Perturbation theory for core and core-EP inverses of tensor via Einstein product
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Publication:5864252
DOI10.2298/FIL1916207DzbMath1499.15008OpenAlexW3008719518MaRDI QIDQ5864252
Bingxue Wang, Hai Feng Ma, Hongmei Du
Publication date: 3 June 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1916207d
Theory of matrix inversion and generalized inverses (15A09) Multilinear algebra, tensor calculus (15A69)
Related Items (6)
Reverse-order law for core inverse of tensors ⋮ Generalized bilateral inverses of tensors via Einstein product with applications to singular tensor equations ⋮ The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications ⋮ Computation of outer inverses of tensors using the QR decomposition ⋮ Computing tensor generalized inverses via specialization and rationalization ⋮ Unnamed Item
Cites Work
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- Some theorems on the core inverse of matrices and the core partial ordering
- Generalized inverses: theory and computations
- Reverse-order law for core inverse of tensors
- Characterizations, approximation and perturbations of the core-EP inverse
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- Perturbation theory for Moore-Penrose inverse of tensor via Einstein product
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- Algebraic properties of generalized inverses
- Moore–Penrose inverse of tensors via Einstein product
- Matrices for whichA∗andA†commute
- Core inverse of matrices
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- Tensor inversion and its application to the tensor equations with Einstein product
- Characterizations and representations of the core inverse and its applications
- Outer and (b,c) inverses of tensors
- Core–EP inverse
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