摘要
研究正定矩阵行列式、正定矩阵方程未知数和正定矩阵逆阵的高效率解算模型,建立各解算模型之间的联系。模型研究从计算所需的存储量、运算量和是否方便编程等几个方面考虑,探讨按矩阵元素存储位置原位替换快速解算的矩阵解算模式,导出用纯量形式表达,可直接用于编程计算的正定矩阵解算模型,节省计算所需的时间和空间,提高科学计算的效率。
The positive definite matrix determinant, positive definite matrix equations and positivd definite matrix inversion of high efficient computing model are researched, and the link between the models is established. Model research is made in the calculation of required storage capacity, the amount of computation and the convenient programming, etc. , the fast calculation mode of in-situ replacement of according to the matrix elements storage location are discussed and the positive definite matrix caiculation model which is expressed in pure quantity and can be directly used in the calculation of programming is deduced. The calculation time and space can be saved, and the efficiency of scientific computation is improved.
出处
《黑龙江工程学院学报》
CAS
2008年第3期25-28,共4页
Journal of Heilongjiang Institute of Technology
基金
黑龙江省自然科学基金资助项目(A200505)
黑龙江空间地理信息省级重点实验室项目(ZK200606)
关键词
正定矩阵
原位替换
快速解算
positive definite matrix
in-situ replacement
fast calculation
