Polynomial Systems

Polynomial systems refer to mathematical equations that involve polynomials, which are expressions made up of variables and coefficients combined using addition, subtraction, multiplication, and non-negative integer exponents. These systems consist of multiple polynomial equations that can be solved simultaneously to find the values of the variables that satisfy all equations at once. They are essential in various fields, including engineering, computer science, and economics, as they help in modeling and solving complex problems, such as optimization and data fitting. The solutions can be simple, like a single point, or complex, involving multiple values or shapes in higher dimensions.