Table Of Contents
Find a Zero 1D (Newton-Raphson » VI) (G Dataflow)
Determines a zero of a function in a given interval using the Newton-Raphson method. You define the function with a strictly typed VI reference.
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data
Arbitrary values passed to the strictly typed VI reference.
h
Step size that this node uses to calculate the numerical derivative of the given function.
Default: 1E-08
f(x)
Strictly typed reference to the VI that implements the function.
start
Start value of the interval.
Default: 0
end
End value of the interval.
Default: 1
error in
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
options
Conditions that terminate the process of finding zeros.
This node terminates the process of finding zeros if this node reaches the accuracy threshold or passes the maximum iterations threshold.
accuracy
Maximum deviation of the calculated solution from the actual solution when determining the zeros.
Default: 1E-08
maximum iterations
Maximum number of iterations that the node runs to determine the zeros.
Default: 200
zero
Determined value of the independent variable where the function evaluates to zero.
This value is an approximation of the actual value of the variable where the function evaluates to zero.
f(zero)
Function value at zero. The value is expected to be nearly zero.
stopping state
Conditions of the node when the node stops finding zeros.
accuracy
Deviation of the calculated solution from the actual solution.
iterations
Number of iterations that the node runs to determine the zero.
function calls
Number of evaluations of the formula to determine the zeros.
error out
Error information.
The node produces this output 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.
Algorithm for Determining Zeros Using the Newton-Raphson Method
The Newton-Raphson method combines the simple midpoint strategy and the Newton strategy to determine the zeros of a function. The midpoint strategy and the Newton strategy are defined by the following equation:
where
- x1 and x2 are given guesses with f(x1) * f(x2) < 0
- f is the given function
The following figure demonstrates the Newton strategy.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application