A new construction of the block systems B(4,1,25) and B(4,1, 28)
B. Rokowska (1977)
Colloquium Mathematicae
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Displaying similar documents to “A new block triangular preconditioner for three-by-three block saddle-point problem”
A new construction of the block systems B(4,1,25) and B(4,1, 28)
Joint domain-decomposition -LU preconditioners for saddle point problems.
Le Borne, Sabine, Oliveira, Suely (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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The construction of resolvable block-systems
B. Rokowska (1985)
Colloquium Mathematicae
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A real-valued block conjugate gradient type method for solving complex symmetric linear systems with multiple right-hand sides
Yasunori Futamura, Takahiro Yano, Akira Imakura, Tetsuya Sakurai (2017)
Applications of Mathematics
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We consider solving complex symmetric linear systems with multiple right-hand sides. We assume that the coefficient matrix has indefinite real part and positive definite imaginary part. We propose a new block conjugate gradient type method based on the Schur complement of a certain 2-by-2 real block form. The algorithm of the proposed method consists of building blocks that involve only real arithmetic with real symmetric matrices of the original size. We also present the convergence...
The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices
Feng Wang, Deshu Sun (2015)
Open Mathematics
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The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present...
Block triangular preconditioners for -matrices and Markov chains.
Benzi, Michele, Uçar, Bora (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations.
L. Elsner, Volker Mehrmann (1991)
Numerische Mathematik
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Block approximate inverse preconditioners for sparse nonsymmetric linear systems.
Cerdán, J., Faraj, T., Malla, N., Marín, J., Mas, J. (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On parallel two-stage methods for Hermitian positive definite matrices with applications to preconditioning.
Castel, Jesús M., Migallón, Violeta, Penadés, José (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Explicit forms of block matrices in unbalanced cross classification
H. Mikos (1979)
Applicationes Mathematicae
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On a class of matrices which arise in the numerical solution of Euler equations.
Reinhard Nabben (1992)
Numerische Mathematik
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Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications
Owe Axelsson (2017)
Applications of Mathematics
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Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based on a transformation matrix with a perturbation of one of the given matrix blocks are presented. The first method involves an additional...
Modified block-approximate factorization strategies.
Monga-Made Magolu (1992)
Numerische Mathematik
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