Title
Fast parallel algorithms for the maximum sum problem
Abstract
A problem in pattern recognition is to find the maximum sum over all rectangular subregions of a given ( n × n ) matrix of real numbers. The problem has one-dimensional (1D) and two-dimensional (2D) versions. For the 1D version, it is to find the maximum sum over all contiguous subvectors of a given vector of n real numbers. We give an algorithm for the 1D version running in O (log n ) time using O( (n) ( log n) ) processors on the EREW PRAM, and an algorithm for the 2D version which takes O (log n ) time using O( (n 3 ) ( log n) ) processors on the EREW PRAM.
Year
DOI
Venue
1995
10.1016/0167-8191(94)00063-G
Parallel Computing
Keywords
Field
DocType
parallel algorithm,maximum sum,maximum sum problem,parallel algorithms,matrix,vector,pattern recognition
Binary logarithm,Combinatorics,Matrix calculus,Parallel algorithm,Matrix (mathematics),Maximum subarray problem,Real number,Maximization,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
21
3
Parallel Computing
Citations 
PageRank 
References 
10
0.78
4
Authors
1
Name
Order
Citations
PageRank
Zhaofang Wen1568.25