A permeability simulation method using Cholesky decomposition

Singular Values using Cholesky Decomposition

In this paper two ways to compute singular values are presented which use Cholesky decomposition as their basic operation.

Sparse spectral clustering method based on the incomplete Cholesky decomposition

A new sparse spectral clustering method using linear algebra techniques is proposed. This method exploits the structure of the Laplacian to construct its approximation, not in terms of a low rank approximation but in terms of capturing the structure of the matrix. The approximation is based on the incomplete Cholesky decomposition with an adapted stopping criterion, it selects a sparse data set...

Differentiation of the Cholesky decomposition

We review strategies for differentiating matrix-based computations, and derive symbolic and algorithmic update rules for differentiating expressions containing the Cholesky decomposition. We recommend new ‘blocked’ algorithms, based on differentiating the Cholesky algorithm DPOTRF in the LAPACK library, which uses ‘Level 3’ matrix-matrix operations from BLAS, and so is cache-friendly and easy t...

A Domain Decomposition Method: A Simulation Study

Economy-wide energy efficiency using a comprehensive decomposition method

This study compares the energy intensity performance in Indonesia to other south-east Asia countries such as Vietnam, Thailand, Singapore, The Philippines and Malaysia for the period from 1971 to 2016. For this goal, this research employs a multiplicative Log Mean Divisia Index II method and Spatial-Temporal Index Decomposition Analysis. The manufacturing sector and commercial sector played a k...