Results 31 to 40 of about 155 (114)
The eigenstructure of genuine Beta operators is described, a limiting case of Beta-Jacobi operators. Its similarity to that of the classical Bernstein operators is emphasized.
HEILMANN, Margareta +2 more
core
Perturbation Bounds For Isotropic Invariant Subspaces Of Skew-Hamiltonian Matrices
We investigate the behavior of isotropic invariant subspaces of skew-Hamiltonian matrices under structured perturbations. It is shown that finding a nearby subspace is equivalent to solving a certain quadratic matrix equation.
Daniel Kressner
core
Spectral Functions For Real Symmetric Toeplitz Matrices [PDF]
We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions.
Melman, A., A. Melman
core +1 more source
Restarted block Lanczos bidiagonalization methods, Numer. Algorithms
. The problem of computing a few of the largest or smallest singular values and associated singular vectors of a large matrix arises in many applications.
James Baglama, Lothar Reichel
core
A Rational Lanczos Algorithm for Model Reduction
This paper presents a model reduction method for large-scale linear systems that is based on a Lanczos-type approach. A variant of the nonsymmetric Lanczos method, rational Lanczos, is shown to yield a rational interpolant (multi-point Pad'e ...
E. Grimme +5 more
core +1 more source
A BLOCK RAYLEIGH QUOTIENT ITERATION WITH LOCAL QUADRATIC CONVERGENCE
. We present an iterative method, based on a block generalization of the Rayleigh Quotient Iteration method, to search for the p lowest eigenpairs of the generalized matrix eigenvalue problem Au = Bu.
Jean-luc Fattebert Y
core
INTERVAL ITERATIVE METHODS FOR COMPUTING MOORE-PENROSE INVERSE ∗
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results.
Xian Zhang, Yimin Wei, Jianfeng Cai
core
A NEW JUSTIFICATION OF THE JACOBI–DAVIDSON METHOD FOR LARGE EIGENPROBLEMS
. The Jacobi–Davidson method is known to converge at least quadratically if the correction equation is solved exactly, and it is common experience that the fast convergence is maintained if the correction equation is solved only approximately.
Heinrich Voss, Ax Λx
core
COVID-19 pandemic and lockdown: what has changed in common home accidents such as foreign bodies and corrosive injuries? [PDF]
Balcı Ö +8 more
europepmc +1 more source
Summary. We use a simple matrix splitting technique to give an elementary new proof of the Lidskii-Mirsky-Wielandt Theorem and to obtain a multiplicative analog of the Lidskii-Mirsky-Wielandt Theorem, which we argue is the fundamental bound in the study ...
Chi-kwong Li, Roy Mathias
core

