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10-18-2020 06:46 AM
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 03:13 PM
@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.
10-18-2020 04:17 PM - edited 10-18-2020 04:19 PM
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.
10-18-2020 04:30 PM
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)
10-21-2020 11:04 AM
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
10-22-2020 12:40 PM
That's a pretty large x. Have you tried the approximation for large x values mentioned above?
10-22-2020 01:39 PM
For 125E110 the NR Zero Finder result is 2,525809422E+2 and the reverse calulation is 125E110.