2009
DOI: 10.1080/09720502.2009.10700670
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On the Cholesky method

Abstract: In this paper, we prove that if the matrix of the linear system is symmetric, the Cholesky decomposition can be obtained from the Gauss elimination method without pivoting, without proving that the matrix of the system is positive definite.

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“…The stiffness matrices and load vectors of strip elements are used in assemblage of global stiffness matrix and load vector of the cylindrical panel, respectively. In the tenth step of the algorithm, the calculation of [ ] −1 for large number of degrees of freedom is very time-consuming and in the current analysis (Rakotonirina 2013). After that, the pre-buckling deformations [d 0 ] can be extracted.…”
Section: Methodsmentioning
confidence: 99%
“…The stiffness matrices and load vectors of strip elements are used in assemblage of global stiffness matrix and load vector of the cylindrical panel, respectively. In the tenth step of the algorithm, the calculation of [ ] −1 for large number of degrees of freedom is very time-consuming and in the current analysis (Rakotonirina 2013). After that, the pre-buckling deformations [d 0 ] can be extracted.…”
Section: Methodsmentioning
confidence: 99%