ON THE CONVERGENCE OF A NEW RAYLEIGH QUOTIENT METHOD WITH APPLICATIONS TO LARGE EIGENPROBLEMS
. 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
. 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
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DETECTING FEATURES OF EPILEPTOGENESIS IN EEG AFTER TBI USING UNSUPERVISED DIFFUSION COMPONENT ANALYSIS. [PDF]
Duncan D, Vespa P, Toga AW.
europepmc +1 more source
Computable upper error bounds for Krylov approximations to matrix exponentials and associated φ -functions. [PDF]
Jawecki T, Auzinger W, Koch O.
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Bounds On The Extreme Eigenvalues Of Real Symmetric Toeplitz Matrices
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]
Wu ZY, He J, Liu YM, Tian JK.
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A systolic array for SVD updating
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
On the preconditioned GAOR method for a linear complementarity problem with an M-matrix. [PDF]
Miao SX, Zhang D.
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. 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
Screening for insomnia in primary care: using a two-item version of the Sleep Condition Indicator. [PDF]
Luik AI +3 more
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