In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

The Lagrange interpolation method is a polynomial interpolation technique used to approximate a function's values between given data points. It constructs a polynomial by taking a weighted sum of ...

Abstract: We introduce a new class of quadratic functions based on a hierarchy of linear time-varying (LTV) dynamical systems. These quadratic functions in the higher order space can be also seen as a ...

Abstract: This study presents a relaxation method for second-order matrix-valued multivariate polynomial inequalities(SMMPI), with a specific application to the ...

We consider, in an abstract setting, an instance of the Coleman-Gurtin model for heat conduction with memory, that is, the Volterra integro-differential equation ${\partial _t}u(t) - \beta \Delta u(t) ...