The Centroid Decomposition and Other Approximations to the SVD

SVD 的质心分解和其他近似

• 批准号: 0204157
• 负责人: Moody Chu
• 金额: $ 51万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-07-01 至 2007-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0204157&HistoricalAwards=false
• 关键词: Centroid; Decomposition; Other; Approximations; SVD

ABSTRACT 0204157Funderlic, Robert E.North Carolina State UThis section summarizes the progress the co-PI has made under the support of NSF grants DMS-9804759(07/01/98 06/30/00)for the project Adaptive Control Algorithm for Adaptive Optics Applications andDMS-0073056 (08/01/00 7/31/03)for the project Algorithms for the Inverse Problem of Matrix Con-struction of the former,the objectives are to design,analyze,and evaluate adaptive control algorithms foradaptive optics applications.The co-PI has established a mathematical framework for the linear econstructorproblem in adaptive optics,and has made progress in the understanding of a latency-delay control algorithm.Fo the latter,the proposed objectives were to investigate both the theory and the practice of constructing aphysical model,described mathematically in the form of a matrix,from prescribed spectral data.The co-PIhas collected,classi .ed,and de .ned the egimen of inverse eigenvalue problems as a whole,and has developednew numerical methods for tackling some inverse eigenvalue problems.Thus far,a signi .cant portion of theseobjectives has been accomplished under the NSF support as is evidenced below.

摘要0204157FUNDER，Robert E.North Carolina State Uthis uthis部分总结了Co-Pi在NSF授予DMS-9804759（07/01/98 06/30/00）的支持下取得的进展对于前者矩阵结构构建的逆问题算法，目的是设计，分析和评估适应性控制算法的伪造算法。从规定的光谱数据中以矩阵的形式描述了数学上描述的理论和实践。从规定的光谱数据中进行的。收集的，分类，分类并删除了整个特征性问题的egimen，并且已经开发出了一些逆向eigenv eigenv eargions的数值方法，以解决这些问题。在NSF支持下，如下所示。