Fixed rank perturbations of regular matrix pencils
Fixed rank perturbations of regular matrix pencils is a scholarly work, published in 2020 in ''Linear Algebra and its Applications''. The main subjects of the publication include pencil, matrix pencil, mathematics, mathematical analysis, pure mathematics, Lie algebra, bounded function, perturbation, numerical linear algebra, rank, square matrix, mathematical optimization, and matrix. The authors apply the result to find necessary and sufficient conditions for the existence of a fixed rank perturbation such that the perturbed pencil has a prescribed determinant.