A generalized drazin inverse

Glasgow Mathematical Journal

Volumn 38, Issue 3, 1996, Pages 367-381

  Koliha, J J ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030495738     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0017089500031803     Document Type: Article

References (22)

1. A. Ben-Israel and T. N. E. Greville, Generalized Inverses: Theory and Applications (Wiley-Interscience, New York, 1974).
2. R. H. Bouldin, Generalized inverses and factorizations, in Recent Applications of Generalized Inverses, S. L. Campbell, ed., Research Notes in Mathematics 66 (Pitman, London, 1982), 233-249.
3. S. L. Campbell, The Drazin inverse of an operator, in Recent Applications of Generalized Inverses. S. L. Campbell, ed., Research Notes in Mathematics 66 (Pitman, London, 1982) 250-259.
4. S. L. Campbell and C. D. Meyer, Generalized Inverses of Linear Transformations (Pitman, London, 1979).
5. S. L. Campbell, C. D. Meyer and N. J. Rose, Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM J. Appl. Math. 31 (1976), 411-425.
6. S. R. Caradus, Generalized inverses and operator theory, Queen's Papers in Pure and Appl. Math. 50 (Queen's University, Kingston, Ontario, 1978).
7. M. P. Drazin, Pseudo-inverse in associative rings and semigroups, Amer. Math. Monthly 65 (1958), 506-514.
8. M. P. Drazin, Extremal definitions of generalized inverses, Lin. Alg. Appl. 165 (1992), 185-196.
9. R. E. Harte, Spectral projections, Irish Math. Soc. Newsletter 11 (1984), 10-15.
10. R. E. Harte, Invertibility and Singularity for Bounded Linear Operators (Marcel Dekker, New York, 1988).
11. R. E. Harte, On quasinilpotents in rings, PanAm. Math. J. 1 (1991), 10-16.
12. R. E. Hartwig, Schur's theorem and the Drazin inverse, Pacific J. Math. 78 (1978), 133-138.
13. H. G. Heuser, Functional Analysis (Wiley, New York, 1982).
14. C. F. King, A note on Drazin inverses, Pacific J. Math. 70 (1977), 383-390.
15. J. J. Koliha, Isolated spectral points, Proc. Amer. Math. Soc., to appear.
16. D. C. Lay, Spectral properties of generalized inverses of linear operators, SIAM J. Appl. Math. 29 (1975), 103-109.
17. I. Marek and K. Žitný, Matrix Analysis for Applied Sciences, Vol. 2, Teubner-Texte zur Mathematik Band 84 (Teubner, Leipzig, 1986).
18. M. Z. Nashed, ed., Generalized Inverses and Applications (Academic Press, New York, 1976).
19. M. Z. Nashed and Y. Zhao, The Drazin inverse for singular evolution equations and partial differential equations, World Sci. Ser. Appl. Anal. 1 (1992), 441-456.
20. U. G. Rothblum, A representation of the Drazin inverse and characterizations of the index, SIAM J. Appl. Math. 31 (1976), 646-648.
21. B. Simeon, C. Führer and P. Rentrop, The Drazin inverse in multibody system dynamics, Numer. Math. 64 (1993), 521-539.
22. A. E. Taylor and D. C. Lay, Introduction to functional analysis, 2nd edition (Wiley, New York, 1980).