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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.

9- Crout’s LU decomposition for a 3×3 matrix-Option 1

October 19, 2026April 1, 2024 by Maged kamel
Crout's LU decomposition for a 3x3 matrix-Option 1

How to drive Crout’s LU decomposition for a 3×3 matrix-option-1? Step-by-step introduction to Crout’s LU decomposition for a 3×3 matrix.

Categories Solution of linear systems Tags Crout's LU decomposition for a 3x3 matrix-option 1

8-Introduction to Crout’s LU decomposition for a 2×2 Matrix.

October 21, 2026March 5, 2024 by Maged kamel
Brief description of post 8 content.

How to drive Crout’s LU decomposition for a 2×2 matrix? Step-by-step introduction to Crout’s LU decomposition with a solved problem.

Categories Solution of linear systems Tags Introduction to Crout's LU decomposition for a 2x2 matrix

7-A Solved Problem 9-5: LU decomposition.

October 21, 2026February 25, 2024 by Maged kamel
A Solved problem 9-5 LU decomposition.

Solved problem 9-5 LU decomposition from reference book Numerical methods for engineers. We will verify our solution with the author’s solution.

Categories Solution of linear systems Tags Solved problem 9.5 LU decomposition.

6a- Easy approach to permutation matrix-Part 2

October 21, 2026February 10, 2024 by Maged kamel
Brief illustration of Post 6a numeric linear

In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.

Categories Solution of linear systems Tags Permutation matrices for a 3x3 matrix.

6- Easy Introduction to Permutation Matrix

October 21, 2026February 7, 2024 by Maged kamel
An introduction to permutation matrix

The post includes an introduction to permutation matrix for both 2×2 and 3×3 matrices. How to change the arrangement of rows and columns for matrices?

Categories Solution of linear systems Tags Introduction to Permutation matrix.

5c- Solved Problem for x-y-z values by LU decomposition.

October 21, 2026February 3, 2024 by Maged kamel
Solved problem for x-y-z values by LU decomposition.

The solved problem for x-y-z values by using the LU decomposition. for three simultaneous equations. Step by step illustration is explained.

Categories Solution of linear systems Tags Solved problem for x-y-z values by LU decomposition

5b-Find the three unknowns for the Second solved Problem

October 21, 2026February 2, 2024 by Maged kamel
The content of post 5b-numerical linear.

Find the three unknowns for the Second solved problem. Two method to be used to solve for x1, x2 and x3.

Categories Solution of linear systems Tags Find the three unknowns for the second solved problem

2D-Solved problems for Newton-divided differences.

September 23, 2026October 9, 2021 by Maged kamel
Brief illustration - post 2d-numerical-interpolation

Two Solved problems for Newton-divided differences are given for more information about the method.

Categories Introduction to Interpolation Tags Solved problems for Newton-divided differences.
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