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0204157FUNDERLIC，Robert E.North Carolina State Uthis uthis部分总结了Co-Pi在NSF Grants DMS-9804759（07/01/98 06/30/00）的支持下取得的进展应用程序算法的应用程序andDMS-0073056（08/01/00 7/31/03）对于前者的矩阵结构构建逆问题，这些目标是设计，分析和评估适应性控制算法Foradaptive Optics应用程序。 Co-Pi已建立了自适应光学线性econstructorproblembromblembromblembromblembromblem的数学框架，并在理解后者的潜伏期 - 延迟控制算法上取得了进步，而拟议的目标是研究理论和构建实践的实践从规定的频谱数据中以矩阵的形式描述了数学描述的形成性模型。收集的，classi .ed和de的co-pihas整体上的逆特征值问题的egimen，并开发了一些逆数值方法来解决一些逆数值方法特征值问题。因此，在NSF支持下已经完成了这些目标的重要部分，如下所示。