## Abstract

Homotopy methods have proven to be a powerful tool for understanding the multitude of solutions provided by the coupled-cluster polynomial equations. This endeavour has been pioneered by quantum chemists that have undertaken both elaborate numerical as well as mathematical investigations. Recently, from the perspective of applied mathematics, new interest in these approaches has emerged using both topological degree theory and algebraically oriented tools. This article provides an overview of describing the latter development.

## Full Text

### Topics from this Paper

- Homotopy Methods
- Theory In Quantum Chemistry
- Topological Degree
- Mathematical Investigations
- Coupled-cluster Equations + Show 5 more

Create a personalized feed of these topics

Get Started#### Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call### Similar Papers

- Chinese Physics
- Jun 1, 2000

- Communications in Theoretical Physics
- Jun 15, 1998

- SIAM Journal on Numerical Analysis
- Dec 1, 1968

- Mathematical Problems in Engineering
- Jan 1, 2012

- Mathematics of Computation
- Oct 1, 1992

- Journal of Scientific Computing
- Jan 1, 2020

- The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Apr 1, 1991

- Systems & Control Letters
- Dec 1, 2002

- International Journal of Quantum Chemistry
- Sep 1, 1988

- Boundary Value Problems
- Mar 29, 2016

- Jan 1, 2016

- The Journal of Chemical Physics
- Aug 15, 1999

- Jan 1, 1979

- Fuzzy Sets and Systems
- Apr 1, 2010

### Molecular Physics

- Molecular Physics
- Nov 25, 2023

- Molecular Physics
- Nov 21, 2023

- Molecular Physics
- Nov 18, 2023

- Molecular Physics
- Nov 17, 2023

- Molecular Physics
- Nov 17, 2023

- Molecular Physics
- Nov 16, 2023

- Molecular Physics
- Nov 16, 2023

- Molecular Physics
- Nov 15, 2023

- Molecular Physics
- Nov 11, 2023

- Molecular Physics
- Nov 10, 2023