CD Skripsi
Metode Gauss-Seidel Prekondisi Dengan Menggunakan Ekspansi Neumann
This final project discuss a preconditioned Gauss-Seidel method to solve a
system of linear equation Ax = b by A which is a strictly diagonally dominant
Z-matrix. Preconditioning matrix to be used is P = (I + U)−1, where I is an
identity matrix and U is a strictly upper triangular matrix. Using Neumann’s
expansion to approximate P, we show that the preconditioning matrix is
equivalent to an existing preconditioning matrix of the form P = (I + U).
Numerical computations show that the proposed preconditioned Gauss-Seidel
method is better than the standard Gauss-Seidel method in solving a system of
linear equation Ax = b.
Key words: Gauss-Seidel method, preconditioning matrix, Z-matrices.
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