Year: 2025
Type: article
Abstract: It is known that a $n\times n$ matrix defined over a field can be expressed as a product of diagonalizable matrices. In this work, this problem is studied for triangular matrices of sizes $n\times n$ ($n\in\mathbb{N}$) and $\mathbb{N}\times\mathbb{N}$. It is proved that each such matrix that is invertible can be expressed as a product of at most four diagonalizable triangular matrices. Additionally, some partial results for noninvertible matrices are presented.
Author: Roksana Słowik
Institution: Silesian University of Technology
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414596128
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