论文信息 - On the convergence of the classical Jacobi method for real symmetric matrices with non-distinct eigenvalues - 字舞流文

On the convergence of the classical Jacobi method for real symmetric matrices with non-distinct eigenvalues

SummaryIt is proved that the classical Jacobi method for real symmetric matrices with multiple eigenvalues converges quadratically.

[1] David A. Pope,et al. Maximizing Functions of Rotations—Experiments Concerning Speed of Diagonalization of Symmetric Matrices Using Jacobi's Method , 1957, JACM.

[2] P. Henrici. On the Speed of Convergence of Cyclic and Quasicyclic Jacobi Methods for Computing Eigenvalues of Hermitian Matrices , 1958 .

[3] Herman H. Goldstine,et al. The Jacobi Method for Real Symmetric Matrices , 1959, JACM.

[4] G. Forsythe,et al. The cyclic Jacobi method for computing the principal values of a complex matrix , 1960 .

[5] Arnold Schönhage,et al. Zur Konvergenz des Jacobi-Verfahrens , 1961 .

[6] J. H. Wilkinson. Note on the quadratic convergence of the cyclic Jacobi process , 1962 .

[7] Eldon R. Hansen. On Quasicyclic Jacobi Methods , 1962, JACM.