Geodesic
Convergence of $L_p$-norms of a matrix
Applications of Mathematics, Tome 30 (1985) no. 5, pp. 351-360
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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.
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.
DOI : 10.21136/AM.1985.104162
Classification : 15A12, 15A42, 15A60, 65F15, 65F35
Keywords: convergence; $L_p$-norms; Hermitian matrix; spectral radius 
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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

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