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Application of localized molecular orbitals to the solution of semiempirical self-consistent field equations
357
Citations
9
References
1996
Year
Numerical AnalysisMathematical ProgrammingEngineeringComputational ChemistryMatrix TheoryIntegrable SystemEnergy MinimizationLocalized Molecular OrbitalsNumerical ComputationMatrix MethodNonlinear Hyperbolic ProblemApproximation TheoryPhysicsConventional Matrix AlgebraSemi-implicit MethodQuantum ChemistryMatrix AnalysisMultiscale ModelingLarge SystemsNatural SciencesApplied PhysicsMany-body Problem
When conventional matrix algebra is used to solve the semiempirical self-consistent field equations for large systems, the time required rises as the third power of the size of the system. A consequence of this is that self-consistent calculations of large systems such as enzymes are impractical. By using localized molecular orbitals instead of matrix methods, the time required for these systems can be made almost proportional to the size of the system. In partial geometry optimizations, the time required depends only upon the size of the fragment being optimized and is almost independent of the size of the whole system. © 1996 John Wiley & Sons, Inc.
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