Matrix Multiplication
A Bootstrap Method for Error Estimation in Randomized Matrix Multiplication
... randomized matrix multiplication (sketching) as a prototype setting for addressing these general ...Keywords: matrix sketching, randomized matrix multiplication, bootstrap ...
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Parallel Matrix Multiplication on Centralized Diamond Architecture
... the matrix multiplication algorithm on Centralized Diamond architecture, as it is seen in the algorithm, each level of the architecture operates in parallel which time complexity is ...a matrix ...
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Finding a heaviest vertex weighted triangle is not harder than matrix multiplication
... rectangular matrix multiplication [4, 11] to improve the running time of the algorithm due to Ne˘set˘ril and Poljak in the case when mod 3 = ...the multiplication of an n r × n s matrix by an ...
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Generalized Matrix Multiplication and its Object Oriented Model
... sparse matrix-vector multiplication, for various data types and matrix formats is approx- imately 6,000 lines ...fast matrix / matrix-vector multiplication, one needs to consider ...
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27. Strassen's Matrix Multiplication Algorithm for Matrices of Arbitrary Order
... ditional zero rows and columns and the influence on the number of flops used by the algorithm in the worst case (𝑑 = 𝑛/16), best case (𝑑 = 1) and in the average case (𝑑 ≈ 𝑛/48). The aim of this work is to give a detailed ...
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Reconfiguration of Memory for High Speed Matrix Multiplication
... In the present electronic era, speed plays a very crucial role. Speed size ad economics are the present buzzwords in the electronic industry. Any designer will have to take all the three outlined factors into account ...
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Design Polynomial Matrix Multiplication By Using Circular Convolution Theorem
... The main aim of this project is design polynomial matrix multiplication by using circular convolution theorem. This work exhibits a scientific system for the advancement of productive calculations for ...
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Algebraic adjoint of the polynomials-polynomial matrix multiplication
... Even though the formulae used to define polynomial operator in the shifts (2.2) resembles to the usual vector-matrix multiplication, it is of- ten stated without explanation. Moreover, it is somewhat ...
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A FPGA based Generic Architecture for Polynomial Matrix Multiplication in Image Processing
... simple multiplication in frequency ...domain matrix into frequency domain and vice ...Polynomial Matrix Multiplication (PMM) using Xilinx system generator ...like multiplication with ...
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A New Parallel Matrix Multiplication Method Adapted on Fibonacci Hypercube Structure
... parallel matrix multiplication almost three decades after commercial parallel systems first became available, one would think that by now we would be able to manage such an apparently straight forward task ...
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Tree Adjoining Grammar Parsing and Boolean Matrix Multiplication
... An interesting relation is studied between this problem and the well-known computational problem of Boolean matrix multiplication: it is shown that any algorithm for the solution of the [r] ...
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New Lower Bounds for the Border Rank of Matrix Multiplication
... Abstract: The border rank of the matrix multiplication operator for n × n matrices is a standard measure of its complexity. Using techniques from algebraic geometry and representation theory, we show the ...
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A New Architecture Using Polynomial Matrix Multiplication for Advanced Wireless Communication
... Polynomial Matrix Multiplication (PMM) of polynomial matrices and/or polynomial vectors for application in Advanced Wireless Communication and an algorithm for computing the approximate polynomial ...
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Optimizing Matrix Multiplication Using Multithreading
... Matrix multiplication of two NxN matrices, can be done in parallel, in many ...C matrix, where Thread 1 computes the elements of the first two rows and thread 2 computes the elements of the next two ...
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Matrix Multiplication on FPGA-Based Platform
... of matrix multiplication using FPGA-Based computing platform is ...of matrix multiplication it makes an ideal application for using such ...Our matrix multiplier is modeled in VHDL and ...
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AN APPROACH TO DATA SECURITY USING STRONG NUMBER AND MATRIX MULTIPLICATION
... Cryptography is the science of securing data while cryptanalysis is the science of applying and breaking secure information.. Cryptography is based on message which[r] ...
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A Matrix Matrix Multiplication methodology for single/multi core architectures using SIMD
... There are several works optimizing the MMM algorithm for one core [17, 16, 29, 5, 15, 8, 37, 48, 56, 30]. The aforementioned works use loop-tiling transforma- tion to utilize the data cache hierarchy and the register ...
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A Multivariate Signature Based On Block Matrix Multiplication
... These facts have inspired many researchers to become involved in the area of MPKCs, which underwent very fast development in the late 1990s. Since then, there have been many attempts to build MPKCs. Unfortu- nately, most ...
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A high performance matrix matrix multiplication methodology for CPU and GPU architectures
... the gcc-4.8.4 compiler are used. It is important to say that by using only the one core, the one thread has to be manually assigned to the one core; the programmer has to set the CPU thread affinity flag. Otherwise, the ...
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Evaluation of Matrix Multiplication on an MPI Cluster
... progra mming softwa re availa b le for clusters is the same present on comme rc ia l.. superco mpu te rs and comput e rs (ex.[r] ...
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