Algebraic properties of generalized inverses
From MaRDI portal
Publication:2399898
DOI10.1007/978-981-10-6349-7zbMath1380.15003OpenAlexW2763750067MaRDI QIDQ2399898
Dragana S. Cvetković-Ilić, Yi-Min Wei
Publication date: 24 August 2017
Published in: Developments in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-10-6349-7
monographBanach spacesBanach algebraHilbert spaceDrazin inversegeneralized inversesMoore-Penrose inverseoperator matricescompletions of operator matricesreverse-order law
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) Matrix completion problems (15A83)
Related Items
Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces, Perturbation bounds for the core inverse of matrices, A continuous orbit for the generalized inverse, Moore–Penrose inverse and group inverse, Unnamed Item, Regular factorizations and group inverses of linear operators in Banach spaces, Unbounded WCT operators and applications to linear equations, A generalization of the co-EP property, Operator matrix representations of the generalised Bott-Duffin inverse, The p-Drazin inverse for operator matrix over Banach algebras, Hartwig’s triple reverse order law in C*-algebras, Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications, Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product, Further characterizations of the weak group inverse of matrices and the weak group matrix, The CEPGD-inverse for square matrices, Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices, Improvements on the reverse order laws, Unnamed Item, Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations, Drazin inverse of Lambert conditional type operators, Substitution conditional type operators on \(L^2(\Sigma)\), Generalized inverses of conditional type operators, Perturbation bounds for the group inverse and its oblique projection, Unnamed Item, Formal proofs of operator identities by a single formal computation, Further results on the perturbation estimations for the Drazin inverse, Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces, Generalized Jacobson’s Lemma in a Banach algebra, The Moore-Penrose inverse of symmetric matrices with nontrivial equitable partitions, On formulae for the Moore-Penrose inverse of a columnwise partitioned matrix, Characterizations for the n-strong Drazin invertibility in a ring, Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law, The generalized Drazin inverse of operator matrices, Characterizations, approximation and perturbations of the core-EP inverse, An interval extension of SMS method for computing weighted Moore-Penrose inverse, On the dilation of a conditional operator, Characterizations and representations of the core inverse and its applications, The core inverse and constrained matrix approximation problem, Perturbation theory for Moore-Penrose inverse of tensor via Einstein product, Optimal perturbation bounds for the core inverse, Different characterizations of DMP-inverse of matrices, On linear operators for which TTD is normal, The new revisitation of core EP inverse of matrices, Reverse order laws for Hirano inverses in rings, On the mixed-type generalized inverses of the products of two operators, Perturbation theory for core and core-EP inverses of tensor via Einstein product, Generalized Hirano inverses in Banach algebras, ADDITIVE PROPERTIES OF THE DRAZIN INVERSE FOR MATRICES AND BLOCK REPRESENTATIONS: A SURVEY, Characterizations and representations for the CMP inverse and its application, New classes of more general weighted outer inverses, Minimum property of condition numbers for the Drazin inverse and singular linear equations
