The Role of Linear Algebra in the Computer （线性代数在计算机的作用）.pdf

The Role of Linear Algebra in the Computer Science Curriculum submitted to 2013 ACM/IEEE-CS Computer Science Curricula Joint Task Force Dr. Jeremy Kepner (MIT Lincoln Lab, CSAIL Mathematics Department)[chair] Prof. Tim Davis (University of Florida Computer Science Department) Prof. James Demmel (UC Berkeley Mathematics Computer Science Departments) Prof. Alan Edelman (MIT Mathematics Department CSAIL) Prof. Howard Elman (University of Maryland Computer Science Department) Prof. John Gilbert (UC Santa Barbara Computer Science Department) Prof. Michael Heath (University of Illinois Computer Science Department) Prof. Dianne OLeary (University of Maryland Computer Science Department) Prof. Michael Overton (New York University Computer Science Department Courant) Prof. Yousef Saad (University of Minnesota Computer Science Department) Prof. Ahmed Sameh (Purdue University Computer Science Department) Prof. Michael Stonebraker (MIT CSAIL) Prof. Gilbert Strang (MIT Mathematics Department) Prof. Robert van de Geijn (University of Texas Computer Science Department) Prof. Charles Van Loan (Cornell Computer Science Deparment) Prof. Margaret Wright (New York University Computer Science Department Courant) 1. Introduction Computer science has delivered extraordinary benefits over the last several decades. The breadth and depth of these contributions is accelerating as the world becomes globally connected. At the same time, the field of computer science has expanded to touch almost every facet of our lives. This places enormous pressure on the computer science curriculum to deliver a rigorous core while also allowing students to follow their interests into the many diverse and productive paths computer science can take them. As science and engineering disciplines grow so the use of mathematics grows as ne