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 Decompositions of Matrix Spaces with Applications to Matrix Equations, Atti Accad Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8)  45(1968), 54-60

10. A. B-I, A Note on Partitioned Matrices and Equations, SIAM Review 11 (1969), 247-250

11. A. B-I, On Matrices of Index Zero or One, SIAM Review 17 (1969), 1118-1121

12. 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

 

13. 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

 

14. 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

 

15. J.B. Hawkins and A. B-I, On Generalized Matrix Functions, Linear and Multilin. Algeb. 1(1973), 163-171

 

16. A. B-I, A Cramer Rule for Least-Norm Solutions of Consistent Linear Equations,  Lin. Algeb. Appl.  43 (1982), 223-226

 

17. A. B-I, Generalized Inverses of Matrices: A Perspective of the Work of Penrose,  Proc. Cambridge Philos. Soc. 100 (1986), 407-425

18. A. B-I, A Volume associated with m x n Matrices, Lin. Algeb. and its Appl. 167(1992), 87-111

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

20. R. Bapat and A. B-I, Singular Values and Maximum Rank Minors of Generalized Inverses , Lin. and Multilin. Algeb. 40(1995), 153-161

21. A. B-I, A Local Inverse for Nonlinear Mappings, Numerical Algorithms 25 (2000), 37-46

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

23. 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





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