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Low rank Tucker-type tensor approximation to classical potentials

B. Khoromskij, V. Khoromskaia (2007)

Open Mathematics

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...

Modified Gram-Schmidt for solving linear least squares problems is equivalent to Gaussian elimination for the normal equations

H. Späth (1988)

Applicationes Mathematicae

Multiscale analysis of wave propagation in random media. Application to correlation-based imaging

Josselin Garnier (2013/2014)

Séminaire Laurent Schwartz — EDP et applications

We consider sensor array imaging with the purpose to image reflectors embedded in a medium. Array imaging consists in two steps. In the first step waves emitted by an array of sources probe the medium to be imaged and are recorded by an array of receivers. In the second step the recorded signals are processed to form an image of the medium. Array imaging in a scattering medium is limited because coherent signals recorded at the receiver array and coming from a reflector to be imaged are weak and...

On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

Vladimiro Valerio (1981)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Currently displaying 61 – 80 of 107

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Displaying 61 – 80 of 107

Low rank Tucker-type tensor approximation to classical potentials

Modified Gram-Schmidt for solving linear least squares problems is equivalent to Gaussian elimination for the normal equations

Multiscale analysis of wave propagation in random media. Application to correlation-based imaging

Note on a splitting approach to ill-conditioned least squares problems

Notice on the Chipman generalization of the matrix inverse

Numerical Iterative Filters Applied to First Kind Fredholm Integral Equations.

On a modified Kovarik algorithm for symmetric matrices.

On error estimation for the pseudosolution of an inconsistent linear system

On graded QR decompositions of products of matrices.

On Neighbouring Matrices with Quadratic Elementary Divisors.

On the Augmented System Approach to Sparse Least-Squares Problems.

On the computer algebra implementation of the least squares method on the nonnegative orthant.

On the Invariance of Perturbed Null Vectors Under Column Scaling.

On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

On the periodic quotient singular value decomposition.

On the pseudoinverse of a sum of symmetric matrices with applications to estimation

On the Solution of Singular Linear Systems of Algebraic Equations by Semiiterative Methods.

Optimal interpolatory splines using $B$ -spline representation

Optimal quadratic interpolatory splines on general knotset

Perturbation results for nearly uncoupled Markov chains with applications to iterative methods.

Currently displaying 61 – 80 of 107