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Improving the Stability and Robustness of Incomplete Symmetric Indefinite Factorization Preconditioners
Sparse symmetric indefinite linear systems of equations arise in numerous practical applications. In many situations, an iterative method is the method of choice but a preconditioner is normally required for it to ...
Applied mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Algorithm for Elimination of Systems with Sparse Asymmetric Reducible Matrices.
In the paper, an algorithm for finding an optimal or almost optimal permutation for an ordering of elements of a matrix, which is sparse, asymmetric and reducible, is suggested. Using this algorithm we can solve large sparse sys...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The Linear Direct Sparse Solver on GPU for Bundle Adjustment Method
Implementation of a direct solver for the symmetric positive definite sparse matrix of general structure exploiting the parallelism on the graphic card (GPU). Implementation of a direct solver usining the Schur complement specially ...
JC - Počítačový hardware a software
- 2011 •
- R •
- Link
Rok uplatnění
R - Software
Výsledek na webu
On Signed Incomplete Cholesky Factorization Preconditioners for Saddle-Point Systems
Limited-memory incomplete Cholesky factorizations can provide robust preconditioners for sparse symmetric positive-definite linear systems. In this paper, the focus is on extending the approach to sparse <...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
PARALLEL APPROACH TO SOLVE OF THE DIRECT SOLUTION OF LARGE SPARSE SYSTEMS OF LINEAR EQUATIONS
The paper deals with parallel approach for the numerical solution of large, sparse, non-symmetric systems of linear equations, that can be part of any finite element software. In this contribution, the differences ...
Civil engineering
- 2017 •
- D
Rok uplatnění
D - Stať ve sborníku
Sparse direct solution of large finite element problems
This work is focused on methods and algorithms tailored to the direct solution of large sparse symmetric positive-definite linear systems arising from the application of the finite element method in solid continuum...
JJ - Ostatní materiály
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Balanced Incomplete Factorization
The paper deals with the new algorithm to precondition large, sparse, symmetric and positive definite linear systems. The strategy is based on computing both direct and inverse decomposition of the system ...
IN - Informatika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Positive Semidefinite Modification Schemes for Incomplete Cholesky Factorization
Incomplete Cholesky factorizations have long been important as preconditioners for use in solving large-scale symmetric positive-definite linear systems. In this paper, we focus on the relationship between two important pos...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Evaluation of Different Approaches to Solution of the Direct Solution of Large, Sparse Systems of Linear Equations
to solution of large, sparse, non-symmetric systems of linearequations on high performance purpose library for the directsolution of large, sparse, nonsymmetric systems based on direct or iterativealgorit...
JM - Inženýrské stavitelství
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Use of Biconjugate Gradients Method to Solve Complex Systems
The article analyses the biconjugate gradients method for solving large systems of linear algebraic equations with nonsingular sparse complex matrices. A special emphasis is laid on symmetric matrices arising from ...
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
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