Optimal backward perturbation bounds for the linear least-squares problem with multiple right-hand sides

IMA Journal of Numerical Analysis

Volumn 16, Issue 1, 1996, Pages 1-11

  Sun, Ji Guang ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE SOLUTION; COLUMN RANKS; LINEAR LEAST SQUARES PROBLEMS; MULTIPLE RIGHT-HAND SIDES; N-MATRIX; PERTURBATION BOUNDS; POSITIVE NUMBERS; R MATRICES;

MATRIX ALGEBRA;

EID: 0030514053     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/16.1.1     Document Type: Article

References (7)

1. BJÖRCK, Å. 1991 Least Squares Methods, Department of Mathematics, Linköping University, May 1991.
2. HIGHAM, N. 1995a Recent results on the accuracy and stability of least squares solvers. Lecture at the Conference Honouring Åke Björck, Linköping, January 1995.
3. HIGHAM, N. 1995b Private communications.
4. HORN, R., & JOHNSON, C. 1985 Matrix Analysis. New York: Cambridge University Press.
5. KARLSON, R. 1995 Private communications.
6. SUN, J.-G. 1993 Backward perturbation analysis of certain characteristic subspaces. Numer. Math. 65, 357-382.
7. WALDÉN, B., KARLSON, R., & SUN, J.-G. 1992 Optimal backward perturbation bounds for the linear least squares problem. Numer. Linear Algebra Appl. 2, 271-286.