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An Application of Cyclic Reduction to Ritz Type Difference Equations

1964
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Mathematics of Computation
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1. Introduction. Iterative methods are often preferred over direct methods for solving the large systems of linear algebraic equations which arise in the finite difference approximation of boundary value problems for elliptic partial differential equations. An important reason for this preference is that the nonzero elements of the coefficient matrix are quite sparse, occurring in narrow bands along and parallel to the main diagonal. Since an iterative method such as successive over-relaxation

doi:10.2307/2003303
fatcat:x43i7ngk4reghkklkndd3mg5wq