论文信息 - Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

The procedure bisect is designed to replace the procedures tridibi 1 and 2 given in [5]. All three procedures are based essentially on the following theorem.

J. H. Wilkinson

[1] W. Givens. Numerical Computation of the Characteristic Values of a Real Symmetric Matrix , 1954 .

[2] J. H. Wilkinson. Error analysis of floating-point computation , 1960 .

[3] H. Rutishauser. Stabile Sonderfälle des Quotienten-Differenzen-Algorithmus , 1963 .

[4] F. L. Bauer. Sequential Reduction to Tridiagonal Form , 1959 .