Error analysis of QR algorithms for computing Lyapunov exponents.
Error Bounds for Computed Eigenvalues and Eigenvectors.
Error Bounds for Computed Eigenvalues and Eigenvectors. II
Error estimation on the Padé approximation of transfer functions via the Lanczos process.
Essai d'application de la méthode spectroscopique de Lanczos pour la recherche des valeurs propres des matrices
Estimates and iteration procedures for proper values of almost decomposable matrices
Evaluating scientific products by means of citation-based models: a first analysis and validation.
Fehlerabschätzung für Eigenwertnäherungen nach der Ersatzkernmethode bei Integralgleichungen.
Finite-difference preconditioners for superconsistent pseudospectral approximations
The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems, are presented...
Fourier analysis of iterative aggregation-disaggregation methods for nearly circulant stochastic matrices
We introduce a new way of the analysis of iterative aggregation-disaggregation methods for computing stationary probability distribution vectors of stochastic matrices. This new approach is based on the Fourier transform of the error propagation matrix. Exact formula for its spectrum can be obtained if the stochastic matrix is circulant. Some examples are presented.
Generalizations of harmonic and refined Rayleigh-Ritz.
Generalized Kronrod Patterson type imbedded quadratures
We present algorithms for the determination of polynomials orthogonal with respect to a positive weight function multiplied by a polynomial with simple roots inside the interval of integration. We apply these algorithms to search for and calculate all possible sequences of imbedded quadratures of maximal polynomials order of precision for the generalized Laguerre and Hermite weight functions.
Graphes et algorithme de calcul de probabilités stationnaires d'un processus markovien discret
Handbook Series Linear Algebra. Eigenvectors of Real and Complex Matrices by L R and QR triangularizations.
Handbook Series Linear Algebra. Simultaneous Iteration Method for Symmetric Matrices.
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem.
Harmonic Ritz and Lehmann bounds.
Homogeneous Jacobi-Davidson.
Homotopy Algorithm for Symmetric Eigenvalue Problems.
Householder's Method for Complex Matrices and Eigensystems of Hermitian Matrices.