4 papers · 1 filter
Randomized Estimation of T-Eigenvalues of T-SPD Tensors: A Two-Sided Bracket
Hemant Sharma, Nachiketa Mishra
In earlier work \cite{sharma2025} we developed deterministic analytical bounds on the T-eigenvalues of symmetric positive definite (SPD) third-order tensors under the Kilmer--Marti…
Spectral Bounds for Tensors Derived from Trace Functionals and Wasserstein Distance in Tensor Spaces
Hemant Sharma, Nachiketa Mishra
This article introduces a trace-based metric on the space of positive semi-definite (PSD) tensors, offering a geometric perspective that connects their algebraic structure to their…
Eigenbounds of symmetric positive definite tensors
Snigdhashree Nayak, Hemant Sharma, Nachiketa Mishra
This article introduces an algebraic framework for establishing eigenvalue bounds for symmetric positive definite tensors by leveraging intrinsic invariants, specifically the trace…
Iterative Methods for Computing the T-Square Root of Third-Order Tensors
Hemant Sharma, Nachiketa Mishra
We develop and analyze iterative methods for computing the principal square root of third-order tensors under the T-product framework. Tensor extensions of the Newton iteration (qu…