Hermitian plus possibly non-Hermitian low rank matrices can be efficiently reduced into Hessenberg form. The resulting Hessenberg matrix can still be written as the sum of a Hermitian plus low rank matrix. In this paper we develop a new implicit ...
(p,q)-Pentadiagonal matrices have received considerable attention in recent years, which are a generalization of pentadiagonal matrices. In this paper, a breakdown-free algorithm is presented for numerically evaluating the determinants of n-by-n (...
We consider the class of totally nonnegative (TN) matrices---matrices all of whose minors are nonnegative. Any nonsingular TN matrix factors as a product of nonnegative bidiagonal matrices. The entries of the bidiagonal factors parameterize the set of ...
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