8 papers
On a Class of Block-Regularized Preconditioned Iterative Methods for Indefinite Least-Squares Problems
Pinki Khatun
This paper proposes a novel block-regularized splitting (BRS) framework for the efficient solution of indefinite least-squares (ILS) problems. Based on a block-wise regularization…
Physics-Informed Broad Learning System: An Efficient Backpropagation-Free Framework for Solving Partial Differential Equations
Pinki Khatun, M. Sajid, Abhinav Jha +1
Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding governing physical laws into deep neural…
Diophantine Equation over number fields
Pinki Khatun
Let , where is a positive square-free integer, and denote by the ring of integers of $…
Structured Backward Errors of Sparse Generalized Saddle Point Problems with Hermitian Block Matrices
Sk. Safique Ahmad, Pinki Khatun
In this paper, we derive the structured backward error (BE) for a class of generalized saddle point problems (GSPP) by preserving the sparsity pattern and Hermitian structures of t…
Partial Condition Numbers for Double Saddle Point Problems
Sk. Safique Ahmad, Pinki Khatun
This paper presents a unified framework for investigating the partial condition number (CN) of the solution of double saddle point problems (DSPPs) and provides closed-form express…
Sparsity-Preserving Structured Backward Error Analysis for Double Saddle Point Problems
Pinki Khatun, Sk. Safique Ahmad
Backward error (BE) analysis emerges as a powerful tool for assessing the backward stability and strong backward stability of numerical algorithms. In this paper, we explore struct…