V2EX preconditioning

Preconditioning

释义 Definition

预处理;预先调节;预先“训练/适应”:在正式使用、测试或施加压力之前,先进行准备性处理,使系统/材料/人体等更稳定、更高效或更能耐受后续负荷。常见于工程与材料(如预处理、预热)、医学与运动(如缺血预适应、运动前调节)、以及数学与计算(如在线性方程迭代法中的“预条件化 preconditioning”以加速收敛)。

发音 Pronunciation (IPA)

/prikndn/

例句 Examples

The coach recommended preconditioning exercises before the season started.
教练建议在赛季开始前做一些预先体能训练。

In numerical simulations, proper preconditioning can dramatically speed up the convergence of iterative solvers for large sparse systems.
在数值模拟中,合适的预条件化能显著加快迭代求解器对大型稀疏方程组的收敛速度。

词源 Etymology

pre-(“在……之前”)+ conditioning(“调节;使适应;训练”)构成。字面意思就是“事前的调节/训练”。在计算数学里,“preconditioning”特指通过构造预条件子来改善问题的数值性质,从而让迭代算法更快、更稳定。

相关词 Related Wors

文学与著作 Literary Works

  • Iterative Methods for Sparse Linear Systems(Yousef Saad):大量使用并系统讲解“preconditioning/预条件化”。
  • Matrix Computations(Gene H. Golub & Charles F. Van Loan):在数值线性代数语境中讨论预条件相关思想与应用。
  • Numerical Optimization(Jorge Nocedal & Stephen J. Wright):在优化算法与数值求解中提及预条件化与加速收敛的关系。
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