On disjoint range matrices

DOI10.1016/j.laa.2011.03.005zbMath1221.15005OpenAlexW1968108480MaRDI QIDQ551276

Oskar Maria Baksalary, Götz Trenkler

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.005

zbMATH Keywords

rankMoore-Penrose inverseorthogonal projectorEP matrixpartitioned matrixconjugate transposedisjoint ranges

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (13)

Further characterizations of the co-EP matrices ⋮ On GMRES for Singular EP and GP Systems ⋮ The minus order and range additivity ⋮ Unnamed Item ⋮ Extensions of the Fill–Fishkind formula and the infimum – parallel sum relation ⋮ On the Moore–Penrose inverse of a sum of matrices ⋮ Additivity properties of operator ranges ⋮ On disjoint range operators in a Hilbert space ⋮ On a pair of vector spaces ⋮ On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\). ⋮ The range and kernel relations of a pair of projections ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Operators with compatible ranges

Cites Work

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• A projector oriented approach to the best linear unbiased estimator
• Matrices \(A\) such that \(AA^\dagger-A^\dagger A\) are nonsingular
• On a subspace metric based on matrix rank
• Particular formulae for the Moore--Penrose inverse of a columnwise partitioned matrix
• Further results on generalized and hypergeneralized projectors
• Functions of orthogonal projectors involving the Moore-Penrose inverse
• On a matrix decomposition of Hartwig and Spindelböck
• Revisitation of the product of two orthogonal projectors
• Column space equalities for orthogonal projectors
• General definition and decomposition of projectors and some applications to statistical problems
• The rank of a difference of matrices and associated generalized inverses
• Idempotency of the Hermitian part of a complex matrix
• On semi-orthogonality and a special class of matrices
• Two sets of new characterizations for normal and EP matrices.
• The Moore-Penrose inverse of a partitioned nonnegative definite matrix
• Generalized inverses. Theory and applications.
• Constructing projections on sums and intersections
• Rank formulae from the perspective of orthogonal projectors
• Matrices for whichA^∗andA^†commute
• Characterizations of EP, normal, and Hermitian matrices
• Generalized inversion and weak bi-complementarity^∗
• On oblique projection, rank additivity and the moore-penrose inverse of the sum of two matrices
• The Moore--Penrose Generalized Inverse for Sums of Matrices
• Generalized Inverses of Linear Transformations
• Representations for the Generalized Inverse of Sums of Matrices
• Representations for the Generalized Inverse of a Partitioned Matrix
• Matrix theory. Basic results and techniques
• Simultaneous diagonalization of rectangular matrices

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