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...
Lower Bounds for the Condition Number of Vandermonde Matrices.
Low-rank iterative methods for projected generalized Lyapunov equations.
LU Decompositions of Generalized Diagonally Dominant Matrices
Mapping directed networks.
Mathematical basis of a system supporting interconnection design.
Mathematical modeling of semiconductor quantum dots based on the nonparabolic effective-mass approximation
Within the effective mass and nonparabolic band theory, a general framework of mathematical models and numerical methods is developed for theoretical studies of semiconductor quantum dots. It includes single-electron models and many-electron models of Hartree-Fock, configuration interaction, and current-spin density functional theory approaches. These models result in nonlinear eigenvalue problems from a suitable discretization. Cubic and quintic Jacobi-Davidson methods of block or nonblock version...
Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II: Mixed-hybrid finite element solution
The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory [J.M. Huyghe and J.D. Janssen, Int. J. Engng. Sci.35 (1997) 793–802; K. Malakpoor, E.F. Kaasschieter and J.M. Huyghe, Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part I: Modeling of incompressible charged porous media. ESAIM: M2AN41 (2007) 661–678]. This theory results in a coupled system of nonlinear parabolic differential equations together with an algebraic...
Matrices Related to Interpolatory Quadratures.
Matrix bounds for the solution of the continuous algebraic Riccati equation.
Matrix computation and the theory of moments.
Matrix exponentials and inversion of confluent Vandermonde matrices.
Matrix rank certification.
Matrix splitting principles.
Matrix splitting principles.
Matrix transformations and quasi-Newton methods.
Maximal solutions of two–sided linear systems in max–min algebra
Max-min algebra and its various aspects have been intensively studied by many authors [1, 4] because of its applicability to various areas, such as fuzzy system, knowledge management and others. Binary operations of addition and multiplication of real numbers used in classical linear algebra are replaced in max-min algebra by operations of maximum and minimum. We consider two-sided systems of max-min linear equations , with given coefficient matrices and . We present a polynomial method for...
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators
A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.
Méthode numérique de détection de la singularité d'une matrice.