Home

 

Recent Issues

Volume 47

1

2

3

 

Volume 46

1

2

3

4

Volume 45

1&2

3

4

Volume 44

1

2

3

4

Volume 43

1

2

3

4

Past Issues

 

The Journal

Cover

Aims and Scope

Subscription Information

Editorial Board

Instructions for Author

Contact Us

 

 

 

 

Vietnam Journal of Mathematics 37:1 (2009) 91-96

An Algorithm for Solving the Nearest Point Problem in an Affine Subspace

Pham Canh Duong and Le Thanh Hue

Abstract.  We present a new algorithm for finding the projection of a vector into the intersection of a given set of hyperplanes in  Rn. This algorithm is simple to implement and is shown to be more efficient than the well-known original conjugate gradient algorithm.

2000 Mathematics Subject Classification: 90C05, 90C59, 65K05, 65F10.

Keywords: Linear program, successive orthogonal projections algorithm, linear convergence, convex feasibility problem.

 

 

 

 

 

 

 

 

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013