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math.NA2026
A Family of Iterative Methods for Computing Generalized Inverses of Quaternion Matrices and its Applications
Biswarup Karmakar, Neha Bhadala, Ratikanta Behera
The computation of generalized inverses of quaternion matrices is a fundamental problem in quaternion linear algebra, with wide-ranging applications in signal processing, image res…
math.NA2026
Second-Generation Wavelet-inspired Tensor Product with Applications in Hyperspectral Imaging
Aneesh Panchal, Ratikanta Behera
This paper introduces the -product, a novel wavelet-based tensor multiplication scheme leveraging second-generation wavelet transforms to achieve linear transformation complexit…
math.NA2025
RGDBEK: Randomized Greedy Double Block Extended Kaczmarz Algorithm with Hybrid Parallel Implementation and Applications
Aneesh Panchal, Ratikanta Behera
Kaczmarz is one of the most prominent iterative solvers for linear systems of equations. Despite substantial research progress in recent years, the state-of-the-art Kaczmarz algori…