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Self-Consistent Field using Direct Inversion in Iterative Subspace Method and Quasi-Newton Vectors

机译:迭代子空间方法和准牛顿向量中使用直接反演的自洽场

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The self-consistent field (SCF) technique has been the workhorse of computational chemistry research. As the size and complexity of computational system increases, any new algorithmic development that offers additOional speed-up is always welcome, even if it is as simple as an alternative method that works well for certain chemical systems. The direct inversion in the iterative subspace (DIIS) method is a widely used technique that speeds up the SCF convergence by minimizing an error function associated with each SCF step. In this work, we introduce a different DIIS method that uses quasi-Newton steps as error vectors. Mathematical formalisms necessary for computation of the error vector are presented. Approximate Hessian is used to avoid extra computational cost and storage requirement. A select set of molecules are used to test the performance of the algorithm.
机译:自我一致的领域(SCF)技术一直是计算化学研究的主力。 随着计算系统的尺寸和复杂性的增加,始终欢迎任何提供添加加速的新算法开发,即使它与某些化学系统适用于良好的替代方法。 迭代子空间(DIIS)方法中的直接反演是一种广泛使用的技术,通过最小化与每个SCF步骤相关联的误差函数来加速SCF收敛。 在这项工作中,我们介绍了一种不同的DIIS方法,它使用Quasi-Newton步骤作为错误向量。 呈现了计算误差矢量所需的数学形式主义。 近似黑森州用于避免额外的计算成本和存储要求。 选择一组分子用于测试算法的性能。

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