Results 31 to 40 of about 155 (114)

Eigenstructure of the genuine Beta operators of Lupaș and Mühlbach: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

open access: yes, 2016
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

open access: yes, 2008
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]

open access: yes, 1998
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

open access: yes, 2008
. 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

open access: yes, 1996
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

open access: yes, 2008
. 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 ∗

open access: yes, 2008
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

open access: yes, 2008
. 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]

open access: yesPediatr Surg Int, 2022
Balcı Ö   +8 more
europepmc   +1 more source

Numer. Math. (1999) 81: 377–413 The Lidskii-Mirsky-Wielandt theorem – additive and multiplicative versions ⋆

open access: yes, 1996
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  

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