Algebraic and computational properties of the rank-one updating of a generalized eigenvalue problem are investigated. The results are applied to the computation of the eigenvalues of full Toeplitz matrices related to the Laurent expansion of a rational function, extending a method of Handy and Barlow already known for the banded Toeplitz case
AbstractWe relate polynomial computations with operations involving infinite band Toeplitz matrices ...
It is known that the generating function f of a sequence of Toeplitz matrices {Tn(f)}n may not descr...
The conjecture of Fisher and Hartwig, published in 1968, describes the asymptotic expansion of Toepl...
AbstractAlgebraic and computational properties of the rank-one updating of a generalized eigenvalue ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
AbstractSuppose some Toeplitz matrix families {An(ƒα)} are given, generated by the Fourier expansion...
This note starts from work done by Dai, Geary, and Kadanoff[1] on exact eigenfunctions for Toeplitz ...
We implement an eigenvalue solving algorithm proposed by Ng and Trench, specialized for Toeplitz(-li...
A novel method is presented to determine the SmithMacmillan form of a rationalm times nmatrixR(p)fro...
Bogoya, Böttcher, Grudsky, and Maximenko have recently obtained the precise asymptotic expansion for...
Application of the pure rank-one update algorithm as well as a combination of rank-one updates and t...
AbstractThe eigenvalues of a nonhermitian Toeplitz matrix A are usually highly sensitive to perturba...
In this paper we consider the spectrum and quasi-eigenvalues of a family of banded Toeplitz matrices...
Abstract. Various Toeplitz preconditioners PN have recently been proposed so that an N x N symmetric...
This work develops novel rational Krylov methods for updating a large-scale matrix function f(A) whe...
AbstractWe relate polynomial computations with operations involving infinite band Toeplitz matrices ...
It is known that the generating function f of a sequence of Toeplitz matrices {Tn(f)}n may not descr...
The conjecture of Fisher and Hartwig, published in 1968, describes the asymptotic expansion of Toepl...
AbstractAlgebraic and computational properties of the rank-one updating of a generalized eigenvalue ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
AbstractSuppose some Toeplitz matrix families {An(ƒα)} are given, generated by the Fourier expansion...
This note starts from work done by Dai, Geary, and Kadanoff[1] on exact eigenfunctions for Toeplitz ...
We implement an eigenvalue solving algorithm proposed by Ng and Trench, specialized for Toeplitz(-li...
A novel method is presented to determine the SmithMacmillan form of a rationalm times nmatrixR(p)fro...
Bogoya, Böttcher, Grudsky, and Maximenko have recently obtained the precise asymptotic expansion for...
Application of the pure rank-one update algorithm as well as a combination of rank-one updates and t...
AbstractThe eigenvalues of a nonhermitian Toeplitz matrix A are usually highly sensitive to perturba...
In this paper we consider the spectrum and quasi-eigenvalues of a family of banded Toeplitz matrices...
Abstract. Various Toeplitz preconditioners PN have recently been proposed so that an N x N symmetric...
This work develops novel rational Krylov methods for updating a large-scale matrix function f(A) whe...
AbstractWe relate polynomial computations with operations involving infinite band Toeplitz matrices ...
It is known that the generating function f of a sequence of Toeplitz matrices {Tn(f)}n may not descr...
The conjecture of Fisher and Hartwig, published in 1968, describes the asymptotic expansion of Toepl...