On the Hadamard Product of Balancing Matrix and Balancing Matrix

Volume: 5 Number: 2 December 1, 2015
  • P. K. Ray
  • S. Swain
EN

On the Hadamard Product of Balancing Matrix and Balancing Matrix

Abstract

In this paper, the matrix Q n B ◦ Q −n B which is the Hadamard product of both balancing Q n B matrix and balancing Q −n B matrix is introduced. Some properties of the Hadamard product of these matrices are investigated. A different coding and decoding method based on the application of the Hadamard product of balancing Q n B matrix and balancing Q −n B matrix is also considered

Keywords

References

  1. Behera, A. and Panda, G.K., (1999), On the square roots of triangular numbers, 37(2), Fibonacci Quart., pp. 98-105.
  2. B`erczes, A., Liptai, K. and Pink, I., (2010), On generalized balancing numbers, Fibonacci Quart., (2), pp. 121-128.
  3. Horn, R.A. and Johnson, C.A., (1985), Matrix Analysis, Cambridge University Press, New York.
  4. Keskin R. and Karaatly O., (2012), Some new properties of balancing numbers and square triangular numbers, J.Integer Seq., 15(1), pp. 12.1.4.
  5. Liptai, K., Fibonacci balancing numbers, (2004), Fibonacci Quart., 42(4), pp. 330-340.
  6. Liptai, K., Lucas balancing numbers, (2006), Acta Math. Univ. Ostrav., 14(1), pp. 43-47.
  7. Liptai, K., Luca, F., Pinter A. and Szalay L. , (2009), Generalized balancing numbers, Indag. Math.(N. S.), 20, pp. 87-100.
  8. Olajos, P., (2010), Properties of balancing, cobalancing and generalized balancing numbers, Ann. Math. Inform. , 37, pp. 125-138.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

P. K. Ray This is me

S. Swain This is me

Publication Date

December 1, 2015

Submission Date

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Acceptance Date

-

Published in Issue

Year 2015 Volume: 5 Number: 2

APA
Ray, P. K., & Swain, S. (2015). On the Hadamard Product of Balancing Matrix and Balancing Matrix. TWMS Journal of Applied and Engineering Mathematics, 5(2), 201-207. https://izlik.org/JA83CN82DY
AMA
1.Ray PK, Swain S. On the Hadamard Product of Balancing Matrix and Balancing Matrix. JAEM. 2015;5(2):201-207. https://izlik.org/JA83CN82DY
Chicago
Ray, P. K., and S. Swain. 2015. “On the Hadamard Product of Balancing Matrix and Balancing Matrix”. TWMS Journal of Applied and Engineering Mathematics 5 (2): 201-7. https://izlik.org/JA83CN82DY.
EndNote
Ray PK, Swain S (December 1, 2015) On the Hadamard Product of Balancing Matrix and Balancing Matrix. TWMS Journal of Applied and Engineering Mathematics 5 2 201–207.
IEEE
[1]P. K. Ray and S. Swain, “On the Hadamard Product of Balancing Matrix and Balancing Matrix”, JAEM, vol. 5, no. 2, pp. 201–207, Dec. 2015, [Online]. Available: https://izlik.org/JA83CN82DY
ISNAD
Ray, P. K. - Swain, S. “On the Hadamard Product of Balancing Matrix and Balancing Matrix”. TWMS Journal of Applied and Engineering Mathematics 5/2 (December 1, 2015): 201-207. https://izlik.org/JA83CN82DY.
JAMA
1.Ray PK, Swain S. On the Hadamard Product of Balancing Matrix and Balancing Matrix. JAEM. 2015;5:201–207.
MLA
Ray, P. K., and S. Swain. “On the Hadamard Product of Balancing Matrix and Balancing Matrix”. TWMS Journal of Applied and Engineering Mathematics, vol. 5, no. 2, Dec. 2015, pp. 201-7, https://izlik.org/JA83CN82DY.
Vancouver
1.P. K. Ray, S. Swain. On the Hadamard Product of Balancing Matrix and Balancing Matrix. JAEM [Internet]. 2015 Dec. 1;5(2):201-7. Available from: https://izlik.org/JA83CN82DY