Title
Solving Ellipsoid-Constrained Integer Least Squares Problems
Abstract
A new method is proposed to solve an ellipsoid-constrained integer least squares (EILS) problem arising in communications. In this method, the LLL reduction, which is cast as a QRZ factorization of a matrix, is used to transform the original EILS problem to a reduced EILS problem, and then a search algorithm is proposed to solve the reduced EILS problem. Simulation results indicate the new method can be much more computationally efficient than the existing method. The method is extended to solve a more general EILS problem.
Year
DOI
Venue
2009
10.1137/060660680
SIAM J. Matrix Analysis Applications
Keywords
Field
DocType
squares problems,lll reduction,original eils problem,existing method,search algorithm,simulation result,ellipsoid-constrained integer,reduced eils problem,new method,general eils problem,qrz factorization
Least squares,Integer,Linear algebra,Ellipsoid,Mathematical optimization,Search algorithm,Factorization,Search problem,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
31
3
0895-4798
Citations 
PageRank 
References 
10
0.55
11
Authors
2
Name
Order
Citations
PageRank
Xiao-Wen Chang120824.85
Gene H. Golub22558856.07