Factorizations of Some Variants of a Statistical Matrix

Authors : Gonca Kızılaslan, Harun Şahin

Pages : 229-239

Doi:10.47000/tjmcs.1428063

View : 93 | Download : 74

Publication Date : 2024-06-30

Article Type : Research Paper

Abstract :In this article, we define eight orthogonal matrices which are strongly related with the well known Helmert matrix. We obtain $LU$ factorizations by giving explicit closed-form formulas of the entries of $L$ and $U$. We also factor matrices by expressing them in terms of diagonal matrices.
Keywords : Factorization of matrices, Matrix inversion, Helmert matrix, Orthogonal matrices