Multiplication algorithm information

A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient...

matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms efficient...

The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a divide-and-conquer...

Unsolved problem in computer science: What is the fastest algorithm for matrix multiplication? (more unsolved problems in computer science) In theoretical...

Strassen algorithm, named after Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for...

Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two...

peasant multiplication algorithm, does not. The example below illustrates "long multiplication" (the "standard algorithm", "grade-school multiplication"):...

Newton–Raphson and Goldschmidt algorithms fall into this category. Variants of these algorithms allow using fast multiplication algorithms. It results that, for...

Montgomery. Montgomery modular multiplication relies on a special representation of numbers called Montgomery form. The algorithm uses the Montgomery forms...

Schönhage–Strassen algorithm: an asymptotically fast multiplication algorithm for large integers Toom–Cook multiplication: (Toom3) a multiplication algorithm for large...

linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns...

pattern; or some combination. Booth's multiplication algorithm Fused multiply–add Dadda multiplier Wallace tree BKM algorithm for complex logarithms and exponentials...

of doing the multiplication: group it the way that yields the lowest total cost, and do the same for each factor. However, this algorithm has exponential...

Odlyzko–Schönhage algorithm applies the FFT to finite Dirichlet series Schönhage–Strassen algorithm – asymptotically fast multiplication algorithm for large integers...

variety of multiplication algorithms, M ( n ) {\displaystyle M(n)} below stands in for the complexity of the chosen multiplication algorithm. This table...

methods devised by Trachtenberg. Some of the algorithms Trachtenberg developed are ones for general multiplication, division and addition. Also, the Trachtenberg...

Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally...

modular multiplicative inverse of b modulo a. Similarly, the polynomial extended Euclidean algorithm allows one to compute the multiplicative inverse...

Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly. It is used in elliptic...

2 modulo 5. Division is multiplication by the inverse modulo p, which may be computed using the extended Euclidean algorithm. A particular case is GF(2)...

is not efficient, faster algorithms are known, matching to within a constant factor the time for fast multiplication algorithms for numbers with the same...

arithmetic algorithms for addition, subtraction, multiplication, and division are described. For example, through the standard addition algorithm, the sum...