This is a preview of subscription content, log in via an institution to check access.
Literature cited
V. N. Kublanovskaya, “On the application of Newton's method to the determination of the eigenvalues of λ-matrices,” Dokl. Akad. Nauk SSSR,188, No. 5, 1004–1005 (1969).
V. N. Kublanovskaya, “On the application of orthogonal transformations to solving the eigenvalue problem for λ-matrices,” Proc. Symposium Questions of Accuracy and Effectiveness of Computational Algorithms [in Russian], No. 1, (1969), pp. 47–59.
V. N. Kublanovskaya, “Application of a normalized process to solving the inverse matrix eigenvalue problem,” Zap. Nauchn. Seminarov LOMI Akad. Nauk SSSR,23, 72–83 (1971).
V. N. Kublanovskaya, “Normalized scheme of the square-root method and its application to the solving of certain problems of algebra,” J. Sov. Math.,7, No. 1, 41–49 (1977).
L. V. Kantorovich, “Newton's method,” Trudy Matem. Inst. Akad. Nauk SSSR,28, 104–144 (1949).
M. N. Yakovlev, “On certain methods of solving nonlinear equations,” Trudy Matem. Inst. Akad. Nauk SSSR,84, 8–39 (1965).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 35, pp. 67–74, 1973.
Rights and permissions
About this article
Cite this article
Kublanovskaya, V.N. On solving a nonlinear matrix eigenvalue problem. J Math Sci 7, 49–55 (1977). https://doi.org/10.1007/BF01846071
Issue Date:
DOI: https://doi.org/10.1007/BF01846071