Ordered matrices with nonnegative group projector

DOI10.1007/s13398-020-00781-yzbMath1430.15004OpenAlexW2998903557MaRDI QIDQ2293217

Nestor Janier Thome, Alicia Herrero

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00781-y

zbMATH Keywords

Moore-Penrose inversegroup inversestar partial ordersharp partial orderminus partial order

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09)

Cites Work

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• Monotone maps on matrices of index one
• Invertibility of a linear combination of two matrices and partial orderings
• Some orders for operators on Hilbert spaces
• Positive cones and convergence conditions for iterative methods based on splittings
• Nonnegativity, stability, and regularization of discrete-time descriptor systems
• Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings
• Nonnegative group-monotone matrices and the minus partial order
• A note on the matrix ordering of special C-matrices
• Nonnegative matrices having nonnegative Drazin pseudoinverses
• Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\).
• Majorization for matrix classes
• Study of proteome maps using partial ordering
• Characterization of protein primary sequences based on partial ordering
• Relationships between different sets involving group and Drazin projectors and nonnegativity
• Nonnegative singular control systems using the Drazin projector
• Partial orders on \(\mathcal{B}(\mathcal{H})\)
• An algorithm to check the nonnegativity of singular systems
• Further properties on the core partial order and other matrix partial orders
• MODULATIONAL INSTABILITY OF DIPOLAR BOSE–EINSTEIN CONDENSATES IN AN OPTICAL LATTICE
• Characterization of Matrices with Nonnegative Group-Projector
• An algorithm to study the nonnegativity, regularity and stability via state-feedbacks of singular systems of arbitrary index
• The diamond partial order in rings