Search Results - multilevel matrix decomposition algorithm

Multilevel matrix decomposition algorithm for analysis of electrically large electromagnetic problems in 3-D by Rius, Juan M., Parrón, Josep, Úbeda, Eduard, Mosig, Juan R.

“…The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3‐D for the solution of large electromagnetic problems…”
Get full text

A multilevel matrix decomposition algorithm for analyzing scattering from large structures by Michielssen, E., Boag, A.

“…A multilevel algorithm is presented for analyzing scattering from electrically large surfaces…”
Get full text

A Butterfly-Based Direct Integral-Equation Solver Using Hierarchical LU Factorization for Analyzing Scattering From Electrically Large Conducting Objects by Han Guo, Yang Liu, Jun Hu, Michielssen, Eric

“…(N log 2 N) and O(N 1.5 log N), respectively. These scaling estimates permit significant memory and CPU savings when compared to those realized by low-rank decomposition-based solvers…”
Get full text

Incorporation of a multilevel matrix decomposition algorithm in the finite-element-boundary-integral analysis of scattering from 2D coated conducting bodies by Ergin, A.A., Michielssen, E.

“…The dominant cost of multiplying the coefficient matrix resulting from the finite…”
Get full text

An HSS Matrix-Inspired Butterfly-Based Direct Solver for Analyzing Scattering From Two-Dimensional Objects by Yang Liu, Han Guo, Michielssen, Eric

“…A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering from two-dimensional objects is presented. The solver leverages…”
Get full text

Application of the multilevel matrix decomposition algorithm to the frequency analysis of large microstrip antenna arrays by Parron, J., Rius, J.M., Mosig, J.R.

“… We propose the multilevel matrix decomposition algorithm (MLMDA) to carry out this purpose efficiently…”
Get full text

Fast iterative solution of integral equation with matrix decomposition algorithm and multilevel simple sparse method by Hu, X.Q., Xu, Y., Chen, R.S.

“…In order to efficiently solve large dense complex linear systems arising from the electric field integral equations formulation of electromagnetic problems, matrix decomposition algorithm-singular value decomposition (MDA-SVD…”
Get full text

Improving the Performance of the Multilevel Matrix Decomposition Algorithm for 2.5-D Structures. Application to metamaterials by Parron, J., Junkin, G., Rius, J.M.

“…This paper presents an optimization of the multilevel matrix decomposition algorithm (MLMDA…”
Get full text

Fast Iterative Solution of Integral Equations With Method of Moments and Matrix Decomposition Algorithm - Singular Value Decomposition by Rius, J.M., Parron, J., Heldring, A., Tamayo, J.M., Ubeda, E.

“…The multilevel matrix decomposition algorithm (MLMDA) was originally developed by Michielsen and Boag for 2D TMz scattering problems and later implemented in 3D by Rius et al…”
Get full text

Novel postcompression technique in the matrix decomposition algorithm for the analysis of electromagnetic problems by Jiang, Zhaoneng, Chen, Ru-shan, Fan, Zhenhong, Zhu, Maomao

“…In order to efficiently analyze an electromagnetic scattering problem with the surface integral equation approach, the matrix decomposition algorithm (MDA…”
Get full text

Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas by Parrón Granados, Josep, Romeu Robert, Jordi, Rius Casals, Juan Manuel, Mosig, Juan R

“… This property, together with a multilevel matrix decomposition algorithm (MLMDA) implementation in which the MLMDA blocks are equal to the IFS generating shape, is used…”
Get full text

On MLMDA/Butterfly Compressibility of Inverse Integral Operators by Guo, Han, Hu, Jun, Michielssen, Eric

“…The multilevel matrix decomposition algorithm (MLMDA) is shown to permit effective compression of inverse integral operators pertinent to the analysis of scattering from electrically large structures…”
Get full text

Multilevel approaches for FSAI preconditioning by Magri, Victor A. P., Franceschini, Andrea, Ferronato, Massimiliano, Janna, Carlo

“…Summary Factorized sparse approximate inverse (FSAI) preconditioners are robust algorithms for symmetric positive matrices, which are particularly attractive…”
Get full text

Multidimensional ESPRIT for Damped and Undamped Signals: Algorithm, Computations, and Perturbation Analysis by Sahnoun, Souleymen, Usevich, Konstantin, Comon, Pierre

“… N-D ESPRIT algorithm is based on low-rank decomposition of multilevel Hankel matrices formed by the N-D data…”
Get full text

An Efficient and Effective Preconditioner for the Discontinuous Galerkin Domain Decomposition Method of Surface Integral Equation by Xin, Xi-Min, Gao, Hong-Wei, Wang, Shu, Peng, Zhen, Sheng, Xin-Qing

“… The RAS preconditioning is implemented efficiently using an oct-tree structure derived from the multilevel fast multipole algorithm (MLFMA…”
Get full text

Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas by Parron, J., Romeu, J., Rius, J.M., Mosig, J.R.

“… This property, together with a multilevel matrix decomposition algorithm (MLMDA) implementation in which the MLMDA blocks are equal to the IFS generating shape, is used…”
Get full text

Robust grid-based computation of H-matrix blocks' low-rank approximation for vector basis functions by Kelley, Jon T., Yilmaz, Ali, Brick, Yaniv

“… Specifically, a recently-introduced fast multilevel LRA algorithm, which uses truncated singular-value decompositions of matrices corresponding to interactions between basis-functions and proxy grids…”
Get full text

Vandermonde Decomposition of Multilevel Toeplitz Matrices With Application to Multidimensional Super-Resolution by Yang, Zai, Xie, Lihua, Stoica, Petre

“…; however, a fundamental question has remained unresolved as to whether an analog of the Vandermonde decomposition holds for multilevel Toeplitz matrices in the MD case…”
Get full text

Multilevel Fast Multipole Algorithm-Based Direct Solution for Analysis of Electromagnetic Problems by Jiang, Zhaoneng, Sheng, Yijun, Shen, Songge

“… The method is based on the multilevel compressed block decomposition (MLCBD) algorithm. Previously, the matrix filling procedure of the MLCBD is based on the matrix decomposition algorithm-singular value decomposition (MDA-SVD) method…”
Get full text

Application of the multilevel compressed block decomposition to electromagnetic problems analysis based on FETD method by Ding, Dazhi Z., Niu, Rongxin X., Jiang, Zhaoneng N., Chen, Rushan S.

“…ABSTRACT In this article, the multilevel compressed block decomposition algorithm (MLCBD…”
Get full text