7 band (diagonal) matrix algorithm for solving the system of equation

Hi, I have a 7band system of equation (V=A'I) where V is the solution (n*1), A is a n*n sparse 7 band matrix and matrix I is n*1. I tried to reduce the runtime by using sparse matrix operation however the runtime is still high. Is there any approach to solve the 7 band systems of equation more quickly. Actually I am looking for a set of equations such as for tridiagonal/pentadiagonal system. thanks