Two sets of new characterizations for normal and EP matrices.
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Publication:1414707
DOI10.1016/S0024-3795(03)00650-5zbMath1054.15022WikidataQ61632163 ScholiaQ61632163MaRDI QIDQ1414707
Publication date: 4 December 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Moore-Penrose inversegroup inversecommutativitynormal matrixEP matrixrank equalitiesrange equalities
Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)
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Weighted partial isometries and weighted-EP elements in \(C^{*}\)-algebras ⋮ Further results of special elements in rings with involution ⋮ Polynomially EP operators ⋮ On star-dagger matrices and the core-EP decomposition ⋮ Characterizations of EP, normal, and Hermitian matrices ⋮ Characterizations of EP matrices and weighted-EP matrices ⋮ Factorization of weighted-EP elements in \(C^{\ast }\)-algebras ⋮ New characterizations of EP, generalized normal and generalized Hermitian elements in rings ⋮ Characterizations of EP and normal Banach algebra elements and Banach space operators ⋮ Moore-Penrose inverses and commuting elements of \(C^*\)-algebras ⋮ Characterizations of partial isometries and two special kinds of EP elements ⋮ Characterizations of m-EP elements in rings ⋮ Polynomials satisfied by two linked matrices ⋮ On disjoint range matrices ⋮ Partial isometries and EP elements in Banach algebras ⋮ Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras ⋮ Characterizations of normal, hyponormal and EP operators ⋮ Group inverse of finite potent endomorphisms on arbitrary vector spaces ⋮ On a matrix decomposition of Hartwig and Spindelböck ⋮ On the convergence of general stationary iterative methods for range-Hermitian singular linear systems ⋮ EP elements in rings. ⋮ Moore-Penrose-invertible normal and Hermitian elements in rings. ⋮ Relative EP matrices ⋮ Characterizations and linear combinations of \(k\)-generalized projectors ⋮ Strongly EP elements in a ring with involution ⋮ Explicit solutions of infinite linear systems associated with group inverse endomorphisms
Cites Work
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- Products of EP matrices
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- Rank equalities and inequalities for Kronecker products of matrices with applications.
- On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
- The maximal and minimal ranks of some expressions of generalized inverses of matrices
- Upper and lower bounds for ranks of matrix expressions using generalized inverses
- Wiegmann type theorems for EPr matrices
- Some remarks on \(EP_ r\) matrices, and generalized inverses
- More on maximal and minimal ranks of Schur complements with applications
- Rank equalities related to outer inverses of matrices and applications
- Matrices for whichA∗andA†commute
- Partial isometries, contractions and EP matrices
- EP Operators and Generalized Inverses
- On EPr and normal Epr matrices
- Solutions of the Matrix Equation A * =XA =AX
- An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex Matrix
- A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
- When does rank(ABC) = rank(AB) + rank(BC) - rank(B) hold?
- Rank equalities for idempotent and involutory matrices
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