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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.

14a-Solution of linear systems by LU-partial pivoting-2/2

October 6, 2024December 8, 2021 by Maged kamel
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.

Categories Solution of linear systems Tags inverse of matrix, LU-partial pivoting

14-Solution of linear systems by LU-partial pivoting-1/2.

January 4, 2024December 6, 2021 by Maged kamel
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

Categories Solution of linear systems Tags Linear systems of equations, LU-partial pivoting

13-How to get x1,x2,x3-using Gaussian-partial pivoting?

March 8, 2024December 6, 2021 by Maged kamel
How to get x1,x2, and 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.

Categories Solution of linear systems Tags Solving for x1, x3-using Gaussian-partial pivot.

12- Solved example- LU decomposition- partial pivoting.

April 3, 2025November 23, 2021 by Maged kamel
Solved example for 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.

Categories Solution of linear systems Tags Solved example for LU decomposition-partial pivoting.

11a- Easy approach to permutation matrix-part 2.

January 4, 2024November 22, 2021 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 matrix.

11- Easy introduction to permutation matrix.

January 5, 2024November 22, 2021 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 Permutation matrix.
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Categories

Case 2 for block Shear-Coped Beam Problem (1) CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Effective length factor for an inelastic column. (1) Find deposit value for uniform series? (1) How to design a steel beam? (1) Inertia Ix for Parallelogram. (2) introduction to Tension members (2) list of steel beams posts-part -4a (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem for the x and y coordinates of a trapezoid (1) Simple interest and compound interest (2) Solved problem-7-4-1 (1) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for frames 1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) steel beam posts part -2a (1) Two Practice problems for inertia for trapezium. (1) Two Practice problems for Ixy for trapezium (1) video-Iy and polar moment of inertia for case 2-right angle. (1) Video for Ix for a right-angle triangle (1) Video for Ixy for a rectangle section. (1) Video for Ixy for a right-angle triangle case 1. (1) Video for Ixy for a triangle (1) Video for practice problem-2 for the moment of inertia. (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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