Physical and mathematical structure determine convergence rate of iterative techniques

The use of various iterative techniques used to solve the moment-method equation is discussed. The conjugate gradient method has previously been used to solve moment-method problems. Since the moment-method matrix (theoretically) has a positive definite Hermitian part, the generalized conjugate residual (GCR) method can also be used. Sample calculations show that the GCR has superior convergence, especially when the moment-method discretization preserves the abovementioned matrix property.<
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