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Article
An extension of the Krylov method for calculating the coefficients of the minimal polynomial
The concept of a k-minimal polynomial of an operator is introduced, and a method for approximate calculation of the coefficients of this polynomial is proposed. The method uses the calculated values of certain fu...
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Article
On estimates of the spectrum of a linear operator
The paper is concerned with new approaches to the analysis of spectra of linear operators. New algorithms are proposed to calculate the coefficients of the minimal polynomial of a matrix; they are based on the...