Properties and structure of the analytic singular value decomposition

S Weiss, IK Proudler, G Barbarino… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
We investigate the singular value decomposition (SVD) of a rectangular matrix of functions
that are analytic on an annulus that includes at least the unit circle. Such matrices occur, eg …

Approximation of boundary element matrices

M Bebendorf - Numerische Mathematik, 2000 - Springer
This article considers the problem of approximating a general asymptotically smooth
function in two variables, typically arising in integral formulations of boundary value …

[KSIĄŻKA][B] Hierarchical matrices

M Bebendorf - 2008 - Springer
In this chapter let TI and TJ be binary cluster trees for the index sets I and J, respectively. A
generalization to arbitrary cluster trees is possible; see Sect. 4.5 for nested dissection cluster …

Bloch wave framework for structures with nonlocal interactions: Application to the design of origami acoustic metamaterials

PP Pratapa, P Suryanarayana, GH Paulino - Journal of the Mechanics and …, 2018 - Elsevier
We present a generalized Bloch wave framework for the dynamic analysis of structures with
nonlocal interactions and apply it to the design of origami acoustic metamaterials …

On the hardness of module learning with errors with short distributions

K Boudgoust, C Jeudy, A Roux-Langlois, W Wen - Journal of Cryptology, 2023 - Springer
Abstract The Module Learning With Errors (M-LWE) problem is a core computational
assumption of lattice-based cryptography which offers an interesting trade-off between …

Hierarchical LU decomposition-based preconditioners for BEM

M Bebendorf - Computing, 2005 - Springer
The adaptive cross approximation method can be used to efficiently approximate stiffness
matrices arising from boundary element applications by hierarchical matrices. In this article …

Fully coupled computation of losses in metallic sheaths and armor of AC submarine cables

L Giussani, L Di Rienzo, M Bechis… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The problem of computing in an efficient and accurate way the armor losses in three-core
AC submarine cables has been of great interest to the offshore cable community for some …

Matrix decomposition algorithms for elliptic boundary value problems: a survey

B Bialecki, G Fairweather, A Karageorghis - Numerical algorithms, 2011 - Springer
We provide an overview of matrix decomposition algorithms (MDAs) for the solution of
systems of linear equations arising when various discretization techniques are applied in the …

[KSIĄŻKA][B] Numerical solution of elliptic differential equations by reduction to the interface

BN Khoromskij, G Wittum - 2012 - books.google.com
During the last decade essential progress has been achieved in the analysis and
implementation of multilevel/rnultigrid and domain decomposition methods to explore a …

Efficient quantum circuits for dense circulant and circulant like operators

SS Zhou, JB Wang - Royal Society open science, 2017 - royalsocietypublishing.org
Circulant matrices are an important family of operators, which have a wide range of
applications in science and engineering-related fields. They are, in general, non-sparse and …