| 双曲Cholesky分解中的快速双曲旋转变换 |
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| 引用本文： | 王彦博. 双曲Cholesky分解中的快速双曲旋转变换[J]. 复旦学报(自然科学版), 1996, 35(4): 414-420 |
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| 作者姓名： | 王彦博 |
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| 作者单位： | 复旦大学数学研究所 |
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| 摘 要： | 对于一般的Ｇｉｖｅｎｓ旋转，为了减少运算量，曾经提出了快速Ｇｉｖｅｎｓ旋转，减少了大约一半的运算量，并且避免了显式开方运算。本文论证了在并行算法的Ｃｈｏｌｅｓｋｙ分解中，快速双曲旋转的可行性，并讨论了工作量和稳定性。
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| 关 键 词： | 双曲变换 Cholesky分解 双曲旋转变换 线性方程 |
The fast hyperbolic transformation in hyperbolic Cholesky factorization |
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| Wang Yanbo. The fast hyperbolic transformation in hyperbolic Cholesky factorization[J]. Journal of Fudan University(Natural Science), 1996, 35(4): 414-420 |
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| Authors: | Wang Yanbo |
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| Affiliation: | Institute of Mathematics |
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| Abstract: | In this paper,it is proved that the fast hyperbolic transformation in hyprtbolic Cholesky factorization is feasible. It involves half the number of multiplies as an ordinary hyperbolic transformation. Also,the zeroing is carried out without an explicit suare root. The element growth in M and D is controlled. |
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| Keywords: | hyperbolic transformation Cholesky factorization hyperbolic orthogonal matrix fast hyperbolic transformation SPD matrix |
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