Geodesic
Bounds for the matrix exponential based on the Lyapunov equation and limits of the Hausdorff set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 2, pp. 131-141 Cet article a éte moissonné depuis la source Math-Net.Ru

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Yu. M. Nechepurenko. Bounds for the matrix exponential based on the Lyapunov equation and limits of the Hausdorff set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 2, pp. 131-141. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_2_a0/

[1] Godunov S. K., Sovremennye aspekty lineinoi algebry, Nauchn. kniga, Novosibirsk, 1997

[2] Godunov S. K., Nechepurenko Yu. M., “Otsenki dlya glavnoi i zhestkoi komponent na osnove integralnogo kriteriya kachestva dikhotomii”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 35–42 | MR

[3] Bulgakov A. Ya., “Effektivno vychislyaemyi parametr kachestva ustoichivosti sistemy lineinykh differentsialnykh uravnenii s postoyannymi koeffitsientami”, Sibirskii matem. zhurnal, 21:3 (1980), 32–41 | MR | Zbl

[4] Sarybekov R. A., “Ekstremalnye funktsii Lyapunova sistem uravnenii vtorogo poryadka”, Sibirskii matem. zhurnal, 18:5 (1977), 1159–1167 | MR | Zbl

[5] Golub G. H., Van Loan C. F., Matrix computations, Johns Hopkins Univ. Press, Baltimore, 1989 | MR | Zbl

[6] Nechepurenko Yu. M., “New spectral analysis technology based on the Schur decomposition”, Russ. J. Numer. Analys. Math. Modelling, 14:3 (1999), 265–274 | DOI | MR | Zbl

[7] Gohberg I., Lancaster P., Rodman L., Matrix polynomials, Acad. Press, New York, 1982 | MR | Zbl

[8] Nechepurenko Yu. M., Metod singulyarnoi funktsii dlya problem sobstvennykh znachenii, IVM RAN, M., 1994

[9] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1980 | MR