## Types in MathNet.Numerics.RootFinding

Type NewtonRaphson

Namespace MathNet.Numerics.RootFinding

Pure Newton-Raphson root-finding algorithm without any recovery measures in cases it behaves badly. The algorithm aborts immediately if the root leaves the bound interval.

### Public Static Functions

#### doubleFindRoot(Func<double, double> f, Func<double, double> df, double lowerBound, double upperBound, double accuracy, int maxIterations)

Find a solution of the equation f(x)=0.
##### Parameters
###### `Func<double, double>` f

The function to find roots from.

###### `Func<double, double>` df

The first derivative of the function to find roots from.

###### `double` lowerBound

The low value of the range where the root is supposed to be. Aborts if it leaves the interval.

###### `double` upperBound

The high value of the range where the root is supposed to be. Aborts if it leaves the interval.

###### `double` accuracy

Desired accuracy. The root will be refined until the accuracy or the maximum number of iterations is reached. Default 1e-8. Must be greater than 0.

###### `int` maxIterations

Maximum number of iterations. Default 100.

##### Return
###### `double`

Returns the root with the specified accuracy.

#### doubleFindRootNearGuess(Func<double, double> f, Func<double, double> df, double initialGuess, double lowerBound, double upperBound, double accuracy, int maxIterations)

Find a solution of the equation f(x)=0.
##### Parameters
###### `Func<double, double>` f

The function to find roots from.

###### `Func<double, double>` df

The first derivative of the function to find roots from.

###### `double` initialGuess

Initial guess of the root.

###### `double` lowerBound

The low value of the range where the root is supposed to be. Aborts if it leaves the interval. Default MinValue.

###### `double` upperBound

The high value of the range where the root is supposed to be. Aborts if it leaves the interval. Default MaxValue.

###### `double` accuracy

Desired accuracy. The root will be refined until the accuracy or the maximum number of iterations is reached. Default 1e-8. Must be greater than 0.

###### `int` maxIterations

Maximum number of iterations. Default 100.

##### Return
###### `double`

Returns the root with the specified accuracy.