Suchergebnisse - multilevel matrix decomposition algorithm

  1. 1

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

    ISSN: 0895-2477, 1098-2760
    Veröffentlicht: New York John Wiley & Sons, Inc 05.08.1999
    Veröffentlicht 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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    Journal Article Verlag
  2. 2

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

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: IEEE 01.08.1996
    Veröffentlicht 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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    Journal Article
  3. 3

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

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: IEEE 01.09.2017
    Veröffentlicht 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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    Journal Article
  4. 4

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

    ISSN: 0895-2477, 1098-2760
    Veröffentlicht: New York Wiley Subscription Services, Inc., A Wiley Company 05.06.1996
    Veröffentlicht 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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    Journal Article
  5. 5

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

    ISSN: 1536-1225, 1548-5757
    Veröffentlicht: New York IEEE 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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    Journal Article
  6. 6

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

    ISSN: 0018-9464, 1941-0069
    Veröffentlicht: New York, NY IEEE 01.03.2002
    Veröffentlicht 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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    Journal Article Tagungsbericht
  7. 7

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

    ISSN: 1751-8725, 1751-8733
    Veröffentlicht: Stevenage Institution of Engineering and Technology 21.10.2011
    Veröffentlicht 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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    Journal Article
  8. 8

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

    ISBN: 1424401232, 9781424401239
    ISSN: 1522-3965
    Veröffentlicht: IEEE 2006
    “… This paper presents an optimization of the multilevel matrix decomposition algorithm (MLMDA …”
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    Tagungsbericht
  9. 9

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

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: New York IEEE 01.08.2008
    Veröffentlicht 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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    Journal Article
  10. 10

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

    ISSN: 0048-6604, 1944-799X
    Veröffentlicht: Washington Blackwell Publishing Ltd 01.04.2012
    Veröffentlicht 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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    Journal Article
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    Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas von Parrón Granados, Josep, Romeu Robert, Jordi, Rius Casals, Juan Manuel, Mosig, Juan R

    ISSN: 0018-926X
    Veröffentlicht: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 10.01.2002
    Veröffentlicht 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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    Journal Article
  12. 12

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

    ISSN: 1536-1225, 1548-5757
    Veröffentlicht: IEEE 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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    Journal Article
  13. 13

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

    ISSN: 1070-5325, 1099-1506
    Veröffentlicht: Oxford Wiley Subscription Services, Inc 01.10.2018
    Veröffentlicht 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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    Journal Article
  14. 14

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

    ISSN: 1053-587X, 1941-0476
    Veröffentlicht: IEEE 15.11.2017
    Veröffentlicht 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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    Journal Article
  15. 15

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

    ISSN: 1536-1225, 1548-5757
    Veröffentlicht: New York IEEE 01.10.2023
    Veröffentlicht 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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    Journal Article
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    Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas von Parron, J., Romeu, J., Rius, J.M., Mosig, J.R.

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: New York IEEE 01.08.2003
    Veröffentlicht 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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    Journal Article
  17. 17

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

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: New York IEEE 01.01.2023
    Veröffentlicht 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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    Journal Article
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    Vandermonde Decomposition of Multilevel Toeplitz Matrices With Application to Multidimensional Super-Resolution von Yang, Zai, Xie, Lihua, Stoica, Petre

    ISSN: 0018-9448, 1557-9654, 1557-9654
    Veröffentlicht: New York IEEE 01.06.2016
    Veröffentlicht 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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    Journal Article
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    Multilevel Fast Multipole Algorithm-Based Direct Solution for Analysis of Electromagnetic Problems von Jiang, Zhaoneng, Sheng, Yijun, Shen, Songge

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: New York, NY IEEE 01.09.2011
    Veröffentlicht 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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    Journal Article
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    Application of the multilevel compressed block decomposition to electromagnetic problems analysis based on FETD method von Ding, Dazhi Z., Niu, Rongxin X., Jiang, Zhaoneng N., Chen, Rushan S.

    ISSN: 0895-2477, 1098-2760
    Veröffentlicht: New York Blackwell Publishing Ltd 01.03.2014
    Veröffentlicht in Microwave and optical technology letters (01.03.2014)
    “… ABSTRACT In this article, the multilevel compressed block decomposition algorithm (MLCBD …”
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    Journal Article