Preview
Unable to display preview. Download preview PDF.
Bibliography
Turing A.M. Rounding-off errors in matrix processes. Quart. J. Mech., 1, 1948, 287–308.
J. von Neuman and H.H. Goldstine. Numerical inverting of matrices of high order. —Bull. Amer. Math. Soc., 1947, v.53, no. 11, 1021–1099.
Guaranteed accuracy for the solving of linear systems in Euclidean spaces./ Godunov S.K., Antonov A.G., Kiriljuk O.P. and Kostin V.I.—Novosibirsk: “Nauka”, 1988. (Russian).
Faddeev D.K. and Faddeeva V.N. Computational methods of linear algebra.— Gos. Izdat. Fiz. Mat. Lit., Moscow, 1963. (Russian).
Bulgakov A.Ya.—Sibirsk. Math. Zh. 21 (1980), No 3, (32–41); English Transl. in Siberian Math. J. 21 (1980).
S.K. Godounov (Godunov) and A.J. Boulgakov (A.Ya. Bulgakov), Difficultes calculatives dans le probleme de Hurwitz et methodes a les surmonter (aspect calculatif du probleme de Hurwitz), Analysis and Optimization of Systems (Proc. Fifth Internat. Conf. (Versailles, 1982)), Lecture Notes in Control and Information Sci., vol. 44, Springer-Verlag, 1982, pp. 846–851. (English abstract, p. 845.)
A.Ya. Bulgakov and S.K. Godunov, Calculation of positive definite solutions of Lyapunov’s equation, Computational Methods of linear algebra, “Nauka”, Novosibirsk, 1985, pp. 17–38. (Russian).
Bulgakov A.Ya. Computation of the exponential function of an asymptotically stable matrix, Computational Methods of linear algebra, “Nauka”, Novosibirsk, 1985, pp. 4–17. (Russian).
Godunov S.K.—Sibirsk. Math. Zh. 27 (1986), no. 5, pp. 24–37.
Bulgakov A.Ya.—Sibirsk. Math. Zh. 30 (1989), no. 4, pp. 30–39
Bulgakov A.Ya. Guaranteed accuracy of calculating of invariant subspaces non-self-adjoint matrix, Numerical analysis, “Nauka”, Novosibirsk, 1989, pp. 12–93, (Russian).
Malyshev A.N. Preprint no. 6, Inst. Math., Siberian Branch Acad. Sci. USSR, Novosibirsk, 1988 (Russian).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Bulgakov, A.Y. (1990). Matrix spectrum dichotomy and generalized Lyapunov matrix equation. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120032
Download citation
DOI: https://doi.org/10.1007/BFb0120032
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52630-8
Online ISBN: 978-3-540-47085-4
eBook Packages: Springer Book Archive