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Accelerating self-consistent field convergence with the augmented Roothaan–Hall energy function

机译:利用增强的Roothaan-Hall能量函数加速自洽场收敛

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摘要

Based on Pulay’s direct inversion iterative subspace (DIIS) approach, we present a method to accelerate self-consistent field (SCF) convergence. In this method, the quadratic augmented Roothaan–Hall (ARH) energy function, proposed recently by , is used as the object of minimization for obtaining the linear coefficients of Fock matrices within DIIS. This differs from the traditional DIIS of Pulay, which uses an object function derived from the commutator of the density and Fock matrices. Our results show that the present algorithm, abbreviated ADIIS, is more robust and efficient than the energy-DIIS (EDIIS) approach. In particular, several examples demonstrate that the combination of ADIIS and DIIS (“ADIIS+DIIS”) is highly reliable and efficient in accelerating SCF convergence.
机译:基于Pulay的直接反演迭代子空间(DIIS)方法,我们提出了一种加速自洽场(SCF)收敛的方法。在该方法中,最近由提出的二次增强Roothaan-Hall(ARH)能量函数被用作最小化对象,以获取DIIS中Fock矩阵的线性系数。这不同于传统的Pulay DIIS,后者使用从密度和Fock矩阵的换向器派生的对象函数。我们的结果表明,本算法(缩写为ADIIS)比Energy-DIIS(EDIIS)方法更健壮和高效。尤其是,一些示例表明,ADIIS和DIIS的组合(“ ADIIS + DIIS”)在加速SCF收敛方面是高度可靠和高效的。

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