Literature cited
D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra [in Russian], Fizmatgiz, Moscow (1963).
D. K. Faddeev, V. N. Kublanovskaya, and V. N. Faddeeva, “On solving linear algebraic systems with rectangular matrices,” Trudy Matem. Inst. Akad. Nauk SSSR,96, 76–92 (1968).
V. N. Kublanovskaya, “Certain bounds for the eigenvalues of a positive-definite matrix,” Zh. Vychisl. Matem. i Matem. Fiz.,5, No. 1, 107–111 (1965).
B. N. Parlett, “Laguerre's method applied to the matrix eigenvalue problem,” Math. of Comput.,18, 464–485 (1964).
J. H. Wilkinson, Algebraic Eigenvalue Problem, Oxford Univ. Press, London (1965).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 35, pp. 56–66, 1973.
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Kublanovskaya, V.N. Normalized scheme of the square-root method and its application to the solving of certain problems of algebra. J Math Sci 7, 40–48 (1977). https://doi.org/10.1007/BF01846070
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DOI: https://doi.org/10.1007/BF01846070