Special Real and Dual Matrices with Hadamard Product

Yıl 2021, Cilt: 6 Sayı: 2, 127 - 134, 31.08.2021

Ali Dağdeviren , Ferhat Kürüz

https://doi.org/10.30931/jetas.979932

Cited By: 4

Öz

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.

Anahtar Kelimeler

Hadamard product, dual numbers, dual matrices

Kaynakça

• [1] Million, E., “The Hadamard product”, Course Notes 3.6 (2007).
• [2] Horn, R. A., Zai Y., “Rank of a Hadamard product”, Linear Algebra and its Applications 591 (2020) : 87-98.
• [3] Styan, G. P. H., “Hadamard products and öultivariate statistical analysis”, Linear Algebra Appl. 6 (1973) : 217-240.
• [4] Horn, R. A., Johnson C. R., “Topics in matrix analysis”, Cambridge University Press, (1994).
• [5] Bernstein, D. S., “Matrix mathematics”, Princeton University Press, (2009).
• [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] 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] Pennestrì, E., Stefanelli R., “Linear algebra and numerical algorithms using dual numbers”, Multibody System Dynamics 18(3) (2007) : 323-344.
• [9] Fischer, I. S., “Dual-number methods in kinematics, statics and dynamics”, Routledge, (2017).
• [10] Dagdeviren, A., “Lorentz matris carpimi ve dual matrislerin ozellikleri”, Master’s Thesis, Yildiz Technical University, (2013).