Work with slicing and matrix multiplication
MATRIX MULTIPLICATION
... See the chapter (and videos) there for full details on this work. Let me be upfront about my bias: I personally believe that introduction of matrices to the high-school curriculum is forced and unnecessary and, as ...
5
A Work-Efficient Parallel Sparse Matrix-Sparse Vector Multiplication Algorithm
... Sparse matrix-sparse vector multiplication (SpMSpV) is an important computational primitive with many applications in graph algorithms and machine ...sparse matrix A is multiplied by a sparse vector ...
11
Optimizing Sparse Matrix-Matrix Multiplication for the GPU
... 1 J ← [ ˆ ˆ J , j] {append column index} 2 V ← [ ˆ ˆ V , A i,k ∗ B k,j ] {append value} The work in the expansion phase is decomposed at the granularity of one thread per nonzero entry in A. Each thread within the ...
22
EFFICIENT MATRIX MULTIPLICATION IN HADOOP
... sparse matrix multiplication strategy, and conducted experiments on our ...dense matrix multiplication in MapReduce has been impeoved by slightly modifying the infrastructure of Hadoop, and ...
12
Generalized matrix inversion is not harder than matrix multiplication
... factorization matrix U and its inverse Y ...the matrix U from the generalized Cholesky decomposition A = U T U and generalized inverse Y ∈ U { 1 , 2 , 3 } ...for matrix multiplication from [ 3 ...
13
Evaluation of Matrix Multiplication on an MPI Cluster
... [2] D.A . Grov e an d P.D . Co ddin gton ;" Comm un icat ion Be nchm ark in g an d Pe rform an ce Mo dellin g of MPI Program s on Cluste r Comp ut er s" , D istr ibut e d an d High Perfor man ce Com p utin g Gro up r epr ...
8
Optimizing Matrix Multiplication Using Multithreading
... Copyright © 2016, Harsh Patel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...
5
Hypergraph Capacity with Applications to Matrix Multiplication
... 2.3 Converting the Capacity of an Odd-Uniform Hy- pergraph to that of an Even One We attempted other methods of generalizing the Lovász number other than the one described in this paper. Many of these methods either did ...
58
Parallel Implementation of Interval Matrix Multiplication
... this work, we focus on an implementation on multicore ...interval matrix multiplication have been proposed, which correspond to various trade-offs between accuracy and efficiency, including some ...
17
Partitioning Models for Scaling Parallel Sparse Matrix-Matrix Multiplication
... The multiplication of these two matrices gives the candidate items to be recommended to each ...that work, we generated the interpolation opera- tors for seven matrices (boneS01, cfd2, denormal, finance256, ...
35
Algebraic adjoint of the polynomials-polynomial matrix multiplication
... Usually, people (including many mathematicians) think that the work of applied mathematicians is to apply some theory from fun- damental mathematics in another area of speciality. In this paper, we follow the ...
9
Uniquely Solvable Puzzles and Fast Matrix Multiplication
... Conjecture 1. Let F be a family of sets, each with cardinality s. There exists a constant c k depending only on k such that if |F | ≥ c s k , then F contains a k- sunflower. While this conjecture itself is not related to ...
56
Using Static Allocation Algorithms for Matrix Matrix Multiplication on Multicores and GPUs
... theoretical work, and correct it dynamically if necessary with a work-stealing ...of work-stealing techniques, allowing to make the best use of highly heterogeneous ...
11
Sparse Matrices and Summa Matrix Multiplication Algorithm in STAPL Matrix Framework
... sparse matrix container in the stapl library and we have implemented the summa matrix multiplication ...This work has opened the door to many different possibilities for research which could ...
50
Matrix Multiplication I
... From a computational point of view, here’s how you’d use this identity to compute this partial matrix multiplication approximately (if you could calculate with infinite precision). Pick > 0 very small, and ...
14
A matrix approach to the Yang multiplication theorem
... The well-known Hadamard conjecture states that Hadamard matrices of order 4n exist for every positive integer n. A consequence of Theorem 1.1 is the existence of a Hadamard matrix of order 8m for a positive ...
9
Matrix Multiplication on FPGA-Based Platform
... The major challenge of this task is I/O interfaces between PC and FPGA board. In our approach, we adopt the software/hardware codesign to exploit the highly parallel nature of operations, which cannot be exploited in our ...
5
3D Matrix Ring with a “Common” Multiplication
... of multiplication, which we have given in analogy with the usual 2D ...trices. Work initially we started with 3 3 3 × × matrix, and then we extended to m n × × p ...
11
Optimizing matrix multiplication Amitabha Banerjee
... were considered particular to the Pentium IV processor and they are not tuned to the Pentium III processor. Moreover the disparities between the achieved performances for matrix multiply and available performance ...
6
Sparse matrix-vector multiplication on GPGPUs
... sparse matrix in decreasing order of the number of nonzero elements; then, the rows are separated into blocks and each block is stored in the ELLPACK ...predict matrix-dependent tuning parameters, such as ...
62