Asymptotische Entwicklungen für Eigenwerte und Eigenvektoren bei der Approximation parameternichtlinearer Eigenwertaufgaben.
Backward perturbation analysis of certian characteristic subspaces.
Banded matrices and discrete Sturm-Liouville eigenvalue problems.
Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems.
Bounds for the minimum eigenvalue of a symmetric Toeplitz matrix.
Bounds of modulus of eigenvalues based on Stein equation
This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.
Brève communication. Localisation de valeurs propres, régions de Gudkov
Brève communication. Sur la convergence de l’algorithme pour une matrice hermitienne
Calculation of Gauss Quadratures with Multiple Free and Fixed Knots
Calculation of the Weights of Interpolarory Quadratures
Checking nonsingularity of tridiagonal matrices.
Cholesky-like factorizations of skew-symmetric matrices.
Complexity issues for the symmetric interval eigenvalue problem
We study the problem of computing the maximal and minimal possible eigenvalues of a symmetric matrix when the matrix entries vary within compact intervals. In particular, we focus on computational complexity of determining these extremal eigenvalues with some approximation error. Besides the classical absolute and relative approximation errors, which turn out not to be suitable for this problem, we adapt a less known one related to the relative error, and also propose a novel approximation error....
Componentwise Inclusion and Exclusion Sets for Solutions of Quadratic Equations in Finite Dimensional Spaces.
Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem.
Computation of the Smallest Positive Eigenvalue of a Quadratic ..-matrix.
Computing codimensions and generic canonical forms for generalized matrix products.
Computing the CS and the Generalized Singular Value Decompositions.
Convergence analysis of an inexact truncated RQ-iteration.
Convergence of approximation methods for eigenvalue problem for two forms
The paper concerns an approximation of an eigenvalue problem for two forms on a Hilbert space . We investigate some approximation methods generated by sequences of forms and defined on a dense subspace of . The proof of convergence of the methods is based on the theory of the external approximation of eigenvalue problems. The general results are applied to Aronszajn’s method.