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- W2533139619 abstract "For singular nonsymmetric saddle-point problems, a shift-splitting preconditioner was studied in (Appl. Math. Comput. 269:947-955, 2015). To further show the efficiency of the shift-splitting preconditioner, we provide eigenvalue bounds for the nonzero eigenvalues of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices. For real parts of the eigenvalues, the bound is provided by valid inequalities. For eigenvalues having nonzero imaginary parts, the bound is a combination of two inequalities proving their clustering in a confined region of the complex plane. Finally, two numerical examples are presented to verify the theoretical results." @default.
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- W2533139619 date "2016-10-19" @default.
- W2533139619 modified "2023-09-29" @default.
- W2533139619 title "Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices" @default.
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- W2533139619 doi "https://doi.org/10.1186/s13660-016-1193-y" @default.
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