9 papers · 1 filter
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…
Sparsity-Preserving Structured Backward Error Analysis for Double Saddle Point Problems
Sk. Safique Ahmad, Pinki Khatun
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…
A Class of Generalized Shift-Splitting Preconditioners for Double Saddle Point Problems
Sk. Safique Ahmad, Pinki Khatun
In this paper, we propose a generalized shift-splitting (GSS) preconditioner, along with its two relaxed variants to solve the double saddle point problem (DSPP). The convergence o…
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…
Structured Backward Errors for Special Classes of Saddle Point Problems with Applications
Sk. Safique Ahmad, Pinki Khatun
In the realm of numerical analysis, the study of structured backward errors (BEs) in saddle point problems (SPPs) has shown promising potential for development. However, these inve…