Partial orders based on core-nilpotent decomposition

DOI10.1016/j.laa.2015.09.046zbMath1327.15008OpenAlexW2187057804MaRDI QIDQ896849

Xiaoji Liu, Hongxing Wang

Publication date: 14 December 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.046

zbMATH Keywords

Drazin inversecore-nilpotent decompositionC-N partial orderingG-Drazin inverseG-Drazin partial ordering

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items

Some characterizations and properties of a new partial order ⋮ GDMP-inverses of a matrix and their duals ⋮ Left and right G-outer inverses ⋮ Unnamed Item ⋮ Core-EP decomposition and its applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices ⋮ Solving fuzzy linear systems by a block representation of generalized inverse: the core inverse ⋮ Further results on strongly core orthogonal matrix ⋮ The CEPGD-inverse for square matrices ⋮ Weighted G-Drazin inverses and a new pre-order on rectangular matrices ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ EP-nilpotent decomposition and its applications ⋮ Unnamed Item ⋮ Weak group inverse ⋮ A partial order on the set of complex matrices with index one ⋮ Orders in rings based on the core-nilpotent decomposition ⋮ From projectors to 1MP and MP1 generalized inverses and their induced partial orders ⋮ New characterizations of the CMP inverse of matrices ⋮ G-outer inverse of Banach spaces operators ⋮ The new revisitation of core EP inverse of matrices

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• Characterizations of the core inverse and the core partial ordering
• Core inverse of matrices
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