Order of Complexity of Code Generation from Symbolic Expressions using matlabFunction

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Moritz Schappler
Moritz Schappler 2014-11-4
回答： Moritz Schappler 2015-1-11
Hello,
I am currently generating m-Functions from symbolic expressions and am wondering about the time complexity of the generation and optimization algorithm used in the function "matlabFunction(symbolic_expression)".
I created m-Code from a 7x1-Vector with symbolic expressions (Coriolis-Torques of a Robot). This took 3 days calculating time without further optimizations on the symbolic expression. Now I want to create the m-Code for a 7x7-Matrix (Coriolis-Matrix) with expressions similar to those in the aforementioned 7x1-Vector.
Is the time complexity of "matlabFunction" linear, i.e. O(n)? Then the calculations would take approximately 7 times as long in my understanding (that means 21 days).
Or is the time complexity higher due to cross-element-optimizations of the code (i.e. O(n^2) ). Then it would take about forever.
Any suggestions would be helpful to determine if I can expect a result or am just increasing my institutes electricity bill.
P.S.: I use Matlab 2014a.

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Moritz Schappler
Moritz Schappler 2015-1-11
I just wanted to close this question. After 24 days I aborted the calculation. It seems, that the optimization algorithm has more than linear complexity. With Maple, the whole calculation could be done much faster.

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