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The Master Method
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The Master Method

Creator
Creator
Seonglae Cho
Created
Created
2023 Sep 7 7:38
Editor
Editor
Seonglae Cho
Edited
Edited
2024 Sep 26 12:50
Refs
Refs
Divide and Conquer paradigm
Recurrence relation

Master Theorem

The master method applies to recurrences of the form

T(n)=aT(n/b)+f(n)T(n) = aT(n/b) + f(n)T(n)=aT(n/b)+f(n)
where a≥1,b≥1a\ge 1, b\ge1a≥1,b≥1, and fff is
Asympotically positive
The Master Method Notion
The Master Method Case
Asympotically positive
 
 
 
Master theorem (analysis of algorithms)
In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis (using Big O notation) for recurrence relations of types that occur in the analysis of many divide and conquer algorithms. The approach was first presented by Jon Bentley, Dorothea Blostein (née Haken), and James B. Saxe in 1980, where it was described as a "unifying method" for solving such recurrences.[1] The name "master theorem" was popularized by the widely-used algorithms textbook Introduction to Algorithms by Cormen, Leiserson, Rivest, and Stein.
Master theorem (analysis of algorithms)
https://en.wikipedia.org/wiki/Master_theorem_(analysis_of_algorithms)
 
 

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Recurrence relation

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The Master Method
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