very fast and very efficient numerical solver of polynomial equations of fourth degree

What is it about?

in this paper a novel algorithm for solving polynomial equations of fourth degree (i.e. quartics) is proposed, which is very accurate, robust and much more efficient than existing approaches.

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Photo by Antoine Dautry on Unsplash

Photo by Antoine Dautry on Unsplash

Why is it important?

The need to solve a quartic equation is rather ubiquitous in the scientific literature. The overwhelming majority of scientific papers that resort to the solution of a quartic equation are in physics, mathematics, engineering, and computer science, but there are also many examples in medicine, social sciences, and psychology. Nevertheless, analytical solutions, known since 16th century are rather inaccurate and state-of-the-art numerical methods are rather inefficient, i.e. rather slow in finding the solutions. Hence, a quartic equation solver, which is robust, accurate and efficient, is a very valuable tool for a wide spectrum of scientific applications.