PPT-High-performance Implementations of Fast Matrix Multiplication with

Strassens Algorithm Jianyu Huang STRASSEN with Tyler M Smith Greg M Henry Robert A van de Geijn STRASSEN from 30000 feet Overlook of the Bay Area Photo taken in Mission Peak Regional Preserve Fremont CA Summer 2014. So to do fast multiplicationA = B x CReformat B and C before and A after. VP . Fully Automated . Tiered . Storage. Powerful. Trusted. Smart.. Agenda. EMC Symmetrix VMAX Update . Fast VP . Automated . Tiered . Storage. Basis for FAST. Implementation Characteristics. Operational Considerations for Performance. Strassen's. Matrix Multiplication . Algorithms. . Sarah M. . Loos. . Undergraduate, Computer Science, Indiana University, smloos@indiana.edu . A very simple recasting of this classic 7-multiplication recursion improves its time performance for rectangular matrices of order . Communication Avoiding. Fast. Algorithm for. Sparse Matrix . Multiplication. Part I: Minimizing arithmetic operations. Oded Schwartz. CS294, Lecture #21 Fall, 2011. Communication-Avoiding Algorithms. Final presentation. One semester – winter 2014/15. By : Dana Abergel and Alex . Fonariov. Supervisor : . Mony. . Orbach. High Speed Digital System Laboratory. Abstract . Matrix multiplication is a complex mathematical operation.. Sparse Matrix-Matrix Multiplication and Its Use in . Triangle Counting and Enumeration. Ariful Azad . Lawrence Berkeley National Laboratory. SIAM ALA 2015, Atlanta. In collaboration with. Grey Ballard (Sandia), . and . Graph Algorithms. Uri Zwick. Tel Aviv University. February . 2015. Last updated: June 10, 2015. Algebraic matrix multiplication. Strassen. ’s algorithm. Rectangular matrix multiplication. Boolean matrix multiplication. Jianyu. Huang. , Leslie Rice,. Devin A. Matthews, Robert A. van de . Geijn. IPDPS2017, May 31. st. , Orlando, FL. Jianyu Huang. , Leslie Rice,. Devin A. Matthews, Robert A. van de . Geijn. The University of Texas at Austin. Matrix Multiplication. Matrix multiplication is defined differently than matrix addition. The matrices need not be of the same dimension. Multiplication of the elements will involve both multiplication and addition. Graph Algorithms. Uri Zwick. Tel Aviv University. Algebraic matrix multiplication. Strassen. ’s algorithm. Rectangular matrix multiplication. Boolean matrix multiplication. Simple reduction to integer matrix multiplication. Graph Algorithms. Uri Zwick. Tel Aviv University. November 2016. 1. Algebraic matrix multiplication. Strassen. ’s algorithm. Rectangular matrix multiplication. Boolean matrix multiplication. Simple reduction to integer matrix multiplication. - 9003; fax 1 302 456 - 9004; emphotonics.com Copyright 2010 Society of Photo - Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electroni Determinants. Square matrices have determinants, which are useful in other matrix operations, especially inversion. .. For a second-order . square. . matrix. , . A. ,. the determinant is. Consider the following bivariate raw data matrix. Tae Jun Ham. , Sung Jun Jung, . Seonghak. Kim, Young H. Oh, . Yeonhong. Park, . Yoonho. Song, Jung-Hun Park, . Sanghee. Lee, . Kyoung. Park, Jae W. Lee, . Deog-Kyoon. . Jeong. SEOUL NATIONAL.