Programming classes

In Fortran a vector or matrix start with $1$, but it is easy to change a vector so that it starts with zero or even a negative number. If we have a double precision Fortran vector which starts at $-10$ and ends at $10$, we could declare it as REAL(KIND=8) :: vector(-10:10). Similarly, if we want to start at zero and end at 10 we could write REAL(KIND=8) :: vector(0:10). We have also seen that Fortran allows us to write a matrix addition $\mathbf{A} = \mathbf{B}+\mathbf{C}$ as A = B + C. This means that we have overloaded the addition operator so that it translates this operation into two loops and an addition of two matrix elements $a_{ij} = b_{ij}+c_{ij}$.

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