6 citations · 7 across the 12 of their papers we have counts for
14 papers
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…
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…
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…
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 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…
A robust parameterized enhanced shift-splitting preconditioner for three-by-three block saddle point problems
Sk. Safique Ahmad, Pinki Khatun
This paper proposes a new parameterized enhanced shift-splitting (PESS) preconditioner to solve the three-by-three block saddle point problem (SPP). Additionally, we introduce a lo…
Special least squares solutions of the reduced biquaternion matrix equation with applications
Sk. Safique Ahmad, Neha Bhadala
This paper presents an efficient method for obtaining the least squares Hermitian solutions of the reduced biquaternion matrix equation . The method leverages…
Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra
Sk. Safique Ahmad, Neha Bhadala
This paper presents the reduced biquaternion mixed least squares and total least squares (RBMTLS) method for solving an overdetermined system in the reduced biquater…
L-structure least squares solutions of reduced biquaternion matrix equations with applications
Sk. Safique Ahmad, Neha Bhadala
This paper presents a framework for computing the structure-constrained least squares solutions to the generalized reduced biquaternion matrix equations (RBMEs). The investigation…
Condition numbers for the Moore-Penrose inverse and the least squares problem involving rank-structured matrices
Sk. Safique Ahmad, Pinki Khatun
Perturbation theory plays a crucial role in sensitivity analysis, which is extensively used to assess the robustness of numerical techniques. To quantify the relative sensitivity o…
Structured condition numbers for a linear function of the solution of the generalized saddle point problem
Sk. Safique Ahmad, Pinki Khatun
This paper addresses structured normwise, mixed, and componentwise condition numbers (CNs) for a linear function of the solution to the generalized saddle point problem (GSPP). We…
Localization theorems for matrices and bounds for the zeros of polynomials over a quaternion division algebra
Sk. Safique Ahmad, Istkhar Ali
In this paper, Ostrowski and Brauer type theorems are derived for the left and right eigenvalues of a quaternionic matrix. Generalizations of Gerschgorin type theorems are discusse…
The Stochastic Logarithmic Norm for Stability Analysis of Stochastic Differential Equations
Sk. Safique Ahmad, Nagalinga Rajan, Soumyendu Raha
To analyze the stability of Itô stochastic differential equations with multiplicative noise, we introduce the stochastic logarithmic norm. The logarithmic norm was originally intro…