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- W2034665207 abstract "Let W = (wij) be a fixed n × n matrix of positive entries, and consider the W-weighted l∞ norm defined on Cn×n by ‖A‖w, ∞ = max|i, j | wijαij|,A=(αij).The main purpose of this note is to prove that for this norm, multiplicativity, strong stability, and quadrativity are each equivalent to the condition (W-1)2 ⩽ W-1, where W-1 = (ω-1ij) is the Hadamard inverse of W. Among other things we also show that if ‖ · ‖ ∞ is k-bounded for some k ⩾ 2, then it is stable." @default.
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- W2034665207 date "1994-04-01" @default.
- W2034665207 modified "2023-09-28" @default.
- W2034665207 title "Weighted l∞ norms for matrices" @default.
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- W2034665207 doi "https://doi.org/10.1016/0024-3795(94)90112-0" @default.
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