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Exponentiation by squaring

In mathematics and computer programming, exponentiating by squaring is a general method for fast computation of large positive integer powers of a number, or more generally of an element of a semigroup, like a polynomial or a square matrix. Some variants are commonly referred to as square-and-multiply algorithms or binary exponentiation. These can be of…

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Overview

Basic method

Computational complexity

2k-ary method

Montgomery's ladder technique

Fixed-base exponent

Further applications

Signed-digit recoding

Alternatives and generalizations

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Exponentiation by squaring

Nodes53
Edges52
Triples6
Avg. degree1.96
Density0.037736
Components1

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Exponentiation by squaring

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related to Alternatives and generalizations · 6
Exponentiation by squaring → Exponentiation, However, In, More, Regardless, The

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Important terminology

algorithm displaystyle exponent method number multiplications binary representation one integer using given algorithms exponentiation multiplication example also compute squaring computation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Exponentiation by squaringrelated to Alternatives and generalizationsExponentiation0.60section
Exponentiation by squaringrelated to Alternatives and generalizationsMore0.60section
Exponentiation by squaringrelated to Alternatives and generalizationsThe0.60section
Exponentiation by squaringrelated to Alternatives and generalizationsIn0.60section
Exponentiation by squaringrelated to Alternatives and generalizationsHowever0.60section
Exponentiation by squaringrelated to Alternatives and generalizationsRegardless0.60section

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