Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J. Homotopy techniques for tensor decomposition and perfect identifiability. (English) Zbl 1440.15019 J. Reine Angew. Math. 753, 1-22 (2019). Reviewer: Nathan Grieve (Ottawa) MSC: 15A69 14Q15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., J. Reine Angew. Math. 753, 1--22 (2019; Zbl 1440.15019) Full Text: DOI arXiv
Hauenstein, Jonathan D. (ed.); Sommese, Andrew J. (ed.) Foreword. What is numerical algebraic geometry? (English) Zbl 1360.00098 J. Symb. Comput. 79, Part 3, 499-507 (2017). MSC: 00B15 14-06 65-06 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{J. D. Hauenstein} (ed.) and \textit{A. J. Sommese} (ed.), J. Symb. Comput. 79, Part 3, 499--507 (2017; Zbl 1360.00098) Full Text: DOI
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. (English) Zbl 1410.65205 Appl. Math. Comput. 231, 619-633 (2014). MSC: 65H20 14Q15 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 231, 619--633 (2014; Zbl 1410.65205) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. (English) Zbl 1191.14071 Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 55-77 (2009). MSC: 14Q15 14M15 13Pxx 15A54 65H10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., in: Approximate commutative algebra. Berlin: Springer. 55--77 (2009; Zbl 1191.14071) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan Numerical homotopies to compute generic points on positive dimensional algebraic sets. (English) Zbl 0982.65070 J. Complexity 16, No. 3, 572-602 (2000). Reviewer: Robert F.Lax (Baton Rouge) MSC: 65H10 14Q99 65H20 12Y05 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{J. Verschelde}, J. Complexity 16, No. 3, 572--602 (2000; Zbl 0982.65070) Full Text: DOI arXiv