Ela on Some Properties of the Pseudospectral Radius
نویسندگان
چکیده
Pseudospectra provide an analytical and graphical alternative for investigating nonnormal matrices and operators, give a quantitative estimate of departure from non-normality and give information about stability. In this paper, we prove that pseudospectral radius is sub-additive and sub-multiplicative for a commuting pair of matrices over the complex field, extending the same result for spectral radius. We discuss the same result for a non-commutative pair of matrices. We also give an analogue of the spectral radius formula for pseudospectrum.
منابع مشابه
On some properties of the pseudospectral radius
Pseudospectra provide an analytical and graphical alternative for investigating nonnormal matrices and operators, give a quantitative estimate of departure from non-normality and give information about stability. In this paper, we prove that pseudospectral radius is sub-additive and sub-multiplicative for a commuting pair of matrices over the complex field, extending the same result for spectra...
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