Computational complexity of mathematical operations

Computational complexity of mathematical operations

The following tables list the computational complexity 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, below stands in for the complexity of the chosen multiplication algorithm.

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enThe following tables list the computational complexity 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, below stands in for the complexity of the chosen multiplication algorithm.
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Comparison computational complexity.svg
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enThe following tables list the computational complexity 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, below stands in for the complexity of the chosen multiplication algorithm.
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Agrawal's conjecture
AKS primality test
Algorithm
Analytic function
Arithmetic-geometric mean
Arithmetic–geometric mean
Baillie–PSW primality test
Balázs Szegedy
Bareiss algorithm
Big O notation
Binary GCD algorithm
Binary splitting
Bit-burst algorithm
Category:Computational complexity theory
Category:Computer arithmetic algorithms
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Chris Umans
Computational complexity
Computational complexity of matrix multiplication
Computational number theory
Coppersmith–Winograd algorithm
Determinant
Discrete Fourier transform
Division (mathematics)
E (mathematical constant)
Elementary function
Elliptic curve primality proving
Euclidean algorithm
Euler–Mascheroni constant
Exponential function
Exponential integral
Exponentiation by squaring
Factorial
Fast Fourier transform
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Finite field
Floating-point arithmetic
Galactic algorithm
Gamma function
Gauss–Jordan elimination
Gauss–Legendre algorithm
General number field sieve
Golden ratio
Greatest common divisor
Harvey-Hoeven algorithm
Henry Cohn
Horner's method
Hypergeometric function
Incomplete gamma function
Integer factorization
Integral transform
Jacobi symbol
Karatsuba algorithm
Laplace expansion
Long division
LU decomposition
Machin's formula
Mathematical analysis
Mathematical operation
Matrix inversion
Matrix multiplication algorithm
Miller–Rabin primality test
Modular exponentiation
Montgomery reduction
Multiplication
Multiplication algorithm
Multitape Turing machine
Natural logarithm
Newton's method
Newton–Raphson division
Number theory
Pi
Polynomial
Primality test
Quantum computer
Robert Kleinberg
Schönhage controlled Euclidean descent algorithm
Schönhage–Strassen algorithm
Shor's algorithm
Signal processing
Singular value decomposition
Solovay–Strassen primality test
Square root
Square root of 2
Stehlé–Zimmermann algorithm
Strassen algorithm
Subtraction
Taylor series
The Art of Computer Programming
Time complexity
Toom–Cook multiplication
Transformation (function)
Triangular matrix
Trigonometric function
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Complexidade computacional de operações matemáticas
Computational complexity of mathematical operations
Kompleksitet i matematikk
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Výpočetní složitost matematických operací
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Category:Computational complexity theory
Category:Computer arithmetic algorithms
Category:Mathematics-related lists
Category:Number theoretic algorithms
Category:Unsolved problems in computer science
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