| 线性插值法解块状上Hessenberg线性代数方程组 |
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| 引用本文： | 魏艳红.线性插值法解块状上Hessenberg线性代数方程组[J].科学技术与工程,2010,10(35). |
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| 作者姓名： | 魏艳红 |
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| 作者单位： | 渭南师范学院数学与信息科学系,渭南,714000 |
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| 基金项目： | 渭南师院科研计划项目(09YKF007、10YKS001),基础数学重点学科资助 |
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| 摘 要： | 针对特殊结构的块状上Hessenberg大型线性代数方程组建立了一种线性插值求解方法，该方法所需要的乘除法运算量随子方程的个数呈平方增长，而通常的Gauss消去法所需的乘除法运算量随子方程的个数呈立方增长。
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| 关 键 词： | 线性代数方程组 块状上Hessenberg矩阵，线性插值方法 |
| 收稿时间： | 2010/10/13 0:00:00 |
| 修稿时间： | 2010/10/13 0:00:00 |
Linear interpolation method of solving blocked upper Hessenberg Linear Algebraic Equations |
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| weiyanhong.Linear interpolation method of solving blocked upper Hessenberg Linear Algebraic Equations[J].Science Technology and Engineering,2010,10(35). |
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| Authors: | weiyanhong |
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| Institution: | WEI Yan-hong(College of Mathematics and Communication Science,Weinan Normal Institute,Weinan 714000,P.R.China) |
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| Abstract: | To aim at special large-scale block linear algebraic equations of the upper Hessenberg matrix ,a linear interpolation method is designed.The operational quantity is compared with direct method(Gauss expunction method).We get a conclusion that under the Hessenberg matrix,operational quantity of the method increases by square when the sub-equations increase. |
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| Keywords: | linear algebraic equations blocked upper Hessenberg matrix Linear interpolation method |
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