Literature cited
Yu. D. Shlapak, “Periodic solutions to a Linear system of differential equations with degenerate matrix in the presence of derivatives,” Ukr. Mat. Zh.,27, No. 1, 137–140 (1975).
F. R. Gantmacher, Matrix Theory, Chelsea Publ.
Y. Sibuya, Jr., “Some global properties of matrices of functions of one variable,” Math. Ann.,161, No. 1, 67–77 (1965).
A. M. Samoilenko, “Quasiperiodic solutions to a system of linear algebraic equations with quasiperiodic coefficients,” in: Analytic Methods of Studying Solutions of Nonlinear Differential Equations [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1975), pp. 5–26.
R. Bellman, Introduction to Matrix Analysis, McGraw-Hill (1970).
E. F. Beckenbach and R. Bellman, Inequalities [in Russian], Mir, Moscow (1965).
George Marsaglia and George P. Styan, “Equalities and inequalities for ranks of matrices,” Linear and Multilinear Algebra,2, No. 3, 269–292 (1974).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 19–26, January–February, 1980.
Rights and permissions
About this article
Cite this article
Eremenko, V.A. Some properties of periodic matrices. Ukr Math J 32, 13–18 (1980). https://doi.org/10.1007/BF01090461
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01090461