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can I apply the method?
- Thread starter evinda
- Start date
HallsofIvy
Elite Member
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- Jan 27, 2012
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I have no idea what you mean by "Apply the Gauss-Seidel method at a matrix". Apply it to do what? "Gauss-Seidel" is normally used to solve systems of equations or matrix equations. Are you trying to solve a matrix equation? If the coefficient matrix has determinant 0, then the matrix equation will not have a unique solution and "Gauss-Seidel" will not completely "reduce" the equation but you can use it to reduce to a matrix having rows that are all 0s and so determine whether the equation has solutions, and, if so, a general form for the solution.
I have no idea what you mean by "Apply the Gauss-Seidel method at a matrix". Apply it to do what? "Gauss-Seidel" is normally used to solve systems of equations or matrix equations. Are you trying to solve a matrix equation? If the coefficient matrix has determinant 0, then the matrix equation will not have a unique solution and "Gauss-Seidel" will not completely "reduce" the equation but you can use it to reduce to a matrix having rows that are all 0s and so determine whether the equation has solutions, and, if so, a general form for the solution.
Yes,I try to solve the linear system Ax=b,for different matrices A.One of these is the Hilbert matrix.I have to write the code in matlab and I find that the determinant is 0,if the matrix has dimensions that are bigger or equal to 250.Is this right,that the determinant of the Hilbert matrix is equal to 0?
And how can I reduce it to a matrix having rows that are all 0s and determine whether the equation has solutions?
Also,no matter which dimension I give,I get that this matrix does not converge for the Gauss-Seidel method.Is this wrong?