| 矩阵原位替换解算方法 |
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| 引用本文： | 黑志坚,张洪田,周秋生.矩阵原位替换解算方法[J].测绘科学,2009,34(4). |
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| 作者姓名： | 黑志坚 张洪田 周秋生 |
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| 作者单位： | 黑龙江工程学院测绘工程系,哈尔滨,150050 |
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| 基金项目： | 黑龙江省自然科学基金项目(A200505);;黑龙江空间地理信息省级重点实验室项目(zk200606) |
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| 摘 要： | 研究矩阵原位替换解算方法,包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。利用矩阵三角分解原理和矩阵运算的基本法则导出矩阵元素约化值的计算公式,从而进一步导出利用矩阵元素约化值计算矩阵行列式、矩阵方程未知数和矩阵逆阵元素的原位替换解算公式。解算公式用纯量形式表出,有利于编程计算,且可实现按矩阵元素在矩阵中的存储位置原位替换解算。该解算方法可节省计算用内存空间和时间,提高科学计算的效率。
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| 关 键 词： | 矩阵 原位替换 快速解算 |
Calculation methods of matrix in-situ replacement |
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| HEI Zhi-jian,ZHANG Hong-tian,ZHOU Qiu-sheng.Calculation methods of matrix in-situ replacement[J].Science of Surveying and Mapping,2009,34(4). |
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| Authors: | HEI Zhi-jian ZHANG Hong-tian ZHOU Qiu-sheng |
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| Institution: | Dept.of Surveying and Mapping;Heilongjiang Institute of Technology;Harbin 150008;China |
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| Abstract: | The calculation methods of matrix in-situ replacement are researched,including the matrix determinant,the matrix equation unknown and the matrix inversion computation.Making use of the principle of matrix triangular decomposition and matrix operations fundamental to derive the calculation formula for matrix elements of simplification value,it further derives using of matrix elements of simplification value to compute the in-situ replacement solution formula of calculation of matrix determinant,matrix equati... |
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| Keywords: | matrix in-situ replacement fast calculation |
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