Abstract
Weighted pseudoinverse matrices with singular weights are represented in terms of the coefficients of characteristic polynomials of certain square matrices. By using the expression obtained, we construct limit representations of weighted pseudoinverse matrices with singular weights.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. F. Ward, T. L. Bouillon, and T. O. Lewis, “Weighted pseudoinverses with singular weights,”SIAM J. Appl. Math.,21, No. 3, 480–482 (1971).
H. P. Decell, “An application of the Cayley-Hamilton theorem to generalized matrix inversion,”SIAM Rev.,7, No. 4, 526–528 (1965).
I. N. Molchanov and E. F. Galba, “Weighted pseudoinversion of complex matrices”,Ukr. Mat. Zh.,35, No. 1, 53–57 (1983).
A. Albert,Regression, Pseudoinversion, and Recursive Estimation [Russian translation], Nauka, Moscow (1977).
I. N. Molchanov and E. F. Galba, “Weighted pseudoinversion of matrices with positive definite weights”,Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 15–17 (1989).
F. R. Gantmakher,Theory of Matrices [in Russian], Nauka, Moscow (1967).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 10, pp. 1323–1327, October, 1994.
Rights and permissions
About this article
Cite this article
Galba, E.F. Weighted pseudoinversion of matrices with singular weights. Ukr Math J 46, 1457–1462 (1994). https://doi.org/10.1007/BF01066089
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01066089