7 papers
A Family of Iterative Methods for Computing Generalized Inverses of Quaternion Matrices and its Applications
Biswarup Karmakar, Neha Bhadala, Ratikanta Behera
The computation of generalized inverses of quaternion matrices is a fundamental problem in quaternion linear algebra, with wide-ranging applications in signal processing, image res…
Solution Methods and Perturbation Analysis for the Equality-Constrained Total Least Squares Problem over Reduced Biquaternions
Neha Bhadala
This paper proposes a theoretical framework to address the reduced biquaternion equality-constrained total least squares (RBTLSE) problem. The objective is to find an approximate s…
Structure Preserving Algorithms for Quaternion Outer Inverses with Applications
Neha Bhadala, Ratikanta Behera
This study investigates the theoretical and computational aspects of quaternion generalized inverses, focusing on outer inverses and {1,2}-inverses with prescribed range and/or nul…
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…
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…