2003•Journal of Xidian UniversityRequires access

Iterative solution for dense linear systems arising in computational electromagnetics

Changhong Liang

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Abstract

This paper discusses some preconditions with Krylov methods for the solutoin of large dense complex symmetric nonHermitian systems arising in computational elecetromagnetics. Many tests show that BICGSTAB or GMRES Krylov subspace methods preconditioned with ILUT are quite efficient for this class of application. They can deliver a good rate of convergence but their construction and storage are not expensive.

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What this paper is about

This paper discusses some preconditions with Krylov methods for the solutoin of large dense complex symmetric nonHermitian systems arising in computational elecetromagnetics. Many tests show that BICGSTAB or GMRES Krylov subspace methods preconditioned with ILUT are quite efficient for this class of application. They can deliver a good rate of convergence but their construction and storage are not expensive.

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Available abstract

This paper discusses some preconditions with Krylov methods for the solutoin of large dense complex symmetric nonHermitian systems arising in computational elecetromagnetics. Many tests show that BICGSTAB or GMRES Krylov subspace methods preconditioned with ILUT are quite efficient for this class of application. They can deliver a good rate of convergence but their construction and storage are not expensive.

Key concepts: Biconjugate gradient stabilized method, Krylov subspace, Generalized minimal residual method, Linear system, Computer science, Applied mathematics, Convergence (economics), Iterative method

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