Finite element least-squares methods for a compressible Stokes system.
Gaussian Elimination is not Optimal.
General theory of direct methods for solving systems of equations with band matrices
A unified approach to the theory and construction of direct methods is presented. The approach is based on the idea of the transfer of conditions. In examples it is shown how to obtain a particular method from the general algorithm.
Generalizations of Nekrasov matrices and applications
In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already calculated...
Image restoration through subimages and confidence images.
Index Transforms for Multidimensional DFT's and Convolutions.
Index Transforms for N-dimensional DFT's.
Inertias and ranks of some Hermitian matrix functions with applications
Let S be a given set consisting of some Hermitian matrices with the same size. We say that a matrix A ∈ S is maximal if A − W is positive semidefinite for every matrix W ∈ S. In this paper, we consider the maximal and minimal inertias and ranks of the Hermitian matrix function f(X,Y) = P − QXQ* − TYT*, where * means the conjugate and transpose of a matrix, P = P*, Q, T are known matrices and for X and Y Hermitian solutions to the consistent matrix equations AX =B and YC = D respectively. As applications,...
Interval solutions of linear interval equations
It is shown that if the concept of an interval solution to a system of linear interval equations given by Ratschek and Sauer is slightly modified, then only two nonlinear equations are to be solved to find a modified interval solution or to verify that no such solution exists.
Inverse eigenvalue problem for periodic block Jacobi matrices
Iterative methods for the numerical solution of the boundary value problem of elasticity [Abstract of thesis]
Iterative Nachverbesserung mit Fehlereingrenzung der Cholesky-Faktoren von Stieltjes-Matrizen.
Joint domain-decomposition -LU preconditioners for saddle point problems.
Krein spaces numerical ranges and their computer generation.
Large-scale Kalman filtering using the limited memory BFGS method.
Least squares (P,Q)-orthogonal symmetric solutions of the matrix equation and its optimal approximation.
Linear transforms and convolution
Linear transforms supporting circular convolution on residue class rings
Look-ahead Levinson- and Schur-type recurrences in the Padé table.
Low rank Tucker-type tensor approximation to classical potentials
This paper investigates best rank-(r 1,..., r d) Tucker tensor approximation of higher-order tensors arising from the discretization of linear operators and functions in ℝd. Super-convergence of the best rank-(r 1,..., r d) Tucker-type decomposition with respect to the relative Frobenius norm is proven. Dimensionality reduction by the two-level Tucker-to-canonical approximation is discussed. Tensor-product representation of basic multi-linear algebra operations is considered, including inner, outer...