Recurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrix

Kostić, AleksandraAleksandraKostićVoß, HeinrichHeinrichVoß2006-02-172006-02-172003-11http://tubdok.tub.tuhh.de/handle/11420/139In a recent paper [10] Melman proved an even–odd factorization of the characteristic polynomial of a symmetric Toeplitz matrix T on which a symmetry exploiting method for computing the smallest eigenvalue of T can be based. In this note we present a proof of the factorization which is less technical and more transparent.enhttp://rightsstatements.org/vocab/InC/1.0/eigenvalueToeplitz matrixfactorizationMathematikRecurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrixWorking Paper2015-02-04urn:nbn:de:gbv:830-opus-198310.15480/882.137EigenwertToeplitz-MatrixFaktorisierungEigenvalues, eigenvectorsEigenvalues, singular values, and eigenvectors11420/13910.15480/882.137930768030Other