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A LU Decomposition Useful for Antenna Optimization

机译:LU分解可用于天线优化

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This paper describes a LU decomposition technique useful when solving a series of matrix equations in which only a small fraction of the original matrix changes from run to run. On the first run, the entire matrix must be computed and LU decomposed. However, on the second or subsequent runs, only those rows and columns of the matrix which have changed need be recomputed and re-LU decomposed. If only a small fraction of the matrix has changed, this results in a substantial saving in CPU time both in the computation of the original matrix and in its LU decomposition.
机译:本文介绍了一种LU分解技术,该技术可用于求解一系列矩阵方程,其中原始矩阵的一小部分在运行之间会发生变化。第一次运行时,必须计算整个矩阵并分解LU。但是,在第二次或后续运行中,仅需要重新计算矩阵的那些行和列,并重新分解LU。如果仅矩阵的一小部分发生了变化,则将在原始矩阵的计算及其LU分解方面大大节省CPU时间。

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