ブロック三角化法による対称構造系の剛性行列の並列高速LU分解と誤差評価

概要

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Recently, the block-diagonalization method has been proposed for analysis of symmetric structures. This paper shows that, based on this method, LU decomposition of simultaneous equations is convered in block-triangular matrices. It is possible to decompose fast block-LU matrices using transformation coordinates for symmetric structures. This method transforms the ruled matrix of symmetric systems to make block-triangular matrices, and it decomposes at high speed. As the results, this computing method has the advantages of the improvement to speed up LU decomposition, the calculation efficiency, and the numerical errors by means of computing conditional number. This method obtains more accurate solutions and reduces numerical errors for symmetric structures.
一般社団法人日本建築学会の論文
2000-03-20