santhanalakshmi04 / lu-decomposition

LU Decomposition

AIM:

To write a program to find the LU Decomposition of a matrix.

Equipments Required:

1. Hardware – PCs
2. Anaconda – Python 3.7 Installation / Moodle-Code Runner

Algorithm

1.Import the numpy module to use the built-in functions for calculation.

2.From scipy.linalg module import the lu funtion.

3.Get inputs from the user and assign the values in np.array().

4.Using the lu() function,we can find the L and U matrix.

5.Print the obtained values.

6.End the program.

Program:

(i) To find the L and U matrix

Program to find the L and U matrix.

Developed by: K.SANTHANA LAKSHMI
RegisterNumber: 212222240091
import numpy as np 
from scipy.linalg import lu
a=eval(input())
P,L,U=lu(a)
print(L)
print(U)

(ii) To find the LU Decomposition of a matrix

/*
Program to find the LU Decomposition of a matrix.
Developed by: K.SANTHANA LAKSHMI
RegisterNumber: 212222240091

import numpy as np
from scipy.linalg import lu_factor,lu_solve
A=eval(input())
B=eval(input())
lu,piv=lu_factor(A)
x=lu_solve((lu,piv),B)
print(x)
*/

Output:

(i) To find the L and U matrix

(ii) To find the LU Decomposition of a matrix

Result:

Thus the program to find the LU Decomposition of a matrix is written and verified using python programming.