Perturbation of generalized inverses of linear operators in Hilbert spaces

Journal of Mathematical Analysis and Applications

Volumn 198, Issue 2, 1996, Pages 506-515

  Ding, J ^a   Huang, L J ^b  

^a The University of Southern Mississippi   (United States)

^b Starr Science Building   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030094523     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0095     Document Type: Article

References (9)

1. 1. J. Ding, The upper semicontinuity of the least squares problems, in "Progress in Systems and Control Theory V," pp. 458-467, Birkhäuser, Boston, 1990.
2. 2. J. Ding and L. J. Huang, On the perturbation of the least squares solutions in Hilbert spaces, Linear Algebra Appl. 212/213 (1994), 487-500.
3. 3. S. Goldberg, "Unbounded Linear Operators, Theory and Applications," McGraw-Hill, New York, 1966.
4. 4. C. W. Groetsch, "Generalized Inverses of Linear Operators," Dekker, New York, 1977.
5. 5. A. Ben-Israel and T. N. E. Greville, "Generalized Inverses: Theory and Applications," Wiley, New York, 1974.
6. 6. T. Kato, "Perturbation Theory for Linear Operators," Springer-Verlag, New York, 1984.
7. 7. M. Z. Nashed, Perturbations and approximations for generalized inverses and linear operator equations, in "Generalized Inverses and Applications" (M. Z. Nashed, Ed.), pp. 325-396, Academic Press, New York/London, 1976.
8. 8. G. W. Stewart and J.-G. Sun, "Matrix Perturbation Theory," Academic Press, New York/London, 1990.
9. 9. P.-Å. Wedin, Perturbation theory for pseudo-inverses, BIT 13 (1973), 217-232.