Article ID Journal Published Year Pages File Type
8897805 Linear Algebra and its Applications 2018 17 Pages PDF
Abstract
In this article we study the distance d, measured in the Frobenius norm, of a tridiagonal matrix T to the set IT of similarly structured irreducible normal matrices. The matrices in the closure of IT whose distance to T is d are characterized. Known results in the literature for the cases in which T is real or a Toeplitz matrix are recovered. In addition, the special case in which T is a 2-Toeplitz matrix is considered.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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