Results 61 to 70 of about 160 (114)

ON THE CONVERGENCE OF A NEW RAYLEIGH QUOTIENT METHOD WITH APPLICATIONS TO LARGE EIGENPROBLEMS

open access: yes, 2008
. In this paper we propose a variant of the Rayleigh quotient method to compute an eigenvalue and corresponding eigenvectors of a matrix. It is based on the observation that eigenvectors of a matrix with eigenvalue zero are also singular vectors ...
D. P. Oleary Y, G. W. Stewart Z
core  

Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems

open access: yes, 1998
. This paper is concerned with the solution of systems of linear equations T N xN = bN , where fT N gN2IN denotes a sequence of nonsingular nonsymmetricToeplitz matrices arising from a generating function of the Wiener class.
Steidl, Gabriele   +3 more
core   +1 more source

Bounds On The Extreme Eigenvalues Of Real Symmetric Toeplitz Matrices

open access: yes, 2000
We derive upper and lower bounds on the smallest and largest eigenvalues, respectively, of real symmetric Toeplitz matrices. The bounds are first obtained for positive-definite matrices and then extended to the general real symmetric case. Our bounds are
A. Melman
core  

An upper bound for the Z-spectral radius of adjacency tensors. [PDF]

open access: yesJ Inequal Appl, 2018
Wu ZY, He J, Liu YM, Tian JK.
europepmc   +1 more source

A systolic array for SVD updating

open access: yes, 1991
In an earlier paper, an approximate SVD updating scheme has been derived as an interlacing of a QR updating on the one hand and a Jacobi-type SVD procedure on the other hand, possibly supplemented with a certain re-orthogonalization scheme. In this paper,
Joos Vandewalle   +2 more
core  

A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations

open access: yes, 1996
. We derive versal deformations of the Kronecker canonical form by deriving the tangent space and orthogonal bases for the normal space to the orbits of strictly equivalent matrix pencils. These deformations reveal the local perturbation theory of matrix
Alan Edelman   +3 more
core  

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