Gauss Seidel Calculator _ Iteration Calculator 245gw

07/06/2018

Gauss Seidel Calculator | Iteration Calculator

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Gauss Seidel Calculator An online Iteration calculator to solve a system of linear equations by Gauss Seidel Method, also known as the Liebmann method or the method of successive displacement.

Iteration Calculator SD Calculator

Number of Equation 3

10

x1+ 1

x2+ 1

x3 = 12

1

x1+ 10

x2+ 1

x3 = 12

1

x1+ 1

x2+ 10

x3 = 12

Calculate

10 0

1

1

▸

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0

1

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Lower Triangular Component L* 10 0

Logarithm

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10

Top Categories

Upper Triangular Component U

▸

▸ Algebra ▸ Analytical

0 1 1

▸ Date Day

0 0 1

▸ Finance

0 0 0

▸ Health ▸ Mortgage

Inverse of L-1* 0.1

0

0

-0.01

0.1

0

▸ Numbers ▸ Physics ▸ Statistics More

-0.009 -0.01 0.1

Calculation of T

-

0.1

0

0

-0.01

0.1

0

-0.009 -0.01 0.1

0 1 1 0 0 1

x

0 0 0

=

0 -0.1

-0.1

0 0.01

-0.09

0 0.009 0.019

Calculation of C https://www.easycalculation.com/algebra/gauss-seidel-method.php

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07/06/2018

Gauss Seidel Calculator | Iteration Calculator

0.1

0

0

-0.01

0.1

0

12

1.2

12

-0.009 -0.01 0.1

x

1.08

=

12

0.972

Gauss Seidel Algorithm Suppose 1.2

x(0) =

x(1) =

x(2) =

x(3) =

x(4) =

1.08 0.972

0 -0.1

-0.1

0 0.01

-0.09

0 0.009 0.019

0 -0.1

-0.1

0 0.01

-0.09

0 0.009 0.019

0 -0.1

-0.1

0 0.01

-0.09

0 0.009 0.019

0 -0.1

-0.1

0 0.01

-0.09

0 0.009 0.019

1.2

1.2

1.08

x

1.08

+

0.972

0.9948

1.0002

1

1

0.972

1

0.972

0.972

=

1

1

1.08

+

1

1

1.2

1 1

1

=

1.08

+

1.0002

0.9997

1.2

1

x

0.972

1.08

+

0.9997

x

1.0033

=

1.2

1.0033

x

0.9948

1

=

1

Result 1

x = A-1b =

1 1

x1

x2

x3

1

1

1 Calculator

Example

Code to add this calci to your website

https://www.easycalculation.com/algebra/gauss-seidel-method.php

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07/06/2018

Gauss Seidel Calculator | Iteration Calculator

A step by step online Iteration calculator which helps you to understand how to solve a system of linear equations by Gauss Seidel Method. Gauss-Seidel Method: It is an iterative technique for solving the n equations a square system of n linear equations with unknown x, where Ax =b only one at a time in sequence. This method is applicable to strictly diagonally dominant, or symmetric positive definite matrices A.

Formula:

xk+1= L*-1(b-Uxk) Where, L* = Lower Triangular U = Upper Triangular

In the below Gauss Seidel Calculator enter the number of equations (should be 2 to 10) to be examined and enter the values for the equations and click calculate to find the values of the variables in the equation. The properties of Gauss Seidel method are dependent on the matrix A. Liebmann method is an iteration method which is very useful in solving the linear equations quickly without much computations.

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https://www.easycalculation.com/algebra/gauss-seidel-method.php

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