The star partial order and the eigenprojection at 0 on EP matrices

DOI10.1016/j.amc.2012.04.034zbMath1252.15035OpenAlexW2094323735MaRDI QIDQ450299

A. Hernández, F. Urquiza, Nestor Janier Thome, Marina B. Lattanzi

Publication date: 13 September 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/52185

zbMATH Keywords

Hermitian matricesMoore-Penrose inversestar partial ordersharp partial ordercomplex EP matricesdecomposition of matriceseigenprojectionpredecessors of a matrixsuccessors of a matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Further results on partial ordering and the generalized inverses ⋮ Displacement structure of the core inverse ⋮ On the minus partial order in control systems ⋮ Polynomially EP operators ⋮ Weighted G-Drazin inverses and a new pre-order on rectangular matrices ⋮ Partial orders based on core-nilpotent decomposition ⋮ A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse ⋮ Some more properties of core partial order ⋮ Core–EP pre-order of Hilbert space operators ⋮ On a partial order defined by the weighted Moore-Penrose inverse ⋮ On some new pre-orders defined by weighted Drazin inverses ⋮ Unnamed Item ⋮ Relationships between DMP relation and some partial orders ⋮ Weighted pre-orders involving the generalized Drazin inverse ⋮ On a new generalized inverse of matrices ⋮ Partial orders in rings based on generalized inverses -- unified theory. ⋮ New matrix partial order based on spectrally orthogonal matrix decomposition ⋮ Unnamed Item ⋮ Characterizations and representations of the core inverse and its applications ⋮ Nilpotent matrices and the minus partial order ⋮ Optimal perturbation bounds for the core inverse

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