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It will solve the solution "exactly", but will take a very very long time for large matrices.
Gauss Jordan method will require O(n^3) multiplication/divisions and O(n^3) additions and subtractions.
Gauss seidel in reality you may not know when you have reached a solution. So, you may have to define the difference between succesive iterations as a tolerance for error. But, most of the time GS is much prefured in cases of large matrices.
What else can I help you with?
Why does the Gauss-Seidel iterative method converge to a solution quicker than the Jacobi method?
The Gauss-Seidel iterative method converges more quickly than the Jacobi method primarily because it utilizes the most recently updated values as soon as they are available in the current iteration. In contrast, the Jacobi method relies solely on values from the previous iteration for all calculations, which can slow convergence. This immediate use of updated information in Gauss-Seidel allows for a more refined approximation of the solution with each iteration, leading to faster convergence, especially for well-conditioned systems.
Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method?
Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method 2x1+3x2+7x3 = 12 -----(1) x1-4x2+5x3 = 2 -----(2) 4x1+5x2-12x3= -3 ----(3) Answer: I'm not here to answer your university/college assignment questions. Please refer to the related question below and use the algorithm, which you should have in your notes anyway, to do the work yourself.
What is the birth name of Mika Seidel?
Mika Seidel's birth name is Mika Nilson Seidel.
What is the birth name of Stan Seidel?
Stan Seidel's birth name is Seidel, Stanford Clarke.
What is the birth name of Tom Seidel?
Tom Seidel's birth name is Emil Thomas Seidel.
How tall is Stephen Seidel?
Stephen Seidel is 6'.
How tall is Johannes Seidel?
Johannes Seidel is 177 cm.
How tall is Leon Seidel?
Leon Seidel is 140 cm.
How tall is Lindsay Seidel?
Lindsay Seidel is 5' 3".
How tall is Mika Seidel?
Mika Seidel is 130 cm.
How tall is Silvia Seidel?
Silvia Seidel is 165 cm.
When was Heinrich Seidel born?
Heinrich Seidel was born in 1842.
When did Heinrich Seidel die?
Heinrich Seidel died in 1906.
When did Robert Seidel die?
Robert Seidel died in 1982.
