Some Generalizations And Modifications Of Iterative Methods For Solving Large Sparse Symmetric Indefinite Linear Systems
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Date
2014-04
Authors
Li, Yu-Chien
Chen, Jen-Yuan
Kincaid, David R.
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Abstract
We discuss a variety of iterative methods that are based on the Arnoldi process for solving large sparse symmetric indefinite linear systems. We describe the SYMMLQ and SYMMQR methods, as well as generalizations and modifications of them. Then, we cover the Lanczos/MSYMMLQ and Lanczos/MSYMMQR methods, which arise from a double linear system. We present pseudocodes for these algorithms.
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Yu-Chien Li, Jen-Yuan Chen, and David R. Kincaid, “Some Generalizations and Modifications of Iterative Methods for Solving Large Sparse Symmetric Indefinite Linear Systems,” Abstract and Applied Analysis, vol. 2014, Article ID 237808, 11 pages, 2014. doi:10.1155/2014/237808