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Zitko, Jan
Generalization of the minimax method for calculation of the spectral radius of a matrix. (English). Aplikace matematiky, vol. 15 (1970), issue 1, pp. 41-62
MSC: 65-40 | MR 0250472 | Zbl 0194.46802 | DOI: 10.21136/AM.1970.103266
Keywords:
numerical mathematics
Summary:
Let $B$ be a non-negative irreducible $n\times n$ cyclic matrix of index 2, let $I$ be the unite matrix. In this paper the calculation of the spectral radius of the matrix $B+\alpha I$ by minimax method as well as the rate of convergence in dependence on the number $\alpha$ is studied.
References:
[1] R. S. Varga: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey 1962. MR 0158502
[2] D. M. Young: Iterative Methods for Solving Partial Difference Equation of Elliptic Type. Trans. Amer. Math. Soc. 76 (1954), 92-111. DOI 10.1090/S0002-9947-1954-0059635-7 | MR 0059635
[3] E. Humhal, J. Zítko: Poznámka k superrelaxační metodě. Aplikace matematiky 3, sv. 12 (1967) 161-170. MR 0224263
[4] J. Zítko: Srovnání metod pro výpočet spektrálního poloměru matice. Sborník výzkumných prací Ústavu výpočtové techniky ČSAV - ČVUT 1967.
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