mldivide, backslash \ operator options

Hello, I'm solving the system
x=A\B;
the size of A is is around [1e6 x 1e6] and is a symmetric and sparse matrix with 5 non-zero diagonals (2D laplace equation).
the \ operator is extremely slow, and all other numerical methods (including bicgstab) doesn't Provide a good solution.
what I need to do is to solve this equation many times, every time with different boundary conditions, meaning that A remains unchanged and all I'm changing is B.
my two questions are:
1) is there a way to know which method the \ operator is using so I can predetermine the options to minimize the execution time? 2) is there a way to give an initial guess to this operator so it will converge much faster?
thanks in advance

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2016-3-7

编辑:

2017-4-3

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