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Computer Application in Polynomials

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Solutions of Equations

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Polynomials
Polynomial
Equation
Roots
Zero of a function
Square root
Methods of computing square roots
Integer square root
Rational root theorem
Ruffini's rule
Geometry of roots of real polynomials
Numerical Methods
Aberth method
Bisection method
Bailey's method (root finding)
Brent's method
Broyden's method
Bairstow's method
Durand–Kerner method
False position method
Fast inverse square root
Fixed-point iteration
Graeffe's method
Halley's method
Householder's method
Inverse quadratic interpolation
Laguerre's method
Muller's method
Newton's method
Ridders' method
Secant method
Sidi's generalized secant method
Solving quadratic equations with continued fractions
Splitting circle method
Steffensen's method
Spouge's approximation
Existing Computer Algorithms
Root-finding algorithm
Nth root algorithm
Alpha max plus beta min algorithm
Illinois algorithm
Jenkins–Traub algorithm
Lehmer–Schur algorithm
Schönhage–Strassen algorithm
Shifting nth root algorithm
CORDIC
Comparision of programs
Comparison of numerical analysis software