Monotone Linear Transformations on Matrices Are Invertible
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Publication:5704518
DOI10.1081/AGB-200058398zbMath1082.15002MaRDI QIDQ5704518
Anna A. Alieva, Alexander E. Guterman
Publication date: 15 November 2005
Published in: Communications in Algebra (Search for Journal in Brave)
Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04) Ordered rings, algebras, modules (06F25)
Related Items (7)
Additive matrix maps that are monotone with respect to the orders induced by the group inverse ⋮ Monotone maps on matrices of index one ⋮ Weighted G-Drazin inverses and a new pre-order on rectangular matrices ⋮ On some new pre-orders defined by weighted Drazin inverses ⋮ Maps preserving the diamond partial order ⋮ Monotone additive matrix transformations ⋮ Combinatorial methods in algebra. Transl. from the Russian
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