A realistic coupled-equation problem is solved using various i?-matrix and level-matrix techniques. Comparison with exact coupled-equation calculations shows that excellent numerical results are possible with these methods, both in resonant and in nonresonant energy regions. The effects of varying the 72-matrix boundary conditions and the number of levels included in the calculation are considered. Various aspects of i?-matrix theory, such as the composition of i£-matrix states, and the interference between neighboring levels, are illustrated by the calculations. 6
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