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Matematicheskie Zametki, 1997, Volume 62, Issue 4, Pages 619–623
DOI: https://doi.org/10.4213/mzm1644
(Mi mzm1644)
 

This article is cited in 75 scientific papers (total in 75 papers)

Brief Communications

Pseudo-skeleton approximations by matrices of maximal volume

S. A. Goreinov, N. L. Zamarashkin, E. E. Tyrtyshnikov

Institute of Numerical Mathematics, Russian Academy of Sciences
References:
Received: 29.04.1997
Revised: 10.06.1997
English version:
Mathematical Notes, 1997, Volume 62, Issue 4, Pages 515–519
DOI: https://doi.org/10.1007/BF02358985
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Goreinov, N. L. Zamarashkin, E. E. Tyrtyshnikov, “Pseudo-skeleton approximations by matrices of maximal volume”, Mat. Zametki, 62:4 (1997), 619–623; Math. Notes, 62:4 (1997), 515–519
Citation in format AMSBIB
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\paper Pseudo-skeleton approximations by matrices of maximal volume
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 4
\pages 619--623
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\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 4
\pages 515--519
\crossref{https://doi.org/10.1007/BF02358985}
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Linking options:
  • https://www.mathnet.ru/eng/mzm1644
  • https://doi.org/10.4213/mzm1644
  • https://www.mathnet.ru/eng/mzm/v62/i4/p619
  • This publication is cited in the following 75 articles:
    1. Perfect Y. Gidisu, Michiel E. Hochstenbach, “A Restricted SVD Type CUR Decomposition for Matrix Triplets”, SIAM J. Sci. Comput., 46:2 (2024), S401  crossref
    2. Yuan Chen, Mahmut Sait Okyay, Bryan M. Wong, “MISTER-T: An open-source software package for quantum optimal control of multi-electron systems on arbitrary geometries”, Computer Physics Communications, 302 (2024), 109248  crossref
    3. Matthieu Jeannin, Yuriel Núñez-Fernández, Thomas Kloss, Olivier Parcollet, Xavier Waintal, “Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime”, Phys. Rev. B, 110:3 (2024)  crossref
    4. N. S. Kapralov, A. Yu. Morozov, S. P. Nikulin, “Parallel Approximation of Multidimensional Tensors Using GPUs”, Program Comput Soft, 49:4 (2023), 295  crossref
    5. Tiangang Cui, Sergey Dolgov, Olivier Zahm, “Scalable conditional deep inverse Rosenblatt transports using tensor trains and gradient-based dimension reduction”, Journal of Computational Physics, 485 (2023), 112103  crossref
    6. T. Mach, L. Reichel, Marc Van Barel, “Adaptive cross approximation for Tikhonov regularization in general form”, Numer Algor, 92:1 (2023), 815  crossref
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    8. HanQin Cai, Longxiu Huang, Pengyu Li, Deanna Needell, “Matrix Completion With Cross-Concentrated Sampling: Bridging Uniform Sampling and CUR Sampling”, IEEE Trans. Pattern Anal. Mach. Intell., 45:8 (2023), 10100  crossref
    9. Yijin Gao, Jay Mayfield, Songting Luo, “Numerical solutions of the time‐dependent Schrödinger equation with position‐dependent effective mass”, Numerical Methods Partial, 39:4 (2023), 3222  crossref
    10. A. Erpenbeck, W.-T. Lin, T. Blommel, L. Zhang, S. Iskakov, L. Bernheimer, Y. Núñez-Fernández, G. Cohen, O. Parcollet, X. Waintal, E. Gull, “Tensor train continuous time solver for quantum impurity models”, Phys. Rev. B, 107:24 (2023)  crossref
    11. Jon T. Kelley, Ali E. Y{\i}lmaz, Yaniv Brick, “An Iterative Random Sampling Algorithm for Rapid and Scalable Estimation of Matrix Spectra”, IEEE J. Multiscale Multiphys. Comput. Tech., 8 (2023), 205  crossref
    12. Keaton Hamm, “Generalized pseudoskeleton decompositions”, Linear Algebra and its Applications, 664 (2023), 236  crossref
    13. Georgy D. Guryev, Eugene Milshteyn, Ilias I. Giannakopoulos, Riccardo Lattanzi, Lawrence L. Wald, Elfar Adalsteinsson, Jacob K. White, “MARIE 2.0: A Perturbation Matrix Based Patient-Specific MRI Field Simulator”, IEEE Trans. Biomed. Eng., 70:5 (2023), 1575  crossref
    14. Hector Lopez-Menchon, Alexander Heldring, Eduard Ubeda, Juan M. Rius, “A GPU parallel randomized CUR compression method for the Method of Moments”, Computer Physics Communications, 287 (2023), 108696  crossref
    15. Yuriel Núñez Fernández, Matthieu Jeannin, Philipp T. Dumitrescu, Thomas Kloss, Jason Kaye, Olivier Parcollet, Xavier Waintal, “Learning Feynman Diagrams with Tensor Trains”, Phys. Rev. X, 12:4 (2022)  crossref
    16. Yijin Gao, Jay Mayfield, Gang Bao, Di Liu, Songting Luo, “An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations”, Journal of Computational Physics, 463 (2022), 111272  crossref
    17. Al Mugahwi M., Cabrera Omar De la Cruz, Noschese S., Reichela L., “Functions and Eigenvectors of Partially Known Matrices With Applications to Network Analysis”, Appl. Numer. Math., 159 (2021), 93–105  crossref  isi
    18. Cai H., Hamm K., Huang L., Needell D., “Mode-Wise Tensor Decompositions: Multi-Dimensional Generalizations of Cur Decompositions”, J. Mach. Learn. Res., 22 (2021)  isi
    19. Cui T., Dolgov S., “Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports”, Found. Comput. Math., 2021  crossref  isi
    20. Mayfield J., Gao Y., Luo S., “An Asymptotic Green'S Function Method For the Wave Equation”, J. Comput. Phys., 446 (2021), 110655  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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