The features of the matrix **A** (symmetric, positive definitive, and
sparse), resulting from a FE formulation, significantly affect the strategy
for solving the system of equations. Write a program to calculate the
bandwidth of the matrix **A** in * A_transfer.dat* and estimate the
minimum size of the matrix (assuming double precision reals) based upon
your bandwidth estimate. Now write a program to calculate the number of
nonzero entries in the matrix

Referencing the chapter on Numerical Linear Algebra and the references therein, write a routine to store the matrix $A$ in a compressed format. Compare the size of the resulting size of the matrix (and/or vectors) with the original size.