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Chapter 10: Polynomial Interpolation

What is the formula for interpolation of polynomials?
Typical problems in this class include polynomial interpolation Φ(x;a0,,an) = a0 + a1x + a2x2 + ··· + anxn, as well as trigonometric interpolation Φ(x;a0,,an) = a0 + a1exi + a2e2xi + ··· + anenxi (i2 = −1).
What is the interpolation polynomial function in Matlab?
Matlab Built-in Polynomial Interpolation: polyfit
The basic function-call is p=polyfit(x,y,m), where x is a vector of �� independent values, y is the corresponding vector of �� dependent values and �� = �� − 1.
The function returns the coefficient vector of the (�� − 1)-order interpolation polynomial.
What is polynomial interpolation in Python?
Interpolation with python functions
The interpolant polynomial can be computed with numpy function polyfit if we choose as polynomial degree the number of the nodes minus one.
The output is the coefficients of the polynomial, from an to a0.
undefined. 1 Introduction to Polynomial Interpolation
For example, if we have two data points, then we can fit a polynomial of degree 1 (i.e., a linear function) between the two points.
If we have three data points, then we can fit a polynomial of the second degree (a parabola) that passes through the three points.

What is the formula for interpolation of polynomials?