14a-Solution of linear systems by LU-partial pivoting-2/2
linear systems by LU-partial pivoting-2/2. We will estimate the inverse of matrix A to get the values of the three unkowns.
Solution of linear systems
How to use the different techniques to solve linear systems? A discussion of Lower upper factorization is presented with full detailed solved problems for 2×2 matrices and 3×3 matrices.
14-Solution of linear systems by LU-partial pivoting-1/2.
This is the first part of the solution of linear systems by LU-partial pivoting. We want to find the value of the three unknowns by using Lu-partial pivot
13-How to get x1,x2,x3-using Gaussian-partial pivoting?
In this post, we have a discussion, new solved problem for which our concern is
How to get x1,x2,x3-using Gaussian-partial pivot?. we have a partial pivot at due to zero value of a11.
12- Solved example- LU decomposition- partial pivoting.
A Solved example- LU decomposition- partial pivoting. A step-by-step guide to find the values of L and U matrices and perform the final check.
11a- Easy approach to permutation matrix-part 2.
In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.
11- 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?
10-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.
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? 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.
6- 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.
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? Matrix A is converted to U1 and L1 matrix, then to L2 and U2 matrix.