Research
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 : | jksahoo@goa.bits-pilani.ac.in |
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
Implementing Agency : | Birla Institute Of Technology & Science Pilani, Goa |
Funding Agency : | ANRF/SERB |
Source : | Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 |