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FindRoot   (Built-in Mathematica Symbol)
FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...
Numerical Root Finding   (Mathematica Tutorial)
NSolve gives you a general way to find numerical approximations to the solutions of polynomial equations. Finding numerical solutions to more general equations, however, can ...
Numerical Equation Solving   (Mathematica Tutorial)
Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...
Solving Equations   (Mathematica Tutorial)
An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...
Compiled   (Built-in Mathematica Symbol)
Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled.
MaxIterations   (Built-in Mathematica Symbol)
MaxIterations is an option that specifies the maximum number of iterations that should be tried in various built-in functions and algorithms.
Inverse Functions   (Mathematica Guide)

NRoots   (Built-in Mathematica Symbol)
NRoots[lhs == rhs, var] yields a disjunction of equations which represent numerical approximations to the roots of a polynomial equation.
Polynomial Equations   (Mathematica Guide)
Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...
Symbolic Evaluation   (Mathematica Tutorial)
The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...
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