Bultheel, Adhemar Triangular decomposition of Toeplitz and related matrices: A guided tour in the algorithmic aspects. (English) Zbl 0633.65025 Bull. Soc. Math. Belg., Sér. A 37, 101-141 (1985). 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. Cited in 1 Document 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) Keywords:Toeplitz matrices; algorithmic aspects; bibliography; matrices close-to- Toeplitz; low displacement rank; triangular factorization PDFBibTeX XMLCite \textit{A. Bultheel}, Bull. Soc. Math. Belg., Sér. A 37, 101--141 (1985; Zbl 0633.65025)