Perturbation results for projecting a point onto a linear manifold

SIAM Journal on Matrix Analysis and Applications

Volumn 19, Issue 3, 1998, Pages 696-700

  Ding, Jiu ^a  

^a The University of Southern Mississippi   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032397694     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479896306604     Document Type: Article

References (8)

1. M. ARIOLI, A. LARATTA, AND O. MENCHI, Numerical computation of the projection of a point onto a polyhedron, J. Optim. Theory Appl., 43 (1984), pp. 495-525.
2. M. ARIOLI AND A. LARATTA, Error analysis of algorithms for computing the projection of a point onto a linear manifold, Linear Algebra Appl., 82 (1986), pp. 1-26.
3. S. L. CAMPBELL AND C. D. MEYER, JR., Generalized Inverses of Linear Transformations, Pitman, Boston, MA, 1979.
4. J. DING, Perturbation analysis for the projection of a point to an affine set, Linear Algebra Appl., 191 (1993), pp. 199-212.
5. C. L. LAWSON AND R. J. HANSON, Solving Least Squares Problems, Prentice-Hall, Englewood Cliffs, NJ, 1974.
6. G. W. STEWART AND J.-G. SUN, Matrix Perturbation Theory, Academic Press, New York, 1990.
7. M. WEI, On the error estimate for the projection of a point onto a linear manifold, Linear Algebra Appl., 133 (1990), pp. 53-75.
8. 3L) potential reduction algorithm for linear programming, Math. Programming, 50 (1991), pp. 239-258.