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- W3092072263 abstract "Let A be an m × n matrix with real entries. Given two proper cones K1 and K2 in ℝn and ℝm, respectively, we say that A is nonnegative if A(K1) ⊆ K2. A is said to be semipositive if there exists a $$x in K_1^ circ $$ such that $$Ax in K_2^ circ $$ . We prove that A is nonnegative if and only if A + B is semipositive for every semipositive matrix B. Applications of the above result are also brought out." @default.
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- W3092072263 date "2020-09-01" @default.
- W3092072263 modified "2023-09-23" @default.
- W3092072263 title "A Characterization of Nonnegativity Relative to Proper Cones" @default.
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- W3092072263 doi "https://doi.org/10.1007/s13226-020-0442-4" @default.
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