# Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms

arXiv: https://arxiv.org/abs/1905.12295 · HTML: https://mlsanity.com/paper/1905.12295/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 May 2019.

## Built on by (most cited first, 1 of 1)

- [Alternating Mahalanobis Distance Minimization for Stable and Accurate CP Decomposition](https://mlsanity.com/paper/2204.07208/) (2022)

## Abstract (arXiv)

We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors by unitary transformations. We provide weak convergence results, and prove local linear convergence of this algorithm.The convergence results also apply to the case of real-valued tensors.