Functions are called using the familiar MATLAB syntax and are available for integration, differentiation, simplification, equation solving, and other mathematical tasks. (This is an example of why I find Mathematica a more enjoyable computational environment no alien toolboxes. Symbolic Math Toolbox enables you to perform symbolic computations from the MATLAB command line by defining a special data type symbolic objects. But for anything iterative - and this holds for algorithms in general, not just for my own example of numerically integrating elliptic integral functions - you’ll want to avoid the overhead of switching to the symbolic toolbox mid-calculation. So the symbolic toolbox is fine if you just need to evaluate a value or two. The Symbolic Math package, included in the Student Edition of Matlab, allows us to easily do symbolic manipulations on equations, such as factoring, solving, root finding, integrating, differentiating and solving differential equations. That’s a small fraction of a second - seems fast! Compare with Igor’s native Matlab function: (Quite an impressive collection, actually.) However, if you actually wish to use these functions for something computationally intensive, such as numerical integration, it’s a bad idea to use them. Those with a variety of Matlab toolboxes, however, will usually run into the newish functions provided by the symbolic toolbox ellipticF, ellipticE, and friends.
Hence Igor Moiseev’s valuable work in this area ( now moved to Github). Matlab has historically only included the bare minimum here: in-built function to calculate the first and second complete elliptic integrals. These are a funny set of functions that I’ve discussed before. My real work in magnetics involves evaluating sometimes complex integrals that often result in solutions that include the elliptic integrals. Elliptic integrals in Matlab: symbolic toolbox is slow Posted: Ap| Author: wspr | Filed under: Uncategorized | Leave a comment
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