28 citations · 70 across the 8 of their papers we have counts for
6 papers · 1 filter
Positivity of GCD tensors and their determinants
Projesh Nath Choudhury, Krushnachandra Panigrahy
Let be an ordered set of distinct positive integers. The th-order -dimensional tensor where $t_{i…
A note on numerical ranges of tensors
Nirmal Chandra Rout, Krushnachandra Panigrahy, Debasisha Mishra
Theory of numerical range and numerical radius for tensors is not studied much in the literature. In 2016, Ke {\it et al.} [Linear Algebra Appl., 508 (2016) 100-132] introduced fir…
Reverse-order law for weighted Moore--Penrose inverse of tensors
Krushnachandra Panigrahy, Debasisha Mishra
In this paper, we provide a few properties of the weighted Moore--Penrose inverse for an arbitrary order tensor via the Einstein product. We again obtain some new sufficient condit…
On reverse-order law of tensors and its application to additive results on Moore-Penrose inverse
Krushnachandra Panigrahy, Debasisha Mishra
The equality $(\mc{A}\n\mc{B})^\dagger = \mc{B}^\dagger \n \mc{A}^\dagger$ for any two complex tensors $\mc{A}$ and $\mc{B}$ of arbitrary order, is called as the {\it reverse-order…
An extension of the Moore-Penrose Inverse of a Tensor via the Einstein product
Krushnachandra Panigrahy, Debasisha Mishra
In this paper, we first give an expression for the Moore-Penrose inverse of the product of two tensors via the Einstein product. We then introduce a new generalized inverse of a te…
Reverse order law for the Moore-Penrose inverses of tensors
Krushnachandra Panigrahy, Ratikanta Behera, Debasisha Mishra
Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-P…