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@article{MM_2012_24_9_a8, author = {V. B. Mikhailov and V. V. Rumjantsev}, title = {Theory of parametric sensitivity of eigenfrequencies and its application to the stability analysis}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {113--124}, publisher = {mathdoc}, volume = {24}, number = {9}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2012_24_9_a8/} }
TY - JOUR AU - V. B. Mikhailov AU - V. V. Rumjantsev TI - Theory of parametric sensitivity of eigenfrequencies and its application to the stability analysis JO - Matematičeskoe modelirovanie PY - 2012 SP - 113 EP - 124 VL - 24 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2012_24_9_a8/ LA - ru ID - MM_2012_24_9_a8 ER -
%0 Journal Article %A V. B. Mikhailov %A V. V. Rumjantsev %T Theory of parametric sensitivity of eigenfrequencies and its application to the stability analysis %J Matematičeskoe modelirovanie %D 2012 %P 113-124 %V 24 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2012_24_9_a8/ %G ru %F MM_2012_24_9_a8
V. B. Mikhailov; V. V. Rumjantsev. Theory of parametric sensitivity of eigenfrequencies and its application to the stability analysis. Matematičeskoe modelirovanie, Tome 24 (2012) no. 9, pp. 113-124. http://geodesic.mathdoc.fr/item/MM_2012_24_9_a8/
[1] Mikhailov V. B., Khazanov V. B., “Nekotorye algoritmy otsenki ustoichivosti lineinykh mikroskhem pri variatsiyakh konstruktivnykh parametrov”, Avtomatizatsiya konstruktorskogo proektirovaniya REA i EVA, mezhvuz. sb. nauchn. tr., izd-e Penz. politekhn. in-ta, Penza, 1977, 70–73
[2] Mikhailov V. B., “Chislennyi metod opredeleniya polyusno-nulevoi chuvstvitelnosti lineinykh tsepei k elementam ekvivalentnoi skhemy zamescheniya”, sb. nauch. tr. Leningr. elektrotekhnich. in-ta im. V. I. Ulyanova (Lenina), Izvestiya LETI, 249, 1979, 79–87
[3] Cardani C., Mantegazza P., “Calculation of eigenvalues and eigenvectors derivatives for algebraic flutter and diverges eigenproblems”, AIAA J., 17:4 (1979), 408–412 | DOI
[4] Mikhailov V. B., Rumyantsev V. V., Nekrasova L. E., Kompleks problemno-orientirovannykh programm «POLYuS-1» s prilozheniyami, Programmnaya dokumentatsiya komleksa (shifr «POLYuS-1», kod. UB. 73001–01), OFAP SAPR RD i RK Ministerstva elektronnoi promyshlennosti SSSR, L., 1980, 197 pp.
[5] Mikhailov V. B., Chislenno-analiticheskie metody resheniya sverkhzhestkikh differentsialno-algebraicheskikh sistem uravnenii, Nauka, SPb., 2005, 234 pp. | MR
[6] Mikhailov V. B., Rumyantsev V. V., Chislenno-analiticheskie metody analiza elektronnykh skhem, Nauka, SPb., 2006, 118 pp.
[7] Andrew A. L., Chu K.-W. E., Lancaster P., Derivates of eigenvalues and eigenvectors of matrix function, Research paper No 721, Univ. of Calgary, Depart. Math. And Statistics, Calgary, Alberta, Canada, May 1991
[8] Andrev A. L., Chu K.-W. E., Lancaster P., “Derivatives of eigenvalues and eigenvectors of matrix functions”, SIAM J. Matrix Anal. Appl., 14 (903–906) | MR
[9] Lankaster P., Teoriya matrits, Per.s angl., Nauka, M., 1982, 269 pp. | MR
[10] Gridin V. N., Mikhailov V. B., Shusterman L. B., Chislenno-analiticheskoe modelirovanie radioelektronnykh skhem, Nauka, M., 2008, 339 pp.
[11] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988, 552 pp. | MR | Zbl
[12] Lancaster P., “On eigenvalues of matrices depended on a parameter”, Numerische Math., 1964, no. 6, 5–12 | MR
[13] Gerbov A. B., Matveeva A. P., Mikhailov V. B., Avtomatizatsiya skhemotekhnicheskogo proektirovaniya. SimStar, Uchebno-metodicheskoe posobie (instruktsiya polzovatelya paketa SimStar), Izd-e Sankt-Peterburgskogo gosudarstvennogo universiteta aerokosmicheskogo priborostroeniya, SPb., 2005, 102 pp.