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Triangular decomposition of Toeplitz and related matrices: A guided tour in the algorithmic aspects. (English) Zbl 0633.65025

We give a guided tour through the extensive literature that exists on the algorithms for the triangular factorization of Toeplitz and related matrices. Some old and some new results are briefly reviewed. Due to space limitations we can however not be complete in all aspects.

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
15A23 Factorization of matrices
15B57 Hermitian, skew-Hermitian, and related matrices
15-04 Software, source code, etc. for problems pertaining to linear algebra
65F30 Other matrix algorithms (MSC2010)
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