Geodesic
Iterative scheme of finding a~spectrum of the product of two non-commutative operators
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 411-427

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We consider spectral features and an iterative scheme of finding a spectrum of the product of two non-commutative partially symmetric operators in the Hilbert space $H$. In this case it is assumed that one of operators is compact, the second not necessarily being compact and even restricted in $H$. Numerical implementation of the iterative scheme for finding the operator spectrum of the problem of eigen-oscillations of the Rayleigh beam is presented. 
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     author = {V. I. Tarakanov and S. A. Lysenkova and M. V. Nesterenko},
     title = {Iterative scheme of finding a~spectrum of the product of two non-commutative operators},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {411--427},
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     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a8/}
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V. I. Tarakanov; S. A. Lysenkova; M. V. Nesterenko. Iterative scheme of finding a~spectrum of the product of two non-commutative operators. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 411-427. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a8/