首页|Asymptotic formulae and inequalities for point spectrum in max algebra
Asymptotic formulae and inequalities for point spectrum in max algebra
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NSTL
Elsevier
We prove new explicit asymptotic formulae between (geometric) eigenvalues in max-algebra and classical distinguished eigenvalues of nonnegative matrices, which are useful tools for transferring results between both settings. We establish new inequalities for both types of eigenvalues of Hadamard products and Hadamard weighted geometric means of non-negative matrices. Moreover, a version of the spectral mapping theorem for the distinguished spectrum is pointed out. (C) 2021 Elsevier Inc. All rights reserved.
Nonnegative matricesEigenvalues in max algebraDistinguished eigenvaluesContinuity propertiesInequalitiesHadamard productsSpectral mapping theoremHADAMARD-PRODUCTSPOSITIVE OPERATORSBOUNDED SETSRADIUSJOINTVERSIONNORMMATRICES
Saljooghi, H. Shokooh、Manjegani, S. M.、Peperko, A.
NSTL
Elsevier
