• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>American Journal of Computational and Applied Mathematics >Singular Value Decomposition and the Centrality of L?wdin Orthogonalizations
【24h】

Singular Value Decomposition and the Centrality of L?wdin Orthogonalizations

机译：奇异值分解和L？wdin正交化的中心性

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The different orthogonal relationship that exists in the L?wdin orthogonalizations is presented. Other orthogonalization techniques such as polar decomposition (PD), principal component analysis (PCA) and reduced singular value decomposition (SVD) can be derived from L?wdin methods. It is analytically shown that the polar decomposition is presented in the symmetric orthogonalization; principal component analysis and singular value decomposition are in the canonical orthogonalization. The canonical orthogonalization can be brought into the form of reduced SVD or vice-versa. The analytic relation between symmetric and canonical orthogonalization methods is established. The inter-relationship between symmetric orthogonalization and singular value decomposition is presented.
机译：提出了存在于Lwwdin正交化中的不同正交关系。其他正交化技术，例如极性分解（PD），主成分分析（PCA）和降阶奇异值分解（SVD）也可以从Lwwdin方法获得。分析表明，在对称正交化中存在极性分解。主成分分析和奇异值分解位于规范正交中。规范正交化可以简化为SVD形式，反之亦然。建立了对称和规范正交化方法之间的解析关系。提出了对称正交化与奇异值分解之间的相互关系。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号