On Polar Decomposition of Dual Matrices

V. Bhagyalakshmi; T. Kurmayya

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arXiv · 2607.09302

On Polar Decomposition of Dual Matrices

V. Bhagyalakshmi·T. Kurmayya

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Abstract

A number of the form $a_s+a_d \epsilon$, where $a_s, a_d \in\mathbb{C}^{n \times n}$ and $\epsilon$ is an infinitesimal unit satisfying $\epsilon^2=0$, is called a dual number. A matrix with dual number entries is known as dual matrix. The objective of this article is to derive a polar decomposition of dual matrices and to study the existence and uniqueness conditions. To illustrate these results, some examples are constructed.

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V. Bhagyalakshmi, T. Kurmayya. 2026-07-10. On Polar Decomposition of Dual Matrices. https://arxiv.org/abs/2607.09302

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