Computation of outer inverses of tensors using the QR decomposition
From MaRDI portal
Publication:2196259
DOI10.1007/s40314-020-01225-4zbMath1463.15009OpenAlexW3037693103WikidataQ114219343 ScholiaQ114219343MaRDI QIDQ2196259
Jajati Keshari Sahoo, Vasilios N. Katsikis, Predrag S. Stanimirović, Ratikanta Behera
Publication date: 28 August 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01225-4
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Multilinear algebra, tensor calculus (15A69) Applications of generalized inverses (15A10)
Related Items (7)
An efficient matrix iteration family for finding the generalized outer inverse ⋮ Generalized bilateral inverses of tensors via Einstein product with applications to singular tensor equations ⋮ \(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory ⋮ One-sided weighted outer inverses of tensors ⋮ Weighted Moore-Penrose inverses of arbitrary-order tensors ⋮ A rapid and powerful iterative method for computing inverses of sparse tensors with applications ⋮ Computing tensor generalized inverses via specialization and rationalization
Cites Work
- Unnamed Item
- Full-rank representations of outer inverses based on the QR decomposition
- Factorization strategies for third-order tensors
- Weighted Moore-Penrose inverses and fundamental theorem of even-order tensors with Einstein product
- The \(\{\) 2\(\}\)-inverse with applications in statistics
- Convergence of Newton-like methods for singular operator equations using outer inverses
- A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
- The generalized inverses of tensors and an application to linear models
- The Drazin inverse of an even-order tensor and its application to singular tensor equations
- Generalized inverses: theory and computations
- Generalized inverses of tensors via a general product of tensors
- A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
- Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation
- Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
- Generalized tensor function via the tensor singular value decomposition based on the T-product
- Further results on Moore-Penrose inverses of tensors with application to tensor nearness problems
- A novel intelligent option price forecasting and trading system by multiple kernel adaptive filters
- Core and core-EP inverses of tensors
- Tensor neural network models for tensor singular value decompositions
- Perturbation theory for Moore-Penrose inverse of tensor via Einstein product
- Optimal perturbation bounds for the core inverse
- Perturbation bounds for DMP and CMP inverses of tensors via Einstein product
- Solving multi-linear systems with \(\mathcal {M}\)-tensors
- A class of outer generalized inverses
- Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
- Moore–Penrose inverse of tensors via Einstein product
- Solving Multilinear Systems via Tensor Inversion
- Randomized algorithms for total least squares problems
- Deblurring Images
- Numerical and Symbolic Computations of Generalized Inverses
- Tensor inversion and its application to the tensor equations with Einstein product
- Krylov subspace methods to solve a class of tensor equations via the Einstein product
- Further results on generalized inverses of tensors via the Einstein product
- Perturbation theory for core and core-EP inverses of tensor via Einstein product
- Mixed and componentwise condition numbers for matrix decompositions
This page was built for publication: Computation of outer inverses of tensors using the QR decomposition
