in base 10. ... Algorithm uses divide and conquer strategy, to divide problem to subproblems.

  4. Karatsuba algorithm - Wikipedia

    en.wikipedia.org/wiki/Karatsuba_algorithm

    The basic principle of Karatsuba's algorithm is divide-and-conquer, using a formula that allows one to compute the product of two large numbers and using three multiplications of smaller numbers, each with about half as many digits as or , plus some additions and digit shifts.

  5. Divide-and-conquer algorithm - Wikipedia

    en.wikipedia.org/wiki/Divide-and-conquer_algorithm

    The divide-and-conquer technique is the basis of efficient algorithms for many problems, such as sorting (e.g., quicksort, merge sort), multiplying large numbers (e.g., the Karatsuba algorithm), finding the closest pair of points, syntactic analysis (e.g., top-down parsers), and computing the discrete Fourier transform . [1]

  6. Schönhage–Strassen algorithm - Wikipedia

    en.wikipedia.org/wiki/Schönhage–Strassen...

    The run-time bit complexity to multiply two n-digit numbers using the algorithm is (⁡ ⁡ ⁡) in big O notation. The Schönhage–Strassen algorithm was the asymptotically fastest multiplication method known from 1971 until 2007.

  7. List of algorithms - Wikipedia

    en.wikipedia.org/wiki/List_of_algorithms

    Fürer's algorithm: an integer multiplication algorithm for very large numbers possessing a very low asymptotic complexity; Karatsuba algorithm: an efficient procedure for multiplying large numbers; Schönhage–Strassen algorithm: an asymptotically fast multiplication algorithm for large integers; Toom–Cook multiplication: (Toom3) a ...

  8. Strassen algorithm - Wikipedia

    en.wikipedia.org/wiki/Strassen_algorithm

    The number of additions and multiplications required in the Strassen algorithm can be calculated as follows: let () be the number of operations for a matrix. Then by recursive application of the Strassen algorithm, we see that f ( n ) = 7 f ( n − 1 ) + l 4 n {\displaystyle f(n)=7f(n-1)+l4^{n}} , for some constant l {\displaystyle l} that ...

  9. Toom–Cook multiplication - Wikipedia

    en.wikipedia.org/wiki/Toom–Cook_multiplication

    Given two large integers, a and b, Toom–Cook splits up a and b into k smaller parts each of length l, and performs operations on the parts. As k grows, one may combine many of the multiplication sub-operations, thus reducing the overall computational complexity of the algorithm. The multiplication sub-operations can then be computed ...

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