Linear Algebra and Applications Graduate Summer School

摘要主要研究者：Hogben， Leslie提案编号：DMS - 0753009机构：爱荷华州立大学标题：线性代数与应用研究生暑期学校：额外资助线性代数在数学和各种其他学科中都是至关重要的学科。几乎所有数学家、统计学家、物理学家、生物学家、计算机科学家、工程师和社会科学家都在使用它。正如第一学期微分学的基本思想（通过切线逼近函数的图形）提供了关于函数的信息，线性化的过程通常允许用更容易处理的线性问题来逼近困难的问题。这可以提供对原始问题的深入了解，并且，由于越来越强大的计算机，可以提供原始问题的近似解决方案。线性代数的基本性质及其许多应用使它成为研究生暑期课程的理想主题。2008年数学及其应用研究所（IMA）参与机构暑期研究生课程“线性代数及其应用”将于2008年6月29日至7月26日在爱荷华州立大学举行。IMA将支付主要演讲者的所有费用，以及来自40个IMA参与机构中每个机构最多两名学生参加暑期研究生课程的所有费用。该项目将为来自非ima美国机构的另外12名研究生提供支持，并为一名作为研究生导师的博士后助理提供工资。申请将通过线性代数与应用研究生暑期学校网站http://www.ima.umn.edu/2007-2008/PISG6.30-7.25.08/The接受。项目组织者是Leslie Hogben， Wolfgang Kliemann和姚东Poon。主要演讲者和他们的主题是：Bryan Shader，怀俄明大学，线性代数和组合学的应用。David S. Watkins，华盛顿州立大学，数值线性代数。李志光，威廉玛丽学院，科学与工程中的矩阵不等式与方程。Fritz Colonius，德国奥格斯堡大学，线性代数在动力系统中的应用。讲座将在上午进行，学生将在下午分组工作，由博士后助理Jason Grout监督。每周，学生将学习必要的背景知识，以解决在一周结束时提出的当前研究问题。线性代数与应用研究生暑期学校将帮助培养未来的美国数学科学家。美国国家科学基金会的这笔资金将扩大暑期学校的参与度，从而扩大其影响，并允许更多元化的学生群体参与，因为组织者现在将广泛地向IMA参与机构以外的代表性不足的学生群体宣传暑期学校。

ABSTRACTPrincipal Investigator: Hogben, Leslie Proposal Number: DMS - 0753009 Institution: Iowa State University Title: Linear Algebra and Applications Graduate Summer School: Additional FundingLinear algebra is a subject of central importance in both mathematics and a variety of other disciplines. It is used by virtually all mathematicians and by statisticians, physicists, biologists, computer scientists, engineers, and social scientists. Just as the basic idea of first semester differential calculus (approximating the graph of a function by its tangent line) provides information about the function, the process of linearization often allows difficult problems to be approximated by more manageable linear ones. This can provide insight into, and, thanks to ever-more-powerful computers, approximate solutions of the original problem. The fundamental nature of linear algebra and its many applications make this an ideal theme for a summer program for graduate students.The 2008 Institute for Mathematics and its Applications (IMA) Participating Institutions Summer Graduate Program on ``Linear Algebra and Applications'' will be held Iowa State University June 29 - July 26, 2008. The IMA will pay all costs for the principal speakers and all expenses for up to two students from each of the 40 IMA participating institutions to this Summer Graduate Program. This project will provide support for an 12 additional graduate students from non-IMA US institutions, and salary for a post-doctoral associate who will serve as a mentor to the graduate students. Applications will be taken through the Linear Algebra and Applications Graduate Summer School website http://www.ima.umn.edu/2007-2008/PISG6.30-7.25.08/The program organizers are Leslie Hogben, Wolfgang Kliemann and Yiu-Tung Poon. The the principal speakers and their topics are:Bryan Shader, University of Wyoming, Linear algebra and applications to combinatorics.David S. Watkins, Washington State University, Numerical Linear Algebra.Chi-Kwong Li, College of William and Mary, Matrix inequalities and equations in science and engineering.Fritz Colonius, University of Augsburg, Germany, Applications of linear algebra to dynamical systems.Lectures will be presented in the mornings and students will work in groups in the afternoons, supervised by post-doctoral associate Jason Grout. Each week the students will learn the necessary background to attack current research problems presented at the end of the week.The Linear Algebra and Applications Graduate Summer School will help to educate future US mathematical scientists. This NSF funding will broaden participation in the summer school and will hence magnify its impact and allow a more diversified group of students to participate, since the organizers will now advertise the summer school broadly also to underrepresented groups of students outside of the IMA participating institutions.