A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues.
It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices). However, the same can not be true in case of those iterative methods for linear systems with weak H-matrices (whose comparison matrices are singular M-matrices). This paper proposes some necessary and sufficient conditions such that SOR iterative methods are...
An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.