摘要
基于矩阵体积的概念,引入矩阵向量正交度,对病态问题的行列式诊断方法进行了推广和扩展。研究发现,矩阵向量正交度应用于病态问题诊断,克服了行列式法的诸多缺点。
Based on the conception of the matrix volume, we presented the definition of the orthogonal degree of the matrices, generalized and extended the determinant method mentioned above. As the orthogonal degree of the matrices was applied to the ill-conditioning problems diagnostics, it is applicable to any matrices, and overcomes the drawbacks of the determinant method.
出处
《武汉大学学报（信息科学版）》
EI
CSCD
北大核心
2009年第2期244-247,共4页
Geomatics and Information Science of Wuhan University
基金
地理空间信息工程国家测绘局重点实验室开放研究基金资助项目(B2531
200604)
关键词
病态问题
诊断
行列式
矩阵体积
正交度
ill-conditioning
diagnostics
determinant
matrix volume
orthogonal degree
