You can make your MATLAB code run faster by knowing exactly the options in functions that you are using (to spare the interpreter the trouble), but the memory use and the data type conversion that needs to happen in the background of your code will significantly affect your code performance.ĮDIT: The only problem with different language is, to implement the code above, you pretty much can write exactly something like the above and it would work in MATLAB. It is great that you can look up any variable your code makes and you can easily debug your code, however no one has infinite amount of memory and if you ever checked in task manager how much MATLAB is using, then you know how bad it is and this slows done both your code and your own machine. Another terrible thing that MATLAB does is its workspace. Note that nesting is just one of the issues MATLAB has. In any language, you have to choose the best solver straigth away. Why? Well think of the previous example, everytime you write solve_system, MATLAB needs to look it up and this takes time and more loops you nest, the slower your code is. How much time do you think it takes to do this there? Less than 1 minute! MATLAB will never ever achieve such speed. I did this by using armadillo library in C++. On the other hand, everyone with some algorithm and numerical math knowledge knows of Thomas algorithm where instead of inverting 5000 x 5000 matrix, you can store its three diagonals in three arrays, write one for loop and apply direct formula to get a solution (note that general methods for inverting a matrix can never be done by writing just one for loop). The interpreter will not bother to check if your matrix is tridiagonal and will solve you system by some LU factorisation method that would take a lot of time for matrix of that size. Say that your differential equation by finite difference method is tridiagonal and you are solving a 5000 x 5000 problem. On top of that, MATLAB interpreter is not all powerfull. It's a function to check if number is integer, the result of this function will be false, because MATLAB thinks every single number you write is double data type, simply because it's more general and easier to use. MATLAB uses horrible generalizations to simplify its syntax. You cannot have simplicity and efficiency at the same time.
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