Cubic spline interpolation is performed by passing through all the given data points, while the points between the data points are cubic. Therefore we define a piecewise cubic function between the ...

Omar Kayyám's Geometric solution to cubic equation. To solve the third-degree equation x^3 + a^2x = b Khayyám constructed the parabola x^2 = ay, a circle with diameter b/a^2, and a vertical line ...

Abstract: This paper focuses on regularisation methods using models up to the third order to search for up to second-order critical points of a finite-sum minimisation problem. The variant presented ...