Abstract
Some general types of iterative methods for solving linear systems of algebraic equations are discussed. The methods are applied to linear systems, as arising from boundary element methods, in which known and unknown components of a vector are treated together. The structure of the vector is to be preserved. Some SOR-type and conjugate gradient-type iterative methods are proposed and compared. The effect of the locations of the known components of the solution vector on the rate of convergence is also investigated. Results demonstrate that the conjugate gradient-type methods can be superior to the SOR-type methods with respect to rate of convergence.
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