Research Article

Special Real and Dual Matrices with Hadamard Product

Volume: 6 Number: 2 August 31, 2021
EN

Special Real and Dual Matrices with Hadamard Product

Abstract

In this paper, firstly we will present basic properties of Hadamard matrix product and Dual matrices to built necessary background. Then we will define special real and dual matrices under this matrix product. Finally, some theorems regarding this matrix product will be given.

Keywords

References

  1. [1] Million, E., “The Hadamard product”, Course Notes 3.6 (2007).
  2. [2] Horn, R. A., Zai Y., “Rank of a Hadamard product”, Linear Algebra and its Applications 591 (2020) : 87-98.
  3. [3] Styan, G. P. H., “Hadamard products and öultivariate statistical analysis”, Linear Algebra Appl. 6 (1973) : 217-240.
  4. [4] Horn, R. A., Johnson C. R., “Topics in matrix analysis”, Cambridge University Press, (1994).
  5. [5] Bernstein, D. S., “Matrix mathematics”, Princeton University Press, (2009).
  6. [6] Liu, S., Gotz T., “Hadamard, Khatri-Rao, Kronecker and other matrix products”, International Journal of Information and Systems Sciences 4(1) (2008) : 160-177.
  7. [7] Veldkamp G. R., “On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics”, Mechanism and Machine Theory 11 (1976) : 141-156.
  8. [8] Pennestrì, E., Stefanelli R., “Linear algebra and numerical algorithms using dual numbers”, Multibody System Dynamics 18(3) (2007) : 323-344.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 31, 2021

Submission Date

July 7, 2021

Acceptance Date

August 28, 2021

Published in Issue

Year 2021 Volume: 6 Number: 2

APA
Dağdeviren, A., & Kürüz, F. (2021). Special Real and Dual Matrices with Hadamard Product. Journal of Engineering Technology and Applied Sciences, 6(2), 127-134. https://doi.org/10.30931/jetas.979932
AMA
1.Dağdeviren A, Kürüz F. Special Real and Dual Matrices with Hadamard Product. JETAS. 2021;6(2):127-134. doi:10.30931/jetas.979932
Chicago
Dağdeviren, Ali, and Ferhat Kürüz. 2021. “Special Real and Dual Matrices With Hadamard Product”. Journal of Engineering Technology and Applied Sciences 6 (2): 127-34. https://doi.org/10.30931/jetas.979932.
EndNote
Dağdeviren A, Kürüz F (August 1, 2021) Special Real and Dual Matrices with Hadamard Product. Journal of Engineering Technology and Applied Sciences 6 2 127–134.
IEEE
[1]A. Dağdeviren and F. Kürüz, “Special Real and Dual Matrices with Hadamard Product”, JETAS, vol. 6, no. 2, pp. 127–134, Aug. 2021, doi: 10.30931/jetas.979932.
ISNAD
Dağdeviren, Ali - Kürüz, Ferhat. “Special Real and Dual Matrices With Hadamard Product”. Journal of Engineering Technology and Applied Sciences 6/2 (August 1, 2021): 127-134. https://doi.org/10.30931/jetas.979932.
JAMA
1.Dağdeviren A, Kürüz F. Special Real and Dual Matrices with Hadamard Product. JETAS. 2021;6:127–134.
MLA
Dağdeviren, Ali, and Ferhat Kürüz. “Special Real and Dual Matrices With Hadamard Product”. Journal of Engineering Technology and Applied Sciences, vol. 6, no. 2, Aug. 2021, pp. 127-34, doi:10.30931/jetas.979932.
Vancouver
1.Ali Dağdeviren, Ferhat Kürüz. Special Real and Dual Matrices with Hadamard Product. JETAS. 2021 Aug. 1;6(2):127-34. doi:10.30931/jetas.979932

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