课题基金 / 基金详情

Analysis and Improvement of Linear and Nonlinear Eigenvalue Algorithms Based on Geometric Approaches

Analysis and Improvement of Linear and Nonlinear Eigenvalue Algorithms Based on Geometric Approaches
基于几何方法的线性和非线性特征值算法的分析与改进
批准号：
9971591
负责人：
Alan Edelman
金额：
$15.0万
依托单位：
Massachusetts Institute of Technology
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1999
资助国家：
美国
项目状态：
已结题
起止时间：
1999-07-15 至 2003-06-30
来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9971591&HistoricalAwards=false
关键词：
AnalysisImprovementLinearNonlinearEigenvalue

项目摘要

项目成果

Alan Edelman的其他基金

相似基金

相关文献

中文摘要
翻译
点击翻译按钮获取中文摘要
英文摘要
ABSTRACT The principal investigator proposes to continue his work with students on computationalmathematics from mathematical conception to useful numerical software.The objectives are the furtherapplication of modern geometrical methods towards the development and understanding of accuracy and failures of algorithms related toeigenvalue routines and in numerical optimization in the presenceof orthogonality constraints. The kinds of numerical software that we investigatemathematically are widely used in many scientificand engineering fields. These algorithms oftenwork very well, but are also known to fail onoccasion; new sophisticated analyses are proposedto fix these problems. On the education side,these algorithms will be used in classroom settings.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
eMB: Collaborative Research: Discovery and calibration of stochastic chemical reaction network models
Collaborative Research: Frameworks: Convergence of Bayesian inverse methods and scientific machine learning in Earth system models through universal differentiable programming
Framework: Software: Next-Generation Cyberinfrastructure for Large-Scale Computer-Based Scientific Analysis and Discovery
Applied Free Probability Theory
海外基金