Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evaluating scientific products by means of citation-based models: a first analysis and validation.
Evaluating the Frechet derivative of the matrix exponential.
Evaluation de l'incertitude sur la solution d'un système Linéaire.
Evaluation of the condition number in linear systems arising in finite element approximations
This paper derives upper and lower bounds for the -condition number of the stiffness matrix resulting from the finite element approximation of a linear, abstract model problem. Sharp estimates in terms of the meshsize h are obtained. The theoretical results are applied to finite element approximations of elliptic PDE's in variational and in mixed form, and to first-order PDE's approximated using the Galerkin–Least Squares technique or by means of a non-standard Galerkin technique in L1(Ω). Numerical...
Exact Inverses of Certain Band Matrices.
Exact Solution of Linear Equations Using P-Adic Expansions
Experiments with Krylov subspace methods on a massively parallel computer
In this note, we compare some Krylov subspace iterative methods on the MASPAR, a massively parallel computer with 16K processors. In particular, we apply these methods to solve large sparse nonsymmetric linear systems arising from elliptic partial differential equations. The methods under consideration include conjugate gradient type methods, semiiterative methods, and a hybrid variant. Our numerical results show that, on the MASPAR, one should compare iterative methods rather on the basis of total...
Explicit conjugate gradient method with preconditioning
An algorithm of the preconditioned conjugate gradient method in which the solution of an auxiliary system is replaced with multiplication by the matrix for suitably chosen is presented.
Explicit solution for an infinite dimensional generalized inverse eigenvalue problem.
Extension de la méthode Procuste à la comparaison de nuages de points situés dans des espaces de dimensions différentes
Extrapolated Gauss-Seidel I and SOR Methods for Least-Squares Problems.
Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems
Recently, Na Huang and Changfeng Ma in (2016) proposed two kinds of typical practical choices of the PPS method. In this paper, we extrapolate two versions of the PPS iterative method, and we introduce the extrapolated Hermitian and skew-Hermitian positive definite and positive semi-definite splitting (EHPPS) iterative method and extrapolated triangular positive definite and positive semi-definite splitting (ETPPS) iterative method. We also investigate convergence analysis and consistency of the...
Extrapolation of S. O. R. iterations
Extremal inverse eigenvalue problem for matrices described by a connected unicyclic graph
In this paper, we deal with the construction of symmetric matrix whose corresponding graph is connected and unicyclic using some pre-assigned spectral data. Spectral data for the problem consist of the smallest and the largest eigenvalues of each leading principal submatrices. Inverse eigenvalue problem (IEP) with this set of spectral data is generally known as the extremal IEP. We use a standard scheme of labeling the vertices of the graph, which helps in getting a simple relation between the characteristic...
Factorization Iterative Methods, M-Operators and H-Operators.
Fast block Toeplitz orthogonalization.
Fast computing of the Moore-Penrose inverse matrix.
Fast Givens Rotations for Orthogonal Similarity Transformations
Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions.