.png){kind=icon}
返回
On using exact joint diagonalization for noniterative approximate joint diagonalization
.png){kind=icon}
PRE
AI
DOI：10.1109/LSP.2005.853046.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We propose a novel, noniterative approach for the problem of nonunitary, least-squares (LS) approximate joint diagonalization (AJD) of several Hermitian target matrices. Dwelling on the fact that exact joint diagonalization (EJD) of two Hermitian matrices can almost always be easily obtained in closed form, we show how two representative matrices can be constructed out of the original set of all target matrices, such that their EJD would be useful in the AJD of the original set. Indeed, for the two-by-two case, we show that the EJD of the representative matrices yields the optimal AJD solution. For larger-scale cases, the EJD can provide a suboptimal AJD solution, possibly serving as a good initial guess for a subsequent iterative algorithm. Additionally, we provide an informative lower bound on the attainable LS fit, which is useful in gauging the distance of prospective solutions from optimality.
Keyword:
blind source separation
independent components analysis
nonunitary approximate joint diagonalization
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
9.6
论文数:
1.1W
被引数:
1.7W
机构
暂无机构信息
引用论文
Expression of Tankyrase 1 in Gastric Cancer and Its Correlation with Telomerase ActivityTankyrase 1在胃癌中的表达及其与端粒酶活性的相关性
PREAI
分享收藏Blind source separation via the second characteristic function基于第二特征函数的盲源分离.png)
SIGNAL PROCESSING
SIGNAL PROCESSINGIF3.6
PREAI
分享收藏Calcium Fluxes across the Plasma Membrane of Commelina communis L. Assayed in a Cell-Free SystemCommelina communis L.质膜钙离子流在细胞自由系统中的测定
OAAI
OAAI分享收藏
查看更多内容