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Semi-sparse Cholesky Factorization
The Cholesky factorization (shortly CHF) is one of basic methods to solve. The process of Cholesky factorization of the originally sparse matrix A leads number of fills, special process called symbolic factoriz...
IN - Informatika
- 2005 •
- A
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A - Audiovizuální tvorba
Algebraic description of the finite Stieltjes moment problem
authors. Since the description uses matrices of moments, it is not intendedThe Stieltjes problem of moments seeks for a nondecreasing positive distribution function mu(lambda) on the semi-axis [0, +infinity) so that its
Applied mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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 positive sem...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Cholesky-like Factorization of Symmetric Indefinite Matrices and Orthogonalization with Respect to Bilinear Forms
indefinite matrix $A$ can be eventually seen as its factorization $B=QR$ that is equivalent to theCholesky-like factorization in the form $B^TAB=R^T Omega R$, where $R of the triangular factor $R$ in terms of extremal sing...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Cholesky decomposition of a positive semidefinite matrix with known kernel
The Cholesky decomposition of a symmetric positive semidefinite matrix A is a useful tool for solving the related consistent system of linear equations and sparse. To use the Cholesky decomposition effectively, it is necessary to id...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 symmetric indefinite systems...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices.
We describe a novel technique for computing a sparse incomplete factorization of a general symmetric positive definite matrix A. The factorization is not based on the Cholesky algorithm 9or Gaussian elimination0, but on A-o...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure
The direct methods for the solution of systems of linear equations with a symmetric positive semidefinite matrix A usually comprise the Cholesky decomposition, paying special attention to the stiffness matrices of floating structure...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Node Renumbering Strategies for Efficient Direct Methods in Selected Problems of Soil Mechanics
on the PETSc Cholesky solver performance. The sparse matrices chosen for numerical testing and the best QMD reordering was able to reduce the factorization time by factor up to 1000, the solve by factor u...
Applied mathematics
- 2023 •
- D •
- Link
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D - Stať ve sborníku
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Analysis of fixing nodes used in generalized inverse computation
in the solution of contact problems. Systems with semidefinite matrices can be solved by standarddirect methods for the solution of systems with positive definite matrices adapted is a modification of Cholesky decompositio...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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