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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

10-18-2020 06:46 AM

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10-18-2020 03:13 PM

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@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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** LabVIEW Champion. It all comes together in GCentral **

**What does "Engineering Redefined" mean??**

10-18-2020 04:17 PM - edited 10-18-2020 04:19 PM

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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:

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.

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10-18-2020 04:30 PM

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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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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

10-21-2020 11:04 AM

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** LabVIEW Champion. It all comes together in GCentral **

**What does "Engineering Redefined" mean??**

10-22-2020 12:40 PM

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

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10-22-2020 01:39 PM

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