Early-Career and Student Support for the XX Householder Symposium

该项目将支持来自美国大学的早期职业科学家和博士生参加“Householder Symposium XX on Numerical Linear Algebra”，该研讨会将于2017年6月18日至23日在弗吉尼亚理工大学的Blacksburg举行，网址为http://www.math.vt.edu/HHXX/。房主座谈会是数值线性代数领域的首要会议，参加这次座谈会仅限申请和邀请。研讨会非常重视支持早期职业科学家，以及这些科学家与该领域领先专家的混合。年轻研究人员的支持将加强美国在这一关键学科及其应用于极大造福社会的技术方面的持续领导地位。数值线性代数的进步和应用是处理大型数据集的基础，这些数据集的应用涉及网络搜索、医学成像、科学模拟、所有高性能计算应用以及材料和结构的设计。Google的PageRank算法巧妙地结合了两个数值线性代数领域的方法，即Perron-Frobenius理论/马尔可夫链和特征值求解器。类似地，从今天的巨大数据集中获取关键信息，无论是来自商业、政府还是新的医学成像设备中的传感器，都要依赖于对核心数值线性代数方法奇异值分解的实质性创新。最后，为了确保在下一代超级计算机上进行有效的模拟，以评估国家核武器的持续安全性，需要对线性求解器（另一种普遍存在的数值线性代数方法）进行大幅修改。参加房主研讨会，其中包括热门的新研究课题和新兴领域的讨论将使年轻的研究人员接触到具有重大社会意义的问题。

This project will support the participation of early career scientists and PhD students from US universities in the "Householder Symposium XX on Numerical Linear Algebra," to be held at The Inn at Virginia Tech, June 18-23, 2017, in Blacksburg, Virginia, http://www.math.vt.edu/HHXX/. The Householder symposium is the premier meeting in the field of numerical linear algebra and participation in this symposium is by application and invitation only. The symposium places a strong emphasis on supporting early-career scientists and the intermingling of such scientists with the leading experts in the field. The support of young researchers will enhance the continued leadership of the US in this crucial discipline and its application to technologies that greatly benefit society. Advances and applications of numerical linear algebra are fundamental for handling large data sets with applications crossing web searches, medical imaging, scientific simulations, all high performance computing applications, and the design of both materials and structures.Google's PageRank algorithm is a smart combination of methods from two numerical linear algebra fields, Perron-Frobenius theory/Markov chains and eigenvalue solvers. Similarly, deriving crucial information from today's giant data sets, which dwarf anything encountered before, whether from business, government, or the sensors in new medical imaging equipment, relies on substantial innovations to a core numerical linear algebra method, the singular value decomposition. Finally, ensuring efficient simulations on the next generation of supercomputers to assess the continued safety of the nation's nuclear weapons requires drastic changes to linear solvers, another ubiquitous numerical linear algebra method. Participation in the Householder Symposium, which includes discussions of hot new research topics and emerging areas will allow young researchers to be exposed to problems of significant societal importance.