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Representations of the generalized inverse. (English) Zbl 0295.47012


MSC:

47A50 Equations and inequalities involving linear operators, with vector unknowns
47A10 Spectrum, resolvent
Full Text: DOI

References:

[1] Agnew, R. P., The Lototsky method of evaluation of series, Michigan Math. J., 4, 105-128 (1957) · Zbl 0082.27701
[2] Altman, M., Approximation methods in functional analysis, (Lecture Notes Ma107c (1959), California Institute of Technology: California Institute of Technology Pasadena, CA) · Zbl 0118.11901
[3] Bellman, R., A note on the summability of formal solutions of linear integral equations, Duke Math. J., 17, 53-55 (1950) · Zbl 0038.26701
[4] Israel, A. Ben; Charnes, A., Contributions to the theory of generalized inverses, SIAM J., 11, 667-697 (1963) · Zbl 0116.32202
[5] Desoer, C. A.; Whalen, B. H., A note on pseudoinverses, SIAM J., 11, 442-447 (1963) · Zbl 0123.09603
[6] Groetsch, C. W., Remarks on a generalization of the Lototsky summability method, Boll. Un. Mat. Ital. (Series 4), 5, 277-288 (1972) · Zbl 0247.40006
[7] Hardy, G. H., Divergent Series (1949), Oxford University Press: Oxford University Press London · Zbl 0032.05801
[8] Nashed, M. Z., Steepest descent for singular linear operator equations, SIAM J. Numer. Anal., 7, 358-362 (1970) · Zbl 0221.65097
[9] Nashed, M. Z., Generalized inverses, normal solvability, and iteration for singular operator equations, (Rall, L. B., Nonlinear Functional Analysis and Applications (1971), Academic Press: Academic Press New York) · Zbl 0236.41015
[10] Showalter, D., Representation and computation of the pseudoinverse, (Proc. Amer. Math. Soc., 18 (1967)), 584-586 · Zbl 0148.38205
[11] Taylor, A. E., Introduction to Functional Analysis (1958), Wiley: Wiley New York · Zbl 0081.10202
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