This is a preview of subscription content, log in via an institution to check access.
Literature cited
N. I. Muskhelishvili, Singular Integral Equations, Wolters-Noordhoff, Groningen (1958).
B. G. Gabdulkhaev and P. N. Dushkov, “The method of mechanical quadratures for singular integral equations,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 3–14 (1974).
V. D. Didenko, “The method of mechanical quadratures for systems of singular integral equations in spaces of Hölder functions,” in: The Approximate Solution of Certain Problems for Differential and Integral Equations of an Applied Character [in Russian], Preprint 80-17, RIO IK Akad. Nauk USSR, Kiev (1980), pp. 19–24.
B. G. Gabdulkhaev, “Finite-dimensional approximations of singular integrals and direct methods for solving singular integral and integrodifferential equations,” Itogi Nauki i Tekhniki, Ser. Mat. Anal.,18, 251–307 (1980).
V. A. Zolotarevskii, “The convergence of the collocation method and of the method of mechanical quadratures for systems of singular integral equations,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 105–108 (1976).
M. S. Budyanu and I. Ts. Gokhberg, “General theorems on the factorization of matrix-functions. I. The fundamental theorem,” Mat. Issled.,3, No. 2, 87–103 (1968).
N. P. Vekua, Systems of Singular Integral Equations, Gordon and Breach (1967).
V. V. Ivanov, Theory of Approximate Methods and Its Application to the Numerical Solution of Singular Integral Equations [in Russian], Naukova Dumka, Kiev (1968).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 341–350, September, 1984.
Rights and permissions
About this article
Cite this article
Didenko, V.D. Problem of the approximate matrix factorization and its applications. Mathematical Notes of the Academy of Sciences of the USSR 36, 667–672 (1984). https://doi.org/10.1007/BF01141937
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01141937