10-Two solved problems for 3×3 matrix by Crout’s LU-option 1.
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.
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.
9A- A Second option for Crout’s LU decomposition-3×3 matrix
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?
9- Crout’s LU decomposition for a 3×3 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.
8-Introduction to Crout’s LU decomposition for a 2×2 matrix.
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.
7-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.
5c- 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.
5b-Find the three unknowns for Second solved problem
Find the three unknowns for the Second solved problem. Two method to be used to solve for x1, x2 and x3.
6a- Easy approach to permutation matrix-Part 2
In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.