a short question again, is there any function that performs sorting on elements of the matrix?

you can add this function

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EIGEN_STRONG_INLINE void sort(){
   std::sort(derived().data(), derived().data()+size());
}

with the EIGEN_MATRIXBASE_PLUGIN (http://eigen.tuxfamily.org/dox/CustomizingEigen.html) You have to create an file addon.h and add the line #define EIGEN_MATRIXBASE_PLUGIN "addon.h" in a header file.

Then you can use it :

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A.sort();