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Linear systems of equations can be efficiently solved if the system matrix has a triangular shape or is presented as a product of triangular matrices. Under suitable conditions on the matrix, corresponding factorisations can be explicitly determined.

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Matrix Factorisations

  • 章节

  • 发表日期：

    2025年

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  • Sören Bartels

摘要

Linear systems of equations can be efficiently solved if the system matrix has a triangular shape or is presented as a product of triangular matrices. Under suitable conditions on the matrix, corresponding factorisations can be explicitly determined.