| STABLE DOUBLE LR ALGORITHM AND ITS ERROR ANALYSIS |
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| 作者姓名： | CHENDAOQI |
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| 作者单位： | Math.Dept.CenterofMahtematicsSciencesZheJiangUniv.,Hangzhou,310027 |
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| 摘 要： | In this paper, the normative matrices and their double LR transformation with origin shifts are defined, and the essential relationship between the double LR transformation of a normative matrix and the QR transformation of the related symmetric tridiagonal matrix is proved. We obtain a stable double LR algorithm for double LR transformation of normative matrices and give the error analysis of our algorithm. The operation number of the stable double LR algorithm for normative matrices is only four sevenths of the rational QR algorithm for reed symmetric tridiagonal matrices.
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| 关 键 词： | 稳定双步LR算法 误差分析 标准矩阵 稳定性AMS分类 |
| 收稿时间： | 19 March 1992 |
Stable doubleLR algorithm and its error analysis |
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| CHENDAOQI.STABLE DOUBLE LR ALGORITHM AND ITS ERROR ANALYSIS[J].Applied Mathematics A Journal of Chinese Universities,1994,9(1):35-43. |
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| Authors: | Chen Daoqi |
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| Institution: | (1) Math. Dept. & Center of Mahtematics Sciences Zhejiang Univ., 310027 Hangzhou |
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| Abstract: | In this paper,the normative matrices and their double LR transformationwith origin shifts are defined,and the essential relationship between the double LR transformation of a normative matrix and the QR transformation of the related symmetrictridiagonal matrix is proved.We obtain a stable double LR algorithm for double LRtransformation of normative matrices and give the error analysis of our algorithm.Theoperation number of the stable double LR algorithm for normative matrices is only foursevenths of the rational QR algorithm for real symmetric tridiagonal matrices. |
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| Keywords: | normative matrix double LR transformation stability |
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