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Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede

Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede

Abstract The reconstruction of a matrix having a pre-defined structure from given spectral data is known as an inverse eigenvalue problem (IEP). In this paper, we consider two IEPs involving the reconstruction of matrices whose graph is a special type of tree called a centipede. We introduce a special type …