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The LU factorization of a regular matrix \(A\in \mathbb {R}^{n\times n}\) into the two triangular matrices L and U has been derived using Frobenius matrices, i.e., \(U = FA\) , with \(L=F^{-1}\) . It holds

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Orthogonalization Methods and QR Factorization

  • 章节

  • 发表日期：

    2026年

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  • Thomas Richter,
  • Henry von Wahl,
  • Thomas Wick

摘要

The LU factorization of a regular matrix \(A\in \mathbb {R}^{n\times n}\) into the two triangular matrices L and U has been derived using Frobenius matrices, i.e., \(U = FA\) , with \(L=F^{-1}\) . It holds