Least-Squares Approximation

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Related lectures (30)

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Approximation of Data

Covers the least squares method for approximating data and handling errors.

Error Analysis and Interpolation

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Splines: Least-Squares Method

Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.

Trigonometric Interpolation: Approximation of Periodic Functions and Signals

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

Cubic Splines and Least-Squares Approximation

Explores cubic splines and least-squares approximation, focusing on interpolation methods and error analysis.

Lagrange Interpolation

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

Newton Interpolation: Basics

Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.

Polynomial Interpolation: Lagrange Interpolation

Covers Lagrange interpolation as a unique polynomial of degree 2N through 2N + 1 points.

Newton Method: Data Interpolation

Covers the Newton method for finding zeros of functions using data interpolation.

Linear Regression: Simple

Introduces simple linear regression, properties of residuals, variance decomposition, and the coefficient of determination in the context of Okun's law.