PPT-Generating Families of Practical Fast 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. So to do fast multiplicationA = B x CReformat B and C before and A after. 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.. 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. Tamás Herendi, S. Roland Major. UDT2012. Introduction. The presented work is . based on the algorithm by . T. Herendi . for constructing uniformly distributed linear recurring sequences to be used for pseudo-random number . 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. Strassen’s. Algorithm . Jianyu. Huang. STRASSEN. with . Tyler M. Smith, Greg M. Henry, Robert A. van de . Geijn. STRASSEN. , from 30,000 feet. *Overlook of the Bay Area. Photo taken in Mission Peak Regional Preserve, Fremont, CA. Summer 2014.. Keyulu. . Xu. University of British Columbia. Joint work with . Nick Harvey. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. What . are. random . s. panning . ). M. . Baselga. , . P. . Fernández-Martínez. , D. Flores, . S. Hidalgo, V. Greco, A. . Merlos. , . D. . Quirion. RD50 project:. Fabrication . of 200um thick p and n- type pad detectors with. enhanced multi-plication effect. A . matrix. . M. is an array of . cell entries. (. m. row,column. ) . that have . rectangular. . dimensions. (. Rows x Columns. ).. Example:. 3x4. 3. 4. 15. x. Dimensions:. A. a. row,column. A. 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. 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.