Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization
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Linear Algebra and its Applications. 2018, 545, pp. 240-255. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2018.01.035
Zusammenfassung
For a class of matrices connected with Cauchon diagrams, Cauchon matrices, and the Cauchon algorithm, a method for determining the rank, and for checking a set of consecutive row (or column) vectors for linear independence is presented. Cauchon diagrams are also linked to the elementary bidiagonal factorization of a matrix and to certain types of rank conditions associated with submatrices called descending rank conditions.
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ADM, Mohammad, Khawla AL MUHTASEB, Ayed Abedel GHANI, Shaun FALLAT, Jürgen GARLOFF, 2018. Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization. In: Linear Algebra and its Applications. 2018, 545, pp. 240-255. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2018.01.035BibTex
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title={Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization},
volume={545},
issn={0024-3795},
journal={Linear Algebra and its Applications},
pages={240--255},
author={Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel and Fallat, Shaun and Garloff, Jürgen}
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