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Some Strategies for Enhancing the Performance of the Block Lanczos Method

机译：提高Block Lanczos方法性能的几点策略

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The block Lanczos method is used to calculate the eigenfunctions for a generalized eigenvalue problem constructed for a finite element solution to a 2-dimensional Schrodinger equation on the surface of a hypersphere. This equation results from a treatment of the 3-dimensional reactive scattering problem using Adiabatically adjusting, Principal axes Hyperspherical (APH) coordinates. Three stategies are considered with respect to increasing the CPU performance of the block Lanczos (with selective orthogonalization) method: (1) the effect of varying the Lanczos block size: (2) the effect of solving the block tridiagonal ordinary eigenvalue problem upon every other Lanczos iteration; and, (3) the effect of dividing a single problem of finding p eigenvalues into a set of p/sub i/ problems, where each subproblem consists of finding p/p/sub i/ eigenvalues. (ERA citation 13:055849)

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