Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices

Vítězslav Veselý

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 3, page 149-161
  • ISSN: 0044-8753

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Veselý, Vítězslav. "Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices." Archivum Mathematicum 025.3 (1989): 149-161. <http://eudml.org/doc/18270>.

@article{Veselý1989,
author = {Veselý, Vítězslav},
journal = {Archivum Mathematicum},
keywords = {generalized Kronecker product of matrices; fast mixed-radix transform; fast Fourier transform; factorization of matrices},
language = {eng},
number = {3},
pages = {149-161},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices},
url = {http://eudml.org/doc/18270},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Veselý, Vítězslav
TI - Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 3
SP - 149
EP - 161
LA - eng
KW - generalized Kronecker product of matrices; fast mixed-radix transform; fast Fourier transform; factorization of matrices
UR - http://eudml.org/doc/18270
ER -

References

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  1. E. O. Brigham, The Fast Fourier Transform, Prentice-Hall, Englewood Cliffs, New Jersey, 1974. (1974) Zbl0375.65052
  2. V. Čížek, Diskrétní Fourierova transformace a její použití, SNTL, Praha, 1981 (Czech). (1981) 
  3. Eh. E. Dagman, G. A. Kukharev, Bystrye diskretnye ortogonaľnye preobrazovaniya, (Fast Discrete Orthogonal Transformations). Izdateľstvo ,,Nauka", Sibirskoe otdelenie, Novosibirsk, 1983 (Russian). (1983) Zbl0574.65146MR0743898
  4. D. F. Elliott, K. R. Rao, Fast Transforms, Algorithms, Analyses, Applications, Academic Press, New York, London, 1982. (1982) Zbl0562.65097MR0696936
  5. I. J. Good, The Relationship Between Two Fast Fourier Transforms, IEEE Trans. C-20 (1971), 310-317. (1971) Zbl0214.42801
  6. P. Lancaster, Theory of Matrices, Academic Press, New York, London, 1969. (1969) Zbl0186.05301MR0245579
  7. H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithms, 2-nd ed., Springer-Verlag Berlin, Heidelberg, New York, 1982. (1982) Zbl0476.65097MR0606376
  8. V. A. Ponomarev, O. V. Ponomareva, A Modification of Discrete Fourier Transform for Solution of Interpolation and Functional Convolution Problems, Radiotekhn. i Elektron. 29 (1984), No. 8, 1561-1570 (Russian); translated as Radio Engrg. Electron. Phys. 29 (1984), No. 9, 79-88. (1984) MR0783805

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