A Survey on Serial and Parallel Optimization Techniques ... - iMedpub
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A Survey on Serial and Parallel Optimization Techniques ... - iMedpub
Page 1 ... systematic survey on serial and parallel optimization techniques applied on matrix ... multiplication algorithm, Serial optimization, Parallel optimization.
Review Article
A Survey on Serial and Parallel Optimization Techniques Applicable for Matrix Multiplication Algorithm Yajnaseni Dash*, Sanjay Kumar and V.K. Patle School of Studies in Computer Science & IT, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh, 492010, India
ABSTRACT
Address for Correspondence School of Studies in Computer Science & IT, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh, 492010, India. E-mail: yajnasenidash @gmail.com
Parallel algorithms play an imperative role in the high performance computing environment. Dividing a task into the smaller tasks and assigning them to different processors for parallel execution are the two key concepts to evaluate the performance of parallel algorithms. Performance enhancement is essential in large scientific applications, where dense matrix multiplication algorithm is extensively used. Thus, optimization of this algorithm, both for serial and parallel execution would provide upsurge performance. In this paper, a brief systematic survey on serial and parallel optimization techniques applied on matrix multiplication algorithm is carried out. Keywords: Parallel algorithm, Parallel processing, Matrix multiplication algorithm, Serial optimization, Parallel optimization.
INTRODUCTION Programming on multiprocessor system using divide and conquer technique is called parallel programming. The parallel program is composed of various active processes all at once solving a particular problem. This paper focuses upon the previous research work which has been done to optimize the matrix multiplication algorithm on serial and parallel platforms. This paper focuses on different aspects of optimizing the matrix multiplication algorithm.
What is parallel algorithm? An idealized parallel algorithm is that which is written for Parallel Random Access Machines (PRAM) model with no communication overhead1. Conventional uniprocessor computer system has been modeled as Random Access Machines (RAM) by Sheperdson and Sturgis in 19632 whereas parallel computers with zero synchronization and no memory access overhead have been modeled as PRAM in 19783. If there is a set of k concurrent processes and if k=1 then it is called sequential algorithm. Sequential algorithm runs on uniprocessor machine. If
American Journal of Computer Science and Engineering Survey
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Dash et al__________________________________________________ ISSN 2349 – 7238 there is a set of k concurrent processes and if k>1 then it is called parallel algorithm. Parallel algorithm runs on parallel computers1. Matrix multiplication algorithm Matrix is an extremely significant mean in conveying and discussing problems which arise from real life scenarios. It will be effortless to manipulate and obtain more information by managing the data in matrix form. Multiplication is one of the essential operations on matrices. A square matrix of order n x n is an arrangement of set of elements in n rows and n columns4. n 1 Aik Bkj Cij = k 0 , 0 i< m, 0 j
