Numeric method of finding the eigenvalues for the discrete lower semibounded operators
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 46-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the work the effective method of finding the eigenvalues of the perterbed discrete lower semibounded operators, when the eigenvalues of not perterbed operators have an arbitary multiplicity, is developed. New results, allowing to apply this method by experts, having basic knowledge in the area of the spectral theory of operators are received.
Keywords: amendments of the theory of pertubation, discrete and the self-adjoint operators, eigenvalues, eigenfunctions.
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S. I. Kadchenko; L. S. Ryazanova. Numeric method of finding the eigenvalues for the discrete lower semibounded operators. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 46-51. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a4/

[1] V. A. Sadovnichii, V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Vychislenie pervykh sobstvennykh znachenii zadachi gidrodinamicheskoi ustoichivosti techeniya vyazkoi zhidkosti mezhdu dvumya vraschayuschimisya tsilindrami”, Differents. uravneniya, 36:6 (2000), 742–746 | MR | Zbl

[2] S. I. Kadchenko, “Vychislenie summ ryadov Releya–Shredingera vozmuschennykh samosopryazhennykh operatorov”, Zhurn. vychisl. matematiki i mat. fiziki, 47:9 (2007), 1494–1505 | MR

[3] V. A. Sadovnichii, V. A. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Vychislenie pervykh sobstvennykh chisel kraevoi zadachi gidrodinamicheskoi ustoichivosti techeniya Puazeilya v krugloi trube”, Differents. uravneniya, 34:1 (1998), 50–53 | MR

[4] V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, V. A. Sadovnichii, “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi Orra–Zommerfelda”, Dokl. Akad. nauk, 378:4 (2001), 443–446 | MR | Zbl

[5] V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, V. A. Sadovnichii, “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi gidrodinamicheskoi ustoichivosti techeniya Puazeilya v krugloi trube”, Dokl. Akad. nauk, 380:2 (2001), 160–163 | MR | Zbl

[6] V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, V. A. Sadovnichii, “Novyi metod vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi gidrodinamicheskoi teorii ustoichivosti techeniya vyazkoi zhidkosti mezhdu dvumya vraschayuschimisya tsilindrami”, Dokl. Akad. nauk, 381:3 (2001), 320–324 | MR

[7] S. I. Kadchenko, “Novyi metod vychisleniya pervykh sobstvennykh chisel diskretnykh nesamosopryazhennykh operatorov”, Uravneniya sobolevskogo tipa, sb. nauch. rabot, Chelyabinsk, 2002, 42–59 | MR

[8] S. I. Kadchenko, I. I. Kinzina, “Vychislenie sobstvennykh znachenii vozmuschennykh diskretnykh poluogranichennykh operatorov”, Zhurn. vychisl. matematiki i mat. fiziki, 46:7 (2006), 1265–1272 | MR

[9] S. I. Kadchenko, “Vychislenie summ ryadov Releya–Shredingera vozmuschennykh samosopryazhennykh operatorov”, Zhurn. vychisl. matematiki i mat. fiziki, 47:9 (2007), 1494–1505 | MR

[10] S. I. Kadchenko, “Metod regulyarizovannykh sledov”, Vestn. YuUrGU. Ser. «Matematicheskoe modelirovanie i programmirovanie», 37(170):4 (2009), 4–23

[11] I. I. Kinzina, “Nakhozhdenie sobstvennykh chisel vozmuschennykh diskretnykh operatorov”, Vestn. ChelGU. Ser. «Matematika, mekhanika, informatika», 6(107):10 (2008), 34–43 | MR

[12] V. A. Sadovnichii, Teoriya operatorov, ucheb. dlya vuzov, 3-e izd., ster., Vyssh. shk., M., 1999, 368 pp. | MR