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- W218725784 abstract "Matrices of two-by-two block form with matrix blocks of equal order arise in various important applications, such as when solving complex-valued systems in real arithmetics, in linearized forms of the Cahn–Hilliard diffusive phase-field differential equation model and in constrained partial differential equations with distributed control. It is shown how an efficient preconditioner can be constructed which, under certain conditions, has a resulting spectral condition number of about 2. The preconditioner avoids the use of Schur complement matrices and needs only solutions with matrices that are linear combinations of the matrices appearing in each block row of the given matrix and for which often efficient preconditioners are already available." @default.
- W218725784 created "2016-06-24" @default.
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- W218725784 date "2013-01-01" @default.
- W218725784 modified "2023-09-27" @default.
- W218725784 title "Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I" @default.
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- W218725784 doi "https://doi.org/10.1007/978-1-4614-7172-1_3" @default.
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