A rational canonical form algorithm

Keith R. Matthews

Mathematica Bohemica (1992)

  • Volume: 117, Issue: 3, page 315-324
  • ISSN: 0862-7959

Abstract

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We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.

How to cite

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Matthews, Keith R.. "A rational canonical form algorithm." Mathematica Bohemica 117.3 (1992): 315-324. <http://eudml.org/doc/29440>.

@article{Matthews1992,
abstract = {We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.},
author = {Matthews, Keith R.},
journal = {Mathematica Bohemica},
keywords = {rational canonical form; Jordan canonical form; algorithm; rational canonical form; Jordan canonical for; algorithm},
language = {eng},
number = {3},
pages = {315-324},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A rational canonical form algorithm},
url = {http://eudml.org/doc/29440},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Matthews, Keith R.
TI - A rational canonical form algorithm
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 3
SP - 315
EP - 324
AB - We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.
LA - eng
KW - rational canonical form; Jordan canonical form; algorithm; rational canonical form; Jordan canonical for; algorithm
UR - http://eudml.org/doc/29440
ER -

References

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  1. S.H. Friedberg A.J. Insel L.E. Spence, Linear Algebгa, Prentice-Hall, New Jersey, 1979. (1979) MR0548724
  2. N. Jacobson, Basic algebra I, W. H. Freeman and Company, 1974. (1974) Zbl0284.16001MR0356989
  3. C.C. MacDuffee, The theoгy of matrices, Chelsea Publishing Company, New York, 1946. (1946) 
  4. L. Mirsky, [unknown], Oxfoгd University Press, London, 1961. (1961) Zbl0101.25501
  5. M. Pearl, Matrix theoгy and finite mathematics, McGraw-Hill, New York, 1973. (1973) MR0335530
  6. S. Perlis, Theoгy of matгices, Addison-Wesley, Reading, Massachusetts, 1958, Second edition. (1958) 
  7. J. Rotman, The theory of groups, Allyn and Bacon, Boston, 1973, Second edition. (1973) Zbl0262.20001
  8. H. Väliaho, 10.2307/2322285, Amer. Math. Monthly 95 (1986), 711-714. (1986) MR0863972DOI10.2307/2322285

NotesEmbed ?

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