Determines the solutions of nonlinear systems of equations in n dimensions beginning with a starting point in n dimensions. Details
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accuracy controls the accuracy of the zero determination. The default is 1E - 8, which specifies the maximum deviation of the calculated solution from the actual solution. |
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h is a small distance to calculate derivatives. The default is 1E - 8. |
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Start is the start point in n D. |
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X is an array of strings representing the X variables. |
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F(X) is an array of strings defining the functions in nD. |
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Zeroes contains the determined zeros of F(X). |
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F(Zeroes) contains the function values of Zeroes. Usually, these values are close to 0. |
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ticks is the time in milliseconds to analyze the formula and to produce the Zeroes. |
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error returns any error or warning condition from the VI. |
Let F be the n-dimension function and let X be a given point in n dimensions.
Furthermore, let
The algorithm is looking for such a vector P that
F(X + dP) F(X)
for all 0 d
1.
In a second step, an appropriate value, d*, is calculated, so that
F(X + d*P)
is considerably smaller than F(X). This process is repeated until F(X) 0 is reached. What follows is an approximation for F(X) = 0.