Abstract
Assume A ∈ C n × n is a 2-cyclic consistently ordered matrix and J is denoted as its associated block Jacobi iteration matrix. We consider the 2-cyclic AOR method for solving the consistent linear systems Ax = b . In the case that σ ( J 2 ) is either nonnegative or nonpositive, we give detailed discussion and derive definite expressions on optimal parameters and spectral radius by efficient method. Moreover, we give some numerical examples.
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