2b- Solved problems for quadratic interpolation
Solved problems for quadratic interpolation. In both two solved problems three points, are given and used to get the quadratic interpolation function.
Numerical analysis
The numerical analysis falls into several subdivisions, as follows
1-Introduction to numerical analysis.
2-Solving non-linear equations.
3-Solving Linear equations.
4-Interpolation.
2a- Easy introduction to quadratic interpolation.
Quadratic interpolation, how to derive the expression of it? The Vandermonde matrix and how to get its inverse value and determinant value?
1- Easy introduction to the definition of Interpolation.
An introduction to interpolation and linear interpolation, what are polynomials, and how can be used as a tool to make a linear interpolation?
5A- Second solved problem-LU decomposition-3×3 matrix.
The second solved problem-LU decomposition for the 3×3 matrices, how to get x,y,z values for three simultaneous equations?
5- First solved problem-LU decomposition for the 3×3 matrix
This post illustrates the first solved problem-LU decomposition for the 3×3 matrix. Step by step guide to solve 3 simultaneous equations by the LU method?
4-Derive the expression for L-U values for-3×3 matrix.
Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix using Doolittle’s method?
3-How to solve for x-y by L-U Decomposition?
How to solve for x-y by L-U Decomposition? Illustration by Gauss elimination for L and U matrices.
2- Easy illustration for LU decomposition for 2×2 matrix
How to use the Lu decomposition method for a 2×2 matrix? A step-by-step guide to find L and U values?