SPLINE COLLOCATION CALCULATION FOR H-2(+)

A basis of Hermite splines is used in conjunction with the collocation method to obtain accurate solutions of the Schrodinger equation for H -2(+). The spectral transform variation of the Lanczos method is found to be the most suitable method for solving the matrix eigenvalue prob lem, while the preconditioned conjugate gradient method is very effect ive for solving the systems of linear equations necessary to evaluate the matrix-vector products that occur for each Lanczos iteration. The lowest eigenvalue is obtained to more than six significant figures wit hout taking advantage of the separability of the orbital equations.