Relationships between different sets involving group and Drazin projectors and nonnegativity

DOI10.1016/j.laa.2011.08.029zbMath1347.15010OpenAlexW2013291094MaRDI QIDQ1940321

Nestor Janier Thome, Francisco J. Ramírez, Alicia Herrero

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.029

zbMATH Keywords

Drazin inversegroup inversenonnegativitycore-nilpotent

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (max. 100)

Weighted MPCEP inverse of an operator between Hilbert spaces ⋮ GDMP-inverses of a matrix and their duals ⋮ Extensions of generalized core-EP inverse ⋮ Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ Characterizations of DMP inverse in a Hilbert space ⋮ Partial orders based on core-nilpotent decomposition ⋮ Core–EP pre-order of Hilbert space operators ⋮ Reverse order laws for the generalized strong Drazin inverses ⋮ On a new generalized inverse of matrices ⋮ An algorithm to study the nonnegativity, regularity and stability via state-feedbacks of singular systems of arbitrary index ⋮ Unnamed Item ⋮ Ordered matrices with nonnegative group projector ⋮ Nilpotent matrices and the minus partial order ⋮ Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses ⋮ High-order iterative methods for the DMP inverse ⋮ Nonnegative singular control systems using the Drazin projector

Cites Work

• The Drazin inverses of sum and difference of idempotents
• Nonnegative matrices having nonnegative Drazin pseudoinverses
• Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\).
• An algorithm to check the nonnegativity of singular systems
• Characterization of Matrices with Nonnegative Group-Projector
• Nonnegativity of Schur complements of nonnegative idempotent matrices
• Decomposition of Nonnegative Group-Monotone Matrices
• Group inverse and group involutory Matrices^∗
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• Unnamed Item
• Unnamed Item

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