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.
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.
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?
2d-Solved problems for Newton-divided differences.
Two Solved problems for Newton-divided differences are given for more information about the method.
2c- What is Newton-divided difference interpolation?
Learn about deriving the expression of Newton-Divided difference interpolation function and how to derive the expression.
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.
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?
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.