Research

Mathematical Sciences

Title :

Developing efficient methods for approximating generalized inverses of tensors and solving multilinear systems

Area of research :

Mathematical Sciences

Focus area :

Tensor Analysis, Numerical Linear Algebra

Principal Investigator :

Dr. Jajati Keshari Sahoo, Birla Institute Of Technology & Science Pilani (BITS), Goa

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

The research proposal aims to develop an iterative method for computing the Moore-Penrose inverse and Drazin inverse under the T-product. It will use existing matrix theory and Einstein product concepts to propose new iterative schemes and derived convergence results. The concept of matrix splitting will be generalized for tensors under the T-product. Additionally, a preconditioning technique will be developed to accelerate the convergence of iterative schemes or schemes with poor convergence.

Total Budget (INR):

18,81,260

Organizations involved