Determinant evaluations for binary circulant matrices

Christos Kravvaritis

Special Matrices (2014)

  • Volume: 2, Issue: 1, page 187-199, electronic only
  • ISSN: 2300-7451

Abstract

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Determinant formulas for special binary circulant matrices are derived and a new open problem regarding the possible determinant values of these specific circulant matrices is stated. The ideas used for the proofs can be utilized to obtain more determinant formulas for other binary circulant matrices, too. The superiority of the proposed approach over the standard method for calculating the determinant of a general circulant matrix is demonstrated.

How to cite

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Christos Kravvaritis. "Determinant evaluations for binary circulant matrices." Special Matrices 2.1 (2014): 187-199, electronic only. <http://eudml.org/doc/269493>.

@article{ChristosKravvaritis2014,
abstract = {Determinant formulas for special binary circulant matrices are derived and a new open problem regarding the possible determinant values of these specific circulant matrices is stated. The ideas used for the proofs can be utilized to obtain more determinant formulas for other binary circulant matrices, too. The superiority of the proposed approach over the standard method for calculating the determinant of a general circulant matrix is demonstrated.},
author = {Christos Kravvaritis},
journal = {Special Matrices},
keywords = {Determinant; binary circulant matrices; determinant},
language = {eng},
number = {1},
pages = {187-199, electronic only},
title = {Determinant evaluations for binary circulant matrices},
url = {http://eudml.org/doc/269493},
volume = {2},
year = {2014},
}

TY - JOUR
AU - Christos Kravvaritis
TI - Determinant evaluations for binary circulant matrices
JO - Special Matrices
PY - 2014
VL - 2
IS - 1
SP - 187
EP - 199, electronic only
AB - Determinant formulas for special binary circulant matrices are derived and a new open problem regarding the possible determinant values of these specific circulant matrices is stated. The ideas used for the proofs can be utilized to obtain more determinant formulas for other binary circulant matrices, too. The superiority of the proposed approach over the standard method for calculating the determinant of a general circulant matrix is demonstrated.
LA - eng
KW - Determinant; binary circulant matrices; determinant
UR - http://eudml.org/doc/269493
ER -

References

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