On the determinants of some kinds of circulant-type matrices with generalized number sequences

Emrullah Kirklar; Fatih Yilmaz

Special Matrices (2015)

  • Volume: 3, Issue: 1, page 235-243, electronic only
  • ISSN: 2300-7451

Abstract

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Recently, determinant computation of circulant type matrices with well-known number sequences has been studied, extensively. This study provides the determinants of the RFMLR, RLMFL, RFPrLrR and RLPrFrL circulant matrices with generalized number sequences of second order.

How to cite

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Emrullah Kirklar, and Fatih Yilmaz. "On the determinants of some kinds of circulant-type matrices with generalized number sequences." Special Matrices 3.1 (2015): 235-243, electronic only. <http://eudml.org/doc/275904>.

@article{EmrullahKirklar2015,
abstract = {Recently, determinant computation of circulant type matrices with well-known number sequences has been studied, extensively. This study provides the determinants of the RFMLR, RLMFL, RFPrLrR and RLPrFrL circulant matrices with generalized number sequences of second order.},
author = {Emrullah Kirklar, Fatih Yilmaz},
journal = {Special Matrices},
language = {eng},
number = {1},
pages = {235-243, electronic only},
title = {On the determinants of some kinds of circulant-type matrices with generalized number sequences},
url = {http://eudml.org/doc/275904},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Emrullah Kirklar
AU - Fatih Yilmaz
TI - On the determinants of some kinds of circulant-type matrices with generalized number sequences
JO - Special Matrices
PY - 2015
VL - 3
IS - 1
SP - 235
EP - 243, electronic only
AB - Recently, determinant computation of circulant type matrices with well-known number sequences has been studied, extensively. This study provides the determinants of the RFMLR, RLMFL, RFPrLrR and RLPrFrL circulant matrices with generalized number sequences of second order.
LA - eng
UR - http://eudml.org/doc/275904
ER -

References

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  3. [3] D. Bozkurt, On the determinants and inverses of circulantmatriceswith a general number sequence, arXiv:1202.1068, 2012. 
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  9. [9] P.J. Davis, Circulant Matrices, Wiley, NewYork, 1979. Zbl0418.15017
  10. [10] Z. L. Jiang and Z. X. Zhou, Circulant Matrices, Chengdu Technology University Publishing Company, Chengdu, 1999. 
  11. [11] T. Xu, Z. Jiang, Z Jiang, Explicit determinants of the RFPrLrR circulant and RLPrFrL circulant matrices involving some famous numbers, Abstr. Appl. Anal., 2014, Article ID 647030, 9 p. 
  12. [12] Y. Gao, Z. Jiang, Y. Gong, On determinants and inverses of skew circulant and skew circulant matrices with Fibonacci and Lucas numbers, WSEAS Trans. Math., 2013, 12, 472-481. 
  13. [13] X. Jiang, K. Hong, Exact determinants of some special circulant matrices involving four kinds of famous numbers, Abstr. Appl. Anal., 2014, Article ID 273680, 12 p. 
  14. [14] Z. Jiang, J. Li, N. Shen, On the explicit determinants and singularities of r-circulant and left r-circulant matrices with some famous numbers, WSEAS Trans. Math.,2013, 12, 341-351. 

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