电子学报2012，Vol.40Issue(8)：1539-1543,5.DOI:10.3969/j.issn.0372-2112.2012.08.007
泛延拓矩阵的奇异值分解
Singular Value Factorization for Universal Extended Matrix
摘要
Abstract
Based on the ordinary singular value factorization, a quantitative correspondence of the singular value and singular vectors between the universal extended matrix and its mother matrix is derived, and the perturbation analysis and image analysis for the universal extended matrix is provided accordingly. In addition, the formula of the singular value factorization and generalized inverse of universal extended matrix are given, which makes calculation easier and accurate. The results of Zbu's SVD for extended Matrix are generalized.关键词
泛延拓矩阵/母矩阵/奇异值分解/扰动分析/图像分析/信号处理/时频分布/广义逆Key words
universal extended matrix/ mother matrix/ singular value factorization/ perturbation analysis/ image analysis/ signal processing/time-frequency distribution/generalized inverse分类
信息技术与安全科学引用本文复制引用
袁晖坪..泛延拓矩阵的奇异值分解[J].电子学报,2012,40(8):1539-1543,5.基金项目
国家自然科学基金(No.11001287) （No.11001287）
重庆市自然科学基金(No.CSTS 2005 BB 0243) （No.CSTS 2005 BB 0243）
电子商务及供应链系统重庆市重点实验室专项基金(No.2012ECSC0216) （No.2012ECSC0216）
