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Construction and solution of large systems of linear equations by the finite element method with the use of a compact scheme of storage in columns. (Russian) Zbl 0592.65017
A description of an algorithm for solving a symmetric system of linear algebraic equations arising from finite element approximations is presented. The method is based on the $$LDL^ T$$ decomposition of the matrix which is stored in a compact form (including only the elements under the sky-line) out of core. The main point is that the decomposition is carried out block-wise, which minimizes the storage access. The presented programs are interesting but not self-contained.
Reviewer: R.D.Lazarov
##### MSC:
 65F05 Direct numerical methods for linear systems and matrix inversion 15-04 Software, source code, etc. for problems pertaining to linear algebra 15A23 Factorization of matrices
##### Keywords:
matrix factorization; symmetric system; finite element
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