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- W2008054559 abstract "A matrix A∈Rn×n is an M-matrix if and only if the mapping x↦−Ax is quasimonotone increasing (qmi) and if the right spectral bound of −A is negative. Here qmi is meant with respect to the natural cone K={x∈Rn:xk⩾0}. One possibility of generalizing M-matrices is to consider qmi linear mappings on Rn with respect to other cones K⊆Rn. We will present results on such mappings in the Banach algebra setting and discuss some special cones. Moreover, by means of one-sided estimates it is possible to get informations on the right spectral bound of qmi mappings." @default.
- W2008054559 created "2016-06-24" @default.
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- W2008054559 date "2003-04-01" @default.
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- W2008054559 title "Generalized M-matrices and ordered Banach algebras" @default.
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- W2008054559 doi "https://doi.org/10.1016/s0024-3795(02)00552-9" @default.
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