Convergence of $L_p$-norms of a matrix

Stavinoha, Pavel

doi:10.21136/AM.1985.104162

Geodesic

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Convergence of

L_{p}

-norms of a matrix

Stavinoha, Pavel

Applications of Mathematics, Tome 30 (1985) no. 5, pp. 351-360.

Voir la notice de l'article dans Czech Digital Mathematics Library

Résumé

a recurrence relation for computing the

L_{p}

-norms of an Hermitian matrix is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the

L_{p}

-norms for the approximation of the spectral radius of an Hermitian matrix an a priori and a posteriori bounds for the error are obtained. Some properties of the a posteriori bound are discussed.

MR Zbl

DOI : 10.21136/AM.1985.104162

Classification : 15A12, 15A42, 15A60, 65F15, 65F35
Mots-clés : convergence;

L_{p}

-norms; Hermitian matrix; spectral radius

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     title = {Convergence of $L_p$-norms of a matrix},
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     zbl = {0609.65024},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104162/}
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Stavinoha, Pavel. Convergence of $L_p$-norms of a matrix. Applications of Mathematics, Tome 30 (1985) no. 5, pp. 351-360. doi : 10.21136/AM.1985.104162. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104162/

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