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Computers and Fluids, ISSN 0045-7930, 12/2017, Volume 159, pp. 23 - 32
•An artificial turbulence generation method including scalar fluctuation was proposed.•This method is based on the Cholesky decomposition of turbulence flux... 
Cholesky decomposition | Time correlation | Space correlation | Artificial turbulence generation | Inflow boundary condition | Large-eddy simulation | THERMAL-BOUNDARY LAYERS | FLOW | DIRECT NUMERICAL-SIMULATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | WIND ENVIRONMENT | LES | COMPUTATION | BUILDINGS | Turbulence
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 04/2012, Volume 62, Issue 4, pp. 428 - 440
The present paper is dedicated to the application of the pivoted Cholesky decomposition to compute low-rank approximations of dense, positive semi-definite... 
Cholesky decomposition | Low-rank approximation | MATHEMATICS, APPLIED | BASIS-SETS | ELECTRON CORRELATION METHODS | Algorithms | Approximation | Mathematical analysis | Eigenvalues | Norms | Truncation errors | Decomposition | Mathematical models | Convergence
Journal Article
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 2018, pp. 1 - 7
Journal Article
Journal Article
Journal of Computational Chemistry, ISSN 0192-8651, 12/2017, Volume 38, Issue 32, pp. 2775 - 2783
A significant reduction in the computational effort for the evaluation of the electronic repulsion integrals (ERI) in ab initio quantum chemistry calculations... 
spin‐orbit coupling | full‐pivoting | decomposition | Cholesky | electron repulsion integrals | full-pivoting | spin-orbit coupling | DENSITY | GTF BASIS-SETS | APPROXIMATIONS | GAUSSIAN-TYPE BASIS | ATOMS | CHEMISTRY, MULTIDISCIPLINARY | Spin coupling | Algorithms
Journal Article
Journal of Computational Chemistry, ISSN 0192-8651, 09/2016, Volume 37, Issue 23, pp. 2157 - 2162
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 06/2017, Volume 681, pp. 199 - 216
We present normwise and componentwise perturbation bounds for the LU, the Cholesky, the LDLT and the QR decompositions by using a new approach. The explicit... 
Cholesky decomposition | Componentwise | Mixed | Condition numbers | [formula omitted] decomposition | QR decomposition | LU decomposition | LDL | decomposition | SPARSE GAUSSIAN-ELIMINATION | LU | RIGOROUS PERTURBATION BOUNDS | SYMBOLIC FACTORIZATION | CHOLESKY | SMOOTHED ANALYSIS | ERROR | COMPUTER SCIENCE, THEORY & METHODS | LDLT decomposition
Journal Article
IEEE Transactions on Parallel and Distributed Systems, ISSN 1045-9219, 05/2015, Volume 26, Issue 5, pp. 1323 - 1335
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 2, pp. A867 - A886
This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix... 
Background error covariance estimation | Ensemble Kalman filter | Modified Cholesky decomposition | Spurious correlations | LOCALIZATION | MATHEMATICS, APPLIED | background error covariance estimation | spurious correlations | DATA ASSIMILATION | MODEL | modified Cholesky decomposition | ensemble Kalman filter
Journal Article
by Li, FQ and Zhang, XS
ACTA MATHEMATICA SINICA-ENGLISH SERIES, ISSN 1439-8516, 05/2019, Volume 35, Issue 5, pp. 619 - 631
In this paper, we consider the estimation of a high dimensional precision matrix of Gaussian graphical model. Based on the re-parameterized likelihood, we... 
Cholesky decomposition | MATHEMATICS | MATHEMATICS, APPLIED | Bayesian estimation | graphical model | SELECTION | shrinkage | 62H12 | 62F15 | Call centers | Call center software | Business schools | Analysis | Economic models | Parameters | Computer simulation | Mathematical analysis | Normal distribution | Telephone calls | Shrinkage | Bayesian analysis
Journal Article
The Structural Design of Tall and Special Buildings, ISSN 1541-7794, 08/2018, Volume 27, Issue 11, pp. e1480 - n/a
Journal Article
Multiscale Modeling and Simulation, ISSN 1540-3459, 2017, Volume 15, Issue 1, pp. 410 - 444
Journal Article
Parallel Computing, ISSN 0167-8191, 08/2012, Volume 38, Issue 8, pp. 421 - 437
► We develop optimized Cholesky decomposition implementations for compressed sensing. ► Application of Cholesky to compressed sensing enables data reuse that... 
Cholesky decomposition | Application acceleration | FPGA | GPGPU | Compressed sensing | COMPUTER SCIENCE, THEORY & METHODS | Digital integrated circuits
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2013, Volume 223, pp. 354 - 361
In this paper, we discuss the Cholesky decomposition of the Hermitian positive definite quaternion matrix. For the first time, the structure-preserving Gauss... 
Cholesky decomposition | Structure-preserving algorithm | Quaternion matrix | MATHEMATICS, APPLIED | SINGULAR-VALUE DECOMPOSITION | LEAST-SQUARES PROBLEM | Algorithms | Quaternions | Tools | Transformations | Decomposition | Representations | Arithmetic | Matlab
Journal Article
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