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First Cauchy theorem
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Analyzing univariate polynomials
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Introduction
Contents
Finding bounds on the roots
Subsections
First Cauchy theorem
Mathematical background
Implementation
Example
Second Cauchy theorem
Mathematical background
Implementation
Example
Third Cauchy theorem
Mathematical background
Implementation
Lagrange-MacLaurin theorem
Mathematical background
Implementation
Example
Laguerre method
Mathematical background
Implementation
Example
Laguerre second method
Mathematical background
Implementation
Newton method
Mathematical background
Implementation
Newton theorem
Mathematical background
Implementation
Joyal bounds
Mathematical background
Implementation
Pellet method
Mathematical background
Implementation
Global implementation
Example
Kantorovitch theorem
Implementation
Example
Jean-Pierre Merlet 2012-12-20