Title
An Algorithm For Collapsing Sign Alternating Sequences Of Real Numbers
Abstract
A table with two rows and n columns may be thought of as two vectors with n components. The distance between the two rows then corresponds to the norm of the difference between the rows. We examine the problem of how to collapse the adjacent columns of the table while keeping the norm of the difference as large as possible. First a stepwise algorithm is given which achieves this end with respect to the norm of the vector of differences. After proving the optimality of the stepwise solution we extend the result to the norm which arises from minimizing the number of persons misclassified. The same algorithm suffices.
Year
DOI
Venue
1983
10.1016/0166-218X(83)90099-9
DISCRETE APPLIED MATHEMATICS
Field
DocType
Volume
Row,Discrete mathematics,Combinatorics,Algorithm,Real number,Mathematics
Journal
6
Issue
ISSN
Citations 
1
0166-218X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Daniel J. Kleitman1854277.98
Robert A. Lew211.37