# BarBorManual: How to use BarBor function minimum approximator. In BarBorGradient: Function Minimum Approximator

## Description

Approximate a functions minimum with double monoton method.

## Usage

 `1` ```BarBor(exp,eps,x,v,n) ```

## Arguments

 `exp` Expression of the function to be minimized. `eps` Precision of the approximation, recommended value is 10^-10. `x` Starting point of the approximation. `v` A character vector of the functions variables, for instance the two dimension fuction x1*x1+10*x2*x2 needs a c("x1","x2") vector. `n` Maximum setps to make while approximating, if the calculation reaches this number it exits with the current value and point. Recommended to be 10000.

## Examples

 ```1 2 3 4 5 6``` ```test1 = expression(x1*x1+10*x2*x2) eps = 10^-15 x = c(3,4) v = c("x1","x2") n = 10000 BarBor(test1,eps,x,v,n) ```

### Example output

```[1] "Stationary point: "
[1] 0 0
[1] "Function value: "
[1] 0
[1] "Steps: "
[1] 10
Warning messages:
1: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

2: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

3: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

4: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

5: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

6: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.

7: In alph * gk :
Recycling array of length 1 in array-vector arithmetic is deprecated.