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  1. No Access

    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...

    S. M. Ermakov, K. O. Vidyaeva in Computational Mathematics and Mathematical Physics (2013)

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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...

    S. M. Ermakov, K. O. Vidyaeva in Vestnik St. Petersburg University: Mathematics (2012)