Lala B. Krishna
Abstract
The SSOR semi-iterative method is applied to the system of linear equations $A{\bf x}={\bf b}$, where A is an $n \times n$ Hermitian positive definite matrix. We find the bounds for the A-norm of the error vector in terms of the spectral radius of the SSOR iteration matrix.
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The SSOR semi-iterative method is applied to the system of linear equations $A{\bf x}={\bf b}$, where A is an $n \times n$ Hermitian positive definite matrix. We find the bounds for the A-norm of the error vector in terms of the spectral radius of the SSOR iteration matrix.
Key concepts: Mathematics, Hermitian matrix, Spectral radius, Iterative method, Applied mathematics, Positive-definite matrix, Matrix (chemical analysis), Norm (philosophy)