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lambert W equation ,h

I am trying to solve some Transcendental equation using LabVIEW by using Lambert W function,is anyone have an idea how to create VI of Lambert W function

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Re: lambert W equation ,h

@ajit107 wrote:

I am trying to solve some Transcendental equation

So you need the LametW function as some kind of LUT (e.g. Solving_equations)

How does your transcendental equation look like?

According to wikipedia, the Lambert W function for  real numbers can be expressed as:

I suppose, this can be extended to complex numbers.

Note that the Formula Node in the above snippet doesn't support complex numbers.

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Re: lambert W equation ,h

Here is a slightly simpler implementation of the REAL function, but I am pretty sure you are looking for the complex version. (I am just using complex to define x and y for the xy graph. Not the same)

@ajit107 wrote:

I am trying to solve some Transcendental equation using LabVIEW by using Lambert W function,is anyone have an idea how to create VI of Lambert W function

Please described exactly what you mean by "solve". What are the inputs (e.g. with inputs z(complex) and k(integer), for example) and what is the desired output.

LabVIEW Champion. It all comes together in GCentral
What does "Engineering Redefined" mean??
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Re: lambert W equation ,h

you can

- use Newton Raphson Zero Finder or the Ridders Zero Finder.

- programm the recursive newton-raphson algorithm using the formula

- use the following formula for large x values

W= ln(x)-ln(ln(x))+ln(ln(x))/ln(x)

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Re: lambert W equation ,h

i have the value of the x in the  order 125e110, which will be a suitable algorithm or vi for lambert w function please suggest

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Re: lambert W equation ,h

That's a pretty large x. Have you tried the approximation for large x values mentioned above?

LabVIEW Champion. It all comes together in GCentral
What does "Engineering Redefined" mean??
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Re: lambert W equation ,h

For 125E110 the NR Zero Finder result is 2,525809422E+2 and the reverse calulation is 125E110.

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