A fast way for matrix multiplication

The importance of matrix multiplication is immense. Considerable amount of applications in computer science requires matrix multiplication. The Strassen’s algorithm for multiplying 2 × 2 matrices requires seven multiplications and eighteen additions. Winograd showed that seven multiplications are th...

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Main Author: Oh, Yi Hong
Other Authors: Shu Jian Jun
Format: Final Year Project
Language:English
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10356/75540
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-755402023-03-04T18:22:16Z A fast way for matrix multiplication Oh, Yi Hong Shu Jian Jun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering The importance of matrix multiplication is immense. Considerable amount of applications in computer science requires matrix multiplication. The Strassen’s algorithm for multiplying 2 × 2 matrices requires seven multiplications and eighteen additions. Winograd showed that seven multiplications are the minimal amount multiplying 2 × 2 matrices. Winograd also discovered a Strassen-like algorithm with fifteen additions together with Coppersmith. Research carried out in this field are generally done through mathematical theorems. The paper attempts to find a better Strassen-like algorithm through an exhaustive method. Bachelor of Engineering (Mechanical Engineering) 2018-06-01T06:37:20Z 2018-06-01T06:37:20Z 2018 Final Year Project (FYP) http://hdl.handle.net/10356/75540 en Nanyang Technological University 56 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering
spellingShingle DRNTU::Engineering::Mechanical engineering
Oh, Yi Hong
A fast way for matrix multiplication
description The importance of matrix multiplication is immense. Considerable amount of applications in computer science requires matrix multiplication. The Strassen’s algorithm for multiplying 2 × 2 matrices requires seven multiplications and eighteen additions. Winograd showed that seven multiplications are the minimal amount multiplying 2 × 2 matrices. Winograd also discovered a Strassen-like algorithm with fifteen additions together with Coppersmith. Research carried out in this field are generally done through mathematical theorems. The paper attempts to find a better Strassen-like algorithm through an exhaustive method.
author2 Shu Jian Jun
author_facet Shu Jian Jun
Oh, Yi Hong
format Final Year Project
author Oh, Yi Hong
author_sort Oh, Yi Hong
title A fast way for matrix multiplication
title_short A fast way for matrix multiplication
title_full A fast way for matrix multiplication
title_fullStr A fast way for matrix multiplication
title_full_unstemmed A fast way for matrix multiplication
title_sort fast way for matrix multiplication
publishDate 2018
url http://hdl.handle.net/10356/75540
_version_ 1759854627959865344