Title :
Physical and mathematical structure determine convergence rate of iterative techniques
Author :
Canning, Francis X.
Author_Institution :
Rockwell Int. Sci. Center, Thousand Oaks, CA, USA
fDate :
7/1/1989 12:00:00 AM
Abstract :
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
Keywords :
convergence of numerical methods; iterative methods; conjugate gradient method; convergence rate; generalized conjugate residual; iterative techniques; mathematical structure; moment-method equation; moment-method matrix; Canning; Convergence; Eigenvalues and eigenfunctions; Equations; Gradient methods; Iterative algorithms; Iterative methods; Matrix decomposition; Moment methods; Scattering;
Journal_Title :
Magnetics, IEEE Transactions on
