Rewrite the matrix multiplication function. rearrange the loops and us…

[muhammadalhroob]

This PR enhances the matrix multiplication by rearranging loops and blocking to enhance the speed (a factor of 6 for very large matrices)

This Pull request:

Changes or fixes:

Checklist:

• [ *] tested changes locally
• updated the docs (if necessary)

This PR fixes #
Speeds up the code

[dpiparo]

Thanks! Could we have some tests in addition to the algorithm to ensure it works?

[muhammadalhroob]

I generated two 20×20 matrices using TRandom3 r(1) and verified the correctness of the resulting matrix C = A * B by printing the output. The attached slide includes the verification results, while the attached macro shows how the matrices were created and multiplied. I have also included a performance chart that highlights the observed improvements achieved through this implementation.
CompareAMultB.pdf

testMatrixMultiplication.C