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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.

10-Solved problems for 3×3 matrix by Crout’s LU-option 1.

September 18, 2025November 1, 2024 by Maged kamel
Two solved problems for The Crout's LU decomposition.

Two solved problems for 3×3 matrix by Crout’s LU decomposition. Option 1 is used for which the matrix is converted to a lower matrix.

Categories Solution of linear systems Tags solved problems for (3x3) matrix by Crout's LU decomposition.

9A- A Second option for Crout’s LU decomposition-3×3 matrix

September 18, 2025October 29, 2024 by Maged kamel
brief illustration post 9 numerical linear

A Second option for Crout’s LU decomposition-3×3 matrix. How to covert the A matrix to an upper matrix? How to get the values of L and U matrices?

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

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

September 18, 2025April 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.

September 18, 2025March 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

6a- Easy approach to permutation matrix-part 2

October 21, 2025November 22, 2023 by Maged kamel
An easy approach to permutation matrix-part 2.

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, 2025November 22, 2023 by Maged kamel
An easy introduction to permutation matrix.

The post includes an introduction to the 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.

2d-Solved problems for Newton-divided differences.

May 20, 2024October 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.

2c- What is Newton-divided difference interpolation?

October 21, 2024October 6, 2021 by Maged kamel
brief illustration- post 2c-numerical-interpolation

Learn about deriving the expression of Newton-Divided difference interpolation function and how to derive the expression.

Categories Introduction to Interpolation Tags Introduction to Newton-divided difference interpolation.
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