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Find Multiple Zeros 1D (Ridders » Formula) (G Dataflow)

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    Last Modified: August 28, 2017

    Determines multiple zeros of a function in a given interval using the Ridders' method. You define the function with a formula.

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    formula

    Formula that defines the function.

    Entering Valid Variables

    This node accepts variables that use the following format rule: variables must start with a letter or an underscore followed by any number of alphanumeric characters or underscores.
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    start

    Start value of the interval.

    Default: 0

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    end

    End value of the interval.

    Default: 1

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    step type

    Type of function to use to control the spacing of the function values.

    Name Value Description
    Fixed Function 0 Uses a fixed function that generates evenly-spaced function values.
    Modified Function 1 Uses a modified function that optimizes the step size to generate more accurate results.

    Default: Fixed Function

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    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.

    error in does not contain an error error in contains an error
    If no error occurred before the node runs, the node begins execution normally.

    If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

    If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

    Default: No error

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    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.

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    accuracy

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

    Default: 1E-08

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    maximum iterations

    Maximum number of iterations that the node runs to determine the zeros.

    Default: 200

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    zeros

    Determined values of the independent variable where the function evaluates to zero.

    These values are an approximation of the actual values of the variable where the function evaluates to zero.

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    f(zeros)

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

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    possible singularities

    Points in the interval where the function is likely undefined.

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    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.

    error in does not contain an error error in contains an error
    If no error occurred before the node runs, the node begins execution normally.

    If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

    If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

    To determine the zeros of x2 + sin(x) - 1 in the interval (-2, 2), enter the following values on the panel.

    formula x^2+sin(x)-1
    start -2
    end 2

    The following table lists the outputs of this node.

    zeros [-1.40962, 0.636733]
    f(zeros) [6.16884E-12, 8.16236E-12]
    possible singularities Empty array

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: This product does not support FPGA devices

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


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