A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient...
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matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms efficient...
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Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation. The algorithm was invented...
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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...
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Unsolved problem in computer science: What is the fastest algorithm for matrix multiplication? (more unsolved problems in computer science) In theoretical...
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The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen...
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Strassen algorithm, named after Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for...
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Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two...
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introduced the new algorithm with its low complexity, and Stephen Cook, who cleaned the description of it, is a multiplication algorithm for large integers...
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peasant multiplication algorithm, does not. The example below illustrates "long multiplication" (the "standard algorithm", "grade-school multiplication"):...
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Newton–Raphson and Goldschmidt algorithms fall into this category. Variants of these algorithms allow using fast multiplication algorithms. It results that, for...
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Schönhage–Strassen algorithm: an asymptotically fast multiplication algorithm for large integers Toom–Cook multiplication: (Toom3) a multiplication algorithm for large...
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Montgomery. Montgomery modular multiplication relies on a special representation of numbers called Montgomery form. The algorithm uses the Montgomery forms...
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linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns...
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N)^{2}(\log \log N)\right)} utilizing the asymptotically fastest multiplication algorithm currently known due to Harvey and Van Der Hoven, thus demonstrating...
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Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally...
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Computational complexity of mathematical operations (category Computer arithmetic algorithms)
variety of multiplication algorithms, M ( n ) {\displaystyle M(n)} below stands in for the complexity of the chosen multiplication algorithm. This table...
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Binary multiplier (redirect from Multiplication ALU)
pattern; or some combination. Booth's multiplication algorithm Fused multiply–add Dadda multiplier Wallace tree BKM algorithm for complex logarithms and exponentials...
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Fast Fourier transform (redirect from FFT algorithm)
Odlyzko–Schönhage algorithm applies the FFT to finite Dirichlet series Schönhage–Strassen algorithm – asymptotically fast multiplication algorithm for large integers...
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methods devised by Trachtenberg. Some of the algorithms Trachtenberg developed are ones for general multiplication, division and addition. Also, the Trachtenberg...
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Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly. It is used in elliptic...
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arithmetic algorithms for addition, subtraction, multiplication, and division are described. For example, through the standard addition algorithm, the sum...
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modular multiplicative inverse of b modulo a. Similarly, the polynomial extended Euclidean algorithm allows one to compute the multiplicative inverse...
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brute-force matrix multiplication (which needs O ( n 3 ) {\displaystyle O(n^{3})} multiplications) was the Strassen algorithm: a recursive algorithm that needs...
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Two's complement (section Multiplication)
efficient algorithms actually implemented in computers. Some multiplication algorithms are designed for two's complement, notably Booth's multiplication algorithm...
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Greatest common divisor (category Multiplicative functions)
same complexity as the multiplication. However, if a fast multiplication algorithm is used, one may modify the Euclidean algorithm for improving the complexity...
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Finite field arithmetic (section Multiplication)
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)...
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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...
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is not efficient, faster algorithms are known, matching to within a constant factor the time for fast multiplication algorithms for numbers with the same...
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elementary school, this algorithm is sometimes called the grammar school method. Compared to traditional long multiplication, the grid method differs...
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