PPT-Matrix Multiplication

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. 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), . Matrix Multiplication. by. Dr. . Eman. . Saad. . & . Dr. . . Shorouk. . Ossama. References. Robert . Wrede. and . Murrary. R. Spiegel, Theory and Problems of Advanced . Calculas. , 2. nd . Edition, 2002.. 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 I : parallel issues. Matrix multiplication II: cache issues. Thanks to Jim Demmel and Kathy Yelick (UCB) for some of these slides. Matrix-Matrix . Multiplication (“DGEMM”). 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. ). 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.