# An Efficient Nonlinear Fourier Transform Algorithm for Detection of Eigenvalues from Continuous Spectrum

## TL;DR

This paper introduces a fast and robust nonlinear Fourier transform algorithm that effectively detects eigenvalues from the continuous spectrum, improving reliability over existing methods.

## Contribution

The paper presents a novel NFT algorithm that enhances eigenvalue detection from the continuous spectrum, outperforming existing algorithms in speed and robustness.

## Key findings

- Algorithm outperforms existing NFT methods
- Detects eigenvalues from the continuous spectrum more reliably
- Provides a faster and more robust eigenvalue detection method

## Abstract

We present an efficient, fast and robust Nonlinear Fourier Transform (NFT) algorithm to detect eigenvalues of the discrete spectrum. It outperforms other known NFT algorithms as it detects the eigenvalues from the continuous spectrum, the numerically more robust part of the nonlinear spectrum.