Geodesic
Approximate calculation of the first eigenvalues of a discrete operator in the case when spectral traces of powers of its resolvent are found approximately
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 158-166
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We consider a discrete differential operator in a separable Hilbert space. Eigenvalues of this operator can be calculated with the use of spectral traces of powers of its resolvent. If the resolvent is a kernel operator, then finite-dimensional matrices are considered instead of powers of the resolvent and approximate values of spectral traces are calculated.
Keywords: Hilbert space, resolvent, eigenvalues. 
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E. M. Maleko. Approximate calculation of the first eigenvalues of a discrete operator in the case when spectral traces of powers of its resolvent are found approximately. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 158-166. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a13/

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