Generalized Inverses

 

1. A. B-I and A. Charnes, Contributions to the theory of generalized inverses, J. Soc. Indust. Appl. Math. 11 (1963), 667-699

2. A. B-I and A. Charnes, Generalized inverses and the Bott-Duffin network analysis, J. Math. Anal. Appl. 7(1963), 428-435

3. A. B-I and S.J. Wersan, An elimination method for computing the generalized inverse of an arbitrary complex matrix, J. Assoc. Comput. Mach. 10(1963), 532-537

4. A. B-I, On direct sum decompositions of Hestenes algebras, Israel J. Math. 2 (1964), 50-54

5. A. B-I, An iterative method for computing the generalized inverse of an arbitrary matrix, Math. of Comput. 19(1965), 452-455

6. A. B-I, On error bounds for generalized inverses, SIAM J. Numer. Anal. 3(1965), 585-592

7. A. B-I, A Note on an iterative method for generalized inversion of matrices, Math. of Comput. 20 (1966), 439-440

8. A. B-I and D. Cohen, On iterative computation of generalized inverses and associated projections, SIAM J. Numer. Anal. 3(1966), 410-419

9. A. B-I, On the geometry of subspaces in Euclidean n-spaces, SIAM J. Appl. Math. 15(1967), 1184-1198

10. A. B-I, On decompositions of matrix spaces with applications to matrix equations, Atti Accad Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8)  45(1968), 54-60

11. A. B-I, A note on partitioned matrices and equations, SIAM Review 11 (1969), 247-250

12. A. B-I, On matrices of index zero or one, SIAM J. Appl. Math. 17 (1969), 1118-1121

13. D. Showalter and A. B-I, Representation and computation of the generalized inverse of a bounded linear operator between Hilbert spaces,  Atti Accad Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 48(1970), 184-194

 

14. J.M. Garnett, A. B-I and S.S. Yau, A hyperpower iterative method for computing matrix products involving the generalized inverse, SIAM J. Numer. Anal. 8 (1971), 104-109

 

15. I. Erdelyi and A. B-I, Extremal solutions of linear equations and generalized inversion between Hilbert spaces, J. Math. Anal. Appl. 39(1972), 298-313

 

16. J.B. Hawkins and A. B-I, On generalized matrix functions, Linear and Multilin. Algeb. 1(1973), 163-171

 

17. A. B-I, A Cramer rule for least-norm solutions of consistent linear equations,  Lin. Algeb. Appl.  43 (1982), 223-226

 

18. A. B-I, Generalized inverses of matrices: A perspective of the work of Penrose,  Proc. Cambridge Philos. Soc. 100 (1986), 407-425

19. A. B-I, A volume associated with m x n matrices, Lin. Algeb. and its Appl. 167(1992), 87-111

20. J. Miao and A. B-I, Minors of the Moore-Penrose inverse, Lin. Algeb. and its Appl. 195(1993), 191-208

21. R. Bapat and A. B-I, Singular values and maximum rank minors of generalized inverses , Lin. and Multilin. Algeb. 40(1995), 153-161

22. A. B-I, A local inverse for nonlinear mappings, Numerical Algorithms 25 (2000), 37-46

23. A. B-I, The Moore of the Moore-Penrose inverse, Electron. J. Lin. Algeb. 9(2002), 150-157

24. A. B-I and T.N.E. Greville, Generalized Inverses: Theory and Applications, 2nd ed., Springer, 2003, 420 pp. 1 illus., ISBN: 0-387-00293-6

25. A. B-I, Projectors on intersections of subspaces

25a. Math. Reviews, Review of above paper

26. A. B-I, Matrix Volume and its Applications, Lecture at IWMS-2018, June 2018, Montreal




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