Systems of quaternionic linear matrix equations: solution, computation, algorithm, and applications
Abdur Rehman,
Muhammad Zia Ur Rahman,
Asim Ghaffar
et al.
Abstract:<p>In applied and computational mathematics, quaternions are fundamental in representing three-dimensional rotations. However, specific types of quaternionic linear matrix equations remain few explored. This study introduces new quaternionic linear matrix equations and their necessary and sufficient conditions for solvability. We employ a methodology involving lemmas and ranks of coefficient matrices to develop a novel algorithm. This algorithm is validated through numerical examples, showing its applica… Show more
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