Eduardo Marques de Sá
Abstract
We prove that a norm on Cnin monotonic iff it is strictly homogeneous and orthant-monotonic The monotonicity of composite norms is discussed and a large class of norms on Cnis given which are strictly homogeneous and ∗orthant-monotonic but are not monotonic.
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We prove that a norm on Cnin monotonic iff it is strictly homogeneous and orthant-monotonic The monotonicity of composite norms is discussed and a large class of norms on Cnis given which are strictly homogeneous and ∗orthant-monotonic but are not monotonic.
Key concepts: Orthant, Monotonic function, Mathematics, Homogeneous, Norm (philosophy), Matrix norm, Pure mathematics, Combinatorics