Least-Squares Approximation

Related lectures (30)

Page 3 of 3

Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.

Explains Lagrange interpolation, constructing polynomials passing through given points with explicit formulas and calculations.

Explores the inefficiencies of the incorrect method for polynomial interpolation.

Introduces the basics of linear regression, covering OLS approach, residuals, hat matrix, and Gauss-Markov assumptions.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Explores Lagrange interpolation for polynomial construction and introduces the definite integral.

Explores multilinear regression, variance, correlation, optimization, ANOVA, and design procedures.

Covers Lagrange interpolation, focusing on constructing polynomials that pass through given points.