Suchergebnisse - multilevel matrix decomposition algorithm
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Multilevel matrix decomposition algorithm for analysis of electrically large electromagnetic problems in 3-D
ISSN: 0895-2477, 1098-2760Veröffentlicht: New York John Wiley & Sons, Inc 05.08.1999Veröffentlicht in Microwave and optical technology letters (05.08.1999)“… The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3‐D for the solution of large electromagnetic problems …”
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A multilevel matrix decomposition algorithm for analyzing scattering from large structures
ISSN: 0018-926X, 1558-2221Veröffentlicht: IEEE 01.08.1996Veröffentlicht in IEEE transactions on antennas and propagation (01.08.1996)“… A multilevel algorithm is presented for analyzing scattering from electrically large surfaces …”
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A Butterfly-Based Direct Integral-Equation Solver Using Hierarchical LU Factorization for Analyzing Scattering From Electrically Large Conducting Objects
ISSN: 0018-926X, 1558-2221Veröffentlicht: IEEE 01.09.2017Veröffentlicht in IEEE transactions on antennas and propagation (01.09.2017)“… (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 …”
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Incorporation of a multilevel matrix decomposition algorithm in the finite-element-boundary-integral analysis of scattering from 2D coated conducting bodies
ISSN: 0895-2477, 1098-2760Veröffentlicht: New York Wiley Subscription Services, Inc., A Wiley Company 05.06.1996Veröffentlicht in Microwave and optical technology letters (05.06.1996)“… The dominant cost of multiplying the coefficient matrix resulting from the finite …”
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An HSS Matrix-Inspired Butterfly-Based Direct Solver for Analyzing Scattering From Two-Dimensional Objects
ISSN: 1536-1225, 1548-5757Veröffentlicht: New York IEEE 2017Veröffentlicht in IEEE antennas and wireless propagation letters (2017)“… A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering from two-dimensional objects is presented. The solver leverages …”
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Application of the multilevel matrix decomposition algorithm to the frequency analysis of large microstrip antenna arrays
ISSN: 0018-9464, 1941-0069Veröffentlicht: New York, NY IEEE 01.03.2002Veröffentlicht in IEEE transactions on magnetics (01.03.2002)“… We propose the multilevel matrix decomposition algorithm (MLMDA) to carry out this purpose efficiently …”
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Fast iterative solution of integral equation with matrix decomposition algorithm and multilevel simple sparse method
ISSN: 1751-8725, 1751-8733Veröffentlicht: Stevenage Institution of Engineering and Technology 21.10.2011Veröffentlicht in IET microwaves, antennas & propagation (21.10.2011)“… 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 …”
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Improving the Performance of the Multilevel Matrix Decomposition Algorithm for 2.5-D Structures. Application to metamaterials
ISBN: 1424401232, 9781424401239ISSN: 1522-3965Veröffentlicht: IEEE 2006Veröffentlicht in 2006 IEEE Antennas and Propagation Society International Symposium (2006)“… This paper presents an optimization of the multilevel matrix decomposition algorithm (MLMDA …”
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Fast Iterative Solution of Integral Equations With Method of Moments and Matrix Decomposition Algorithm - Singular Value Decomposition
ISSN: 0018-926X, 1558-2221Veröffentlicht: New York IEEE 01.08.2008Veröffentlicht in IEEE transactions on antennas and propagation (01.08.2008)“… 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 …”
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Novel postcompression technique in the matrix decomposition algorithm for the analysis of electromagnetic problems
ISSN: 0048-6604, 1944-799XVeröffentlicht: Washington Blackwell Publishing Ltd 01.04.2012Veröffentlicht in Radio science (01.04.2012)“… In order to efficiently analyze an electromagnetic scattering problem with the surface integral equation approach, the matrix decomposition algorithm (MDA …”
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Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas
ISSN: 0018-926XVeröffentlicht: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 10.01.2002Veröffentlicht in IEEE transactions on antennas and propagation (10.01.2002)“… 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 …”
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On MLMDA/Butterfly Compressibility of Inverse Integral Operators
ISSN: 1536-1225, 1548-5757Veröffentlicht: IEEE 2013Veröffentlicht in IEEE antennas and wireless propagation letters (2013)“… 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 …”
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Multilevel approaches for FSAI preconditioning
ISSN: 1070-5325, 1099-1506Veröffentlicht: Oxford Wiley Subscription Services, Inc 01.10.2018Veröffentlicht in Numerical linear algebra with applications (01.10.2018)“… Summary Factorized sparse approximate inverse (FSAI) preconditioners are robust algorithms for symmetric positive matrices, which are particularly attractive …”
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Multidimensional ESPRIT for Damped and Undamped Signals: Algorithm, Computations, and Perturbation Analysis
ISSN: 1053-587X, 1941-0476Veröffentlicht: IEEE 15.11.2017Veröffentlicht in IEEE transactions on signal processing (15.11.2017)“… N-D ESPRIT algorithm is based on low-rank decomposition of multilevel Hankel matrices formed by the N-D data …”
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An Efficient and Effective Preconditioner for the Discontinuous Galerkin Domain Decomposition Method of Surface Integral Equation
ISSN: 1536-1225, 1548-5757Veröffentlicht: New York IEEE 01.10.2023Veröffentlicht in IEEE antennas and wireless propagation letters (01.10.2023)“… The RAS preconditioning is implemented efficiently using an oct-tree structure derived from the multilevel fast multipole algorithm (MLFMA …”
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Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas
ISSN: 0018-926X, 1558-2221Veröffentlicht: New York IEEE 01.08.2003Veröffentlicht in IEEE transactions on antennas and propagation (01.08.2003)“… 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 …”
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Robust grid-based computation of H-matrix blocks' low-rank approximation for vector basis functions
ISSN: 0018-926X, 1558-2221Veröffentlicht: New York IEEE 01.01.2023Veröffentlicht in IEEE transactions on antennas and propagation (01.01.2023)“… 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 …”
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Vandermonde Decomposition of Multilevel Toeplitz Matrices With Application to Multidimensional Super-Resolution
ISSN: 0018-9448, 1557-9654, 1557-9654Veröffentlicht: New York IEEE 01.06.2016Veröffentlicht in IEEE transactions on information theory (01.06.2016)“… ; 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 …”
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Multilevel Fast Multipole Algorithm-Based Direct Solution for Analysis of Electromagnetic Problems
ISSN: 0018-926X, 1558-2221Veröffentlicht: New York, NY IEEE 01.09.2011Veröffentlicht in IEEE transactions on antennas and propagation (01.09.2011)“… 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 …”
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Application of the multilevel compressed block decomposition to electromagnetic problems analysis based on FETD method
ISSN: 0895-2477, 1098-2760Veröffentlicht: New York Blackwell Publishing Ltd 01.03.2014Veröffentlicht in Microwave and optical technology letters (01.03.2014)“… ABSTRACT In this article, the multilevel compressed block decomposition algorithm (MLCBD …”
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