PPT-High Performance Linear System Solvers with Focus on Graph Laplacians

Richard Peng Georgia Tech Based on recent works joint with Serban Stan Yale Haoran Xu MIT Shen Chen Xu CMU Saurabh Sawlani GaTech John Gilbert UCSB. Yiannis Koutis, Gary Miller. Carnegie Mellon University . TexPoint. fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. Where I am coming from. Theoretical Computer Science Community. Quantized State Systems. in Applied Mathematics. Fran. çois. E. Cellier. Computer Science Department. ETH Zurich. History of Physical System Simulation I. In the early days of digital physical system simulation (1955-1990), simulation software, such as . Identifying functions . on tables, graphs, and equations.. Irma Crespo 2010. Warm Up. Graph y = 2x + 1. Rewrite the linear equation 3y + x = 9 to its slope-intercept form or the “y = ” form.. What is the linear equation for this graph?. Andrew Lumsdaine. Indiana University. lums@osl.iu.edu. My Goal in Life. Performance with elegance. Introduction. Overview of our high-performance, industrial strength, graph library. Comprehensive features. Presented to . the. . Yacht Racing Design & Technology Symposium . December 13, 2011. PROPRIETARY & CONFINDENTIAL. HIGH PERFORMANCE . RULE. organization. HPR Technical Committee:. Steve . Benjamin . Richard Peng. Georgia Tech. Based on . recent works . joint with:. Serban . Stan (Yale. ), . Haoran. . Xu (MIT. ),. Shen . Chen Xu (CMU. ), . Saurabh. . Sawlani. (. GaTech. ). John . Gilbert (UCSB. Charlotte Kiang. May 16, 2012. About me. My name is Charlotte Kiang, and I am a junior at Wellesley College, majoring in math and computer science with a focus on engineering applications.. What I hope to accomplish today. Types of Linear Equations. Slope Intercept Form: y = mx b. You have used this one the most.. If you have your slope and y-intercept, you can graph a line or even a system of equations (two lines).. Quiz. Tell true or false of the following statement:. . . . If c < 0, a < b, then ac > . bc. .. Linear Equation. A linear equation in one variable is an equation that can be written in the form:. Richard Peng. Georgia Tech. OUtline. (Structured) Linear Systems. Iterative and Direct Methods. (. Graph) . Sparsification. Sparsified. Squaring. Speeding up Gaussian Elimination. Graph Laplacians. 1. A “System” is a . set of equations.. A . Linear System. is two linear equations (two lines). Solving . a Linear . System. The . point of . intersection of the lines . is called . the . “solution”. Richard Peng. Georgia Tech. OUtline. (Structured) Linear Systems. Iterative and Direct Methods. (. Graph) . Sparsification. Sparsified. Squaring. Speeding up Gaussian Elimination. Graph Laplacians. 1. Objectives:. To solve a system of linear equations by graphing. To classify a system of linear equations as consistent (independent and dependent) or inconsistent. To graph a system of linear inequalities. Embedded . TechCon. 6/10/2015. Building Silicon IP and Sub-Systems for . Automotive Infotainment and ADAS Applications. Automotive industry: the first and . the future. Electronic components: . . Spark plug, headlight, and horn.