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A unified approach to generalized inverses of linear operators: II. Extremal and proximal properties


Authors: M. Z. Nashed and G. F. Votruba
Journal: Bull. Amer. Math. Soc. 80 (1974), 831-835
MSC (1970): Primary 47A50, 47A99, 41A50; Secondary 54C60, 54C65
DOI: https://doi.org/10.1090/S0002-9904-1974-13529-9
Part I: Bull. Amer. Math. Soc., Volume 80, Number 5 (1974), 825--830
MathSciNet review: 0365191
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  • 3. R. B. Holmes, A course on optimization and best approximation, Lecture Notes in Math., vol. 257, Springer-Verlag, Berlin, 1972. MR 420367
  • 4. M. Z. Nashed, Generalized inverses, normal solvability, and iteration for singular operator equations, Nonlinear Functional Anal. and Appl. (Proc. Advanced Sem., Math. Res. Center, Univ. of Wisconsin, Madison, Wis., 1970), Academic Press, New York, 1971, pp. 311-359. MR 43 #1003. MR 275246
  • 5. M. Z. Nashed and G. F. Votruba, A unified approach to generalized inverses of linear operators: I. Algebraic, topological, and projectional properties, Bull. Amer. Math. Soc. 80 (1974), 825-830. MR 365190
  • 6. T. G. Newman and P. L. Odell, On the concept of a p-q generalized inverse of a matrix, SIAM J. Appl. Math. 17 (1969), 520-525. MR 41 #220. MR 255559
  • 7. R. Penrose, On best approximate solutions of linear matrix equations, Proc. Cambridge Philos. Soc. 52 (1956), 17-19. MR 17, 536. MR 74092
  • 8. C. R. Rao and S. K. Mitra, Generalized inverse of matrices and its applications, Wiley, New York, 1971. MR 338013

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DOI: https://doi.org/10.1090/S0002-9904-1974-13529-9

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