newton {cmna} | R Documentation |

## Newton's method

### Description

Use Newton's method to find real roots

### Usage

```
newton(f, fp, x, tol = 0.001, m = 100)
```

### Arguments

`f` |
function to integrate |

`fp` |
function representing the derivative of |

`x` |
an initial estimate of the root |

`tol` |
the error tolerance |

`m` |
the maximum number of iterations |

### Details

Newton's method finds real roots of a function, but requires knowing
the function derivative. It will return when the interval between
them is less than `tol`

, the error tolerance. However, this
implementation also stops after `m`

iterations.

### Value

the real root found

### See Also

Other optimz:
`bisection()`

,
`goldsect`

,
`gradient`

,
`hillclimbing()`

,
`sa()`

,
`secant()`

### Examples

```
f <- function(x) { x^3 - 2 * x^2 - 159 * x - 540 }
fp <- function(x) {3 * x^2 - 4 * x - 159 }
newton(f, fp, 1)
```

[Package

*cmna*version 1.0.5 Index]