Extension of Moore–Penrose inverse of tensor via Einstein product

DOI10.1080/03081087.2020.1748848zbMath1485.15035arXiv1806.03655OpenAlexW3015091794MaRDI QIDQ5064509

Debasisha Mishra, Krushnachandra Panigrahy

Publication date: 16 March 2022

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

Full work available at URL: https://arxiv.org/abs/1806.03655

zbMATH Keywords

tensorMoore-Penrose inversereverse-order lawEinstein product

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Multilinear algebra, tensor calculus (15A69)

Related Items (9)

Generalized bilateral inverses of tensors via Einstein product with applications to singular tensor equations ⋮ A note on numerical ranges of tensors ⋮ HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations ⋮ Numerical range for weighted Moore-Penrose inverse of tensor ⋮ A fast and efficient Newton-Shultz-type iterative method for computing inverse and Moore-Penrose inverse of tensors ⋮ Reverse-order law for weighted Moore-Penrose inverse of tensors ⋮ Core and core-EP inverses of tensors ⋮ Developing reverse order law for the Moore-Penrose inverse with the product of three linear operators ⋮ Perturbation theory for Moore-Penrose inverse of tensor via Einstein product

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