Does lacking positive definiteness of the matrix of coefficients in a system of equations, make using iterative solvers impractical?
Using the finite volume method, I have obtained a system of equations for the dependent variable (the unknown field). The problem is that I want to use iterative solvers to solve this system of equations; however, the way that I have discretised the governing equation results in a matrix of coefficients which is not positive definite.
May this cause a problem during the solution procedure? Actually I want to know how definiteness of a matrix relates to the choice that should be made regarding the solver. I am also looking for a book that directs attention to this topic.