We consider the convergence of TOR-Type method under the conditions when the coefficient matrices are positive definite symmetric matrices, H-mat - rices, L-matrices.

Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.

From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.