Factorizations of Some Variants of a Statistical Matrix

Year 2024, Volume: 16 Issue: 1, 229 - 239, 30.06.2024

Gonca Kızılaslan Harun Şahin

https://doi.org/10.47000/tjmcs.1428063

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

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