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20232025
most citedA robust parameterized enhanced shift-splitting preconditioner for three-by-three block saddle point problems

6 citations · 7 across the 11 of their papers we have counts for

collaborators

12 papers

math.NA2025

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…

math.NA2025

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…

math.NA2024

On the specific solutions of reduced biquaternion equality constrained least squares problem and their relative forward error bound

Sk. Safique Ahmad, Neha Bhadala

This study focuses on addressing the challenge of solving the reduced biquaternion equality constrained least squares (RBLSE) problem. We develop algebraic techniques to derive rea…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…