Geodesic
An extension of the Krylov method for calculating the coefficients of the minimal polynomial
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 691-700 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 functionals on iterations of the operator. Special features emerging when the algorithm is used in combination with the Monte-Carlo method are discussed, and numerical results are given. 
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K. O. Vidyaeva; S. M. Ermakov. An extension of the Krylov method for calculating the coefficients of the minimal polynomial. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 691-700. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_5_a0/

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