Geodesic
Generalization of the minimax method for calculation of the spectral radius of a matrix
Applications of Mathematics, Tome 15 (1970) no. 1, pp. 41-62
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1970.103266
Classification : 65-40
Keywords: numerical mathematics 
@article{10_21136_AM_1970_103266,
     author = {Zitko, Jan},
     title = {Generalization of the minimax method for calculation of the spectral radius of a matrix},
     journal = {Applications of Mathematics},
     pages = {41--62},
     year = {1970},
     volume = {15},
     number = {1},
     doi = {10.21136/AM.1970.103266},
     mrnumber = {0250472},
     zbl = {0194.46802},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1970.103266/}
}
TY  - JOUR
AU  - Zitko, Jan
TI  - Generalization of the minimax method for calculation of the spectral radius of a matrix
JO  - Applications of Mathematics
PY  - 1970
SP  - 41
EP  - 62
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1970.103266/
DO  - 10.21136/AM.1970.103266
LA  - en
ID  - 10_21136_AM_1970_103266
ER  - 
%0 Journal Article
%A Zitko, Jan
%T Generalization of the minimax method for calculation of the spectral radius of a matrix
%J Applications of Mathematics
%D 1970
%P 41-62
%V 15
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1970.103266/
%R 10.21136/AM.1970.103266
%G en
%F 10_21136_AM_1970_103266
Zitko, Jan. Generalization of the minimax method for calculation of the spectral radius of a matrix. Applications of Mathematics, Tome 15 (1970) no. 1, pp. 41-62. doi: 10.21136/AM.1970.103266

[1] R. S. Varga: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey 1962. | MR

[2] D. M. Young: Iterative Methods for Solving Partial Difference Equation of Elliptic Type. Trans. Amer. Math. Soc. 76 (1954), 92-111. | DOI | MR

[3] E. Humhal, J. Zítko: Poznámka k superrelaxační metodě. Aplikace matematiky 3, sv. 12 (1967) 161-170. | MR

[4] J. Zítko: Srovnání metod pro výpočet spektrálního poloměru matice. Sborník výzkumných prací Ústavu výpočtové techniky ČSAV - ČVUT 1967.

Cité par Sources :