Version:

Last Modified: January 12, 2018

Determines a solution of a nonlinear system of equations in *n* dimensions beginning with a start point. You define the equations with a strictly typed VI reference.

Step size that this node uses to calculate the numerical derivatives of the given functions.

**Default: **1E-08

Strictly typed reference to the VI that implements the functions.

Arbitrary values passed to the strictly typed VI reference.

Start values of the *n*-dimension interval where this node starts searching for the solutions. Each element in this array represents the start value of the corresponding variable in **variables**.

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an **error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

**Default: **No error

Maximum deviation of the calculated solution from the actual solution when determining the zeros.

The node stops running if the difference between two consecutive approximations is equal to or less than the value of **accuracy**.

**Default: **1E-08

Determined values of the variables where the *n*-dimensional functions evaluate to zero.

These values are an approximation of the actual values of the variables where the functions evaluate to zero.

Function values at **zeros**. The values are expected to be nearly zero.

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

**error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

This node determines a solution of an *n*-dimension equation *F*(*X*) = 0 in the following way:

Let *f* = 0.5*F*^{2}.

This node looks for a vector *P* that always satisfies *f*(*X* + *d**P*) ≤ *f*(*X*) when 0 ≤ *d* ≤1.

If *F*(*X*) ≈ 0 is false, this node calculates an appropriate value *d*' so that *f*(*X* + *d*'*P*) < *f*(*X*) to a large extent. This node repeats this process until *F*(*X*) ≈ 0 is true.

**Where This Node Can Run: **

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application