The Centroid Decomposition and Other Approximations to the SVD
SVD 的质心分解和其他近似
基本信息
- 批准号:0204157
- 负责人:
- 金额:$ 51万
- 依托单位:
- 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:
- 关键词:
项目摘要
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0204157 Funderlic,Robert E.北卡罗来纳州本节总结了在NSF赠款DMS-9804759的支持下,共同主要研究者所取得的进展(07/01/98 06/30/00),用于自适应光学应用的自适应控制算法和DMS-0073056项目(08/01/00 7/31/03)对于前者的矩阵构造逆问题的算法项目,目标是设计,分析,和评估自适应控制算法foradaptive光学应用。PI为自适应光学中的线性构造器问题建立了一个数学框架,并在对延迟-延迟控制算法的理解方面取得了进展。本论文的目的是研究从规定的光谱数据中构造以矩阵形式描述的物理模型的理论和实践。本论文收集、艾德和定义了本征值反问题的整体概念,并发展了一些新的数值方法来处理一些逆特征值问题。到目前为止,在NSF的支持下,这些目标的一个重要部分已经完成,如下所示。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
数据更新时间:{{ journalArticles.updateTime }}
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
数据更新时间:{{ journalArticles.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ monograph.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ sciAawards.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ conferencePapers.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ patent.updateTime }}
Moody Chu其他文献
On the Refinement of Cartan Decomposition: An Implicit Commutative Substructure in $$\mathfrak {su}(2^{n})$$
- DOI:
10.1007/s00025-025-02478-3 - 发表时间:
2025-07-19 - 期刊:
- 影响因子:1.200
- 作者:
Moody Chu - 通讯作者:
Moody Chu
Moody Chu的其他文献
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
{{ truncateString('Moody Chu', 18)}}的其他基金
Preparing Hamiltonians for Quantum Simulation: A Computational Framework for Cartan Decomposition via Lax Dynamics
为量子模拟准备哈密顿量:通过 Lax 动力学进行嘉当分解的计算框架
- 批准号:
2309376 - 财政年份:2023
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
From Quantum Entanglement to Tensor Decomposition by Global Optimization
从量子纠缠到全局优化的张量分解
- 批准号:
1912816 - 财政年份:2019
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Numerical Algorithms as Dynamcal Systems - Structure Preservation, Convergence Theory, and Rediscretization
作为动态系统的数值算法 - 结构保持、收敛理论和重新离散化
- 批准号:
1316779 - 财政年份:2013
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Automated Structure Generation, Error Correction, and Semi-Definite Programming Techniques for Structured Quadratic Inverse Eigenvale Problems: Theory, Algorithms and Applications
结构化二次反特征值问题的自动结构生成、纠错和半定编程技术:理论、算法和应用
- 批准号:
1014666 - 财政年份:2010
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
MSPA-MCS: Collaborative Research: Fast Nonnegative Matrix Factorizations: Theory, Algorithms, and Applications
MSPA-MCS:协作研究:快速非负矩阵分解:理论、算法和应用
- 批准号:
0732299 - 财政年份:2007
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Collaborative Proposal: Quadratic Inverse Eigenvalue Problems for Model Updating in Science and Engineering: Theory and Computation
合作提案:科学与工程模型更新的二次逆特征值问题:理论与计算
- 批准号:
0505880 - 财政年份:2005
- 资助金额:
$ 51万 - 项目类别:
Continuing Grant
Algorithms for the Inverse Problem of Matrix Construction
矩阵构造反问题的算法
- 批准号:
0073056 - 财政年份:2000
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Adaptive Control Algorithms for Adaptive Optics Applications
用于自适应光学应用的自适应控制算法
- 批准号:
9803759 - 财政年份:1998
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Mathematical Sciences: Inverse Eigenvalue Problems
数学科学:反特征值问题
- 批准号:
9422280 - 财政年份:1995
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Mathematical Sciences: Matrix Differential Equations and Their Applications
数学科学:矩阵微分方程及其应用
- 批准号:
9123448 - 财政年份:1992
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
相似海外基金
Collaborative Research: MRA: Resolving and scaling litter decomposition controls from leaf to landscape in North American drylands
合作研究:MRA:解决和扩展北美旱地从树叶到景观的垃圾分解控制
- 批准号:
2307195 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Continuing Grant
Adaptive Tensor Network Decomposition for Multidimensional Machine Learning Theory and Applications
多维机器学习理论与应用的自适应张量网络分解
- 批准号:
24K20849 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Grant-in-Aid for Early-Career Scientists
Collaborative Research: MRA: Resolving and scaling litter decomposition controls from leaf to landscape in North American drylands
合作研究:MRA:解决和扩展北美旱地从树叶到景观的垃圾分解控制
- 批准号:
2307197 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Continuing Grant
Fractional decomposition of graphs and the Nash-Williams conjecture
图的分数式分解和纳什-威廉姆斯猜想
- 批准号:
DP240101048 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Discovery Projects
Gender Gap in Sub-Sahara African Agriculture: A Decomposition Approach for Prioritizing Interventions
撒哈拉以南非洲农业中的性别差距:优先干预措施的分解方法
- 批准号:
24K17971 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Grant-in-Aid for Early-Career Scientists
Collaborative Research: MRA: Resolving and scaling litter decomposition controls from leaf to landscape in North American drylands
合作研究:MRA:解决和扩展北美旱地从树叶到景观的垃圾分解控制
- 批准号:
2307196 - 财政年份:2024
- 资助金额:
$ 51万 - 项目类别:
Continuing Grant
Reactive Force Field Design Guided by Energy Decomposition Analysis
能量分解分析引导的反作用力场设计
- 批准号:
2313791 - 财政年份:2023
- 资助金额:
$ 51万 - 项目类别:
Continuing Grant
Model-Based and Design-Based Approaches to Longitudinal Causal Decomposition Analysis
基于模型和设计的纵向因果分解分析方法
- 批准号:
2243119 - 财政年份:2023
- 资助金额:
$ 51万 - 项目类别:
Standard Grant
Development of an electrically heated wire catalyst for highly efficient decomposition of ethylene with the aim of keeping the freshness of agricultural products
开发高效分解乙烯的电加热丝催化剂,以保持农产品的新鲜度
- 批准号:
23K05465 - 财政年份:2023
- 资助金额:
$ 51万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Photo-thermal ammonia decomposition
光热氨分解
- 批准号:
DE230100789 - 财政年份:2023
- 资助金额:
$ 51万 - 项目类别:
Discovery Early Career Researcher Award