Nagasaka, Kosaku SLRA interpolation for approximate GCD of several multivariate polynomials. (English) Zbl 07760793 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 470-479 (2023). MSC: 68W30 PDFBibTeX XMLCite \textit{K. Nagasaka}, in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 470--479 (2023; Zbl 07760793) Full Text: DOI
Brehard, Florent; Poteaux, Adrien; Soudant, Léo Validated root enclosures for interval polynomials with multiplicities. (English) Zbl 07760751 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 90-99 (2023). MSC: 68W30 PDFBibTeX XMLCite \textit{F. Brehard} et al., in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 90--99 (2023; Zbl 07760751) Full Text: DOI
Bourne, Martin; Winkler, Joab R.; Su, Yi The computation of the greatest common divisor of three bivariate Bernstein polynomials defined in a rectangular domain. (English) Zbl 1472.65021 Appl. Numer. Math. 166, 348-368 (2021). MSC: 65D15 PDFBibTeX XMLCite \textit{M. Bourne} et al., Appl. Numer. Math. 166, 348--368 (2021; Zbl 1472.65021) Full Text: DOI
Bourne, Martin; Winkler, Joab R.; Su, Yi An approximate factorisation of three bivariate Bernstein basis polynomials defined in a triangular domain. (English) Zbl 1503.65037 J. Comput. Appl. Math. 390, Article ID 113381, 19 p. (2021). MSC: 65D17 41A10 PDFBibTeX XMLCite \textit{M. Bourne} et al., J. Comput. Appl. Math. 390, Article ID 113381, 19 p. (2021; Zbl 1503.65037) Full Text: DOI Link
Bourne, Martin; Winkler, Joab R.; Su, Yi The computation of the degree of the greatest common divisor of three Bernstein basis polynomials. (English) Zbl 1442.13090 J. Comput. Appl. Math. 373, Article ID 112373, 15 p. (2020). MSC: 13P15 33C45 65F99 65H14 PDFBibTeX XMLCite \textit{M. Bourne} et al., J. Comput. Appl. Math. 373, Article ID 112373, 15 p. (2020; Zbl 1442.13090) Full Text: DOI Link
Giesbrecht, Mark; Haraldson, Joseph; Kaltofen, Erich Computing approximate greatest common right divisors of differential polynomials. (English) Zbl 1522.13037 Found. Comput. Math. 20, No. 2, 331-366 (2020). Reviewer: Salah Najib (Khouribga) MSC: 13N10 12-08 13P05 49M15 65L99 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., Found. Comput. Math. 20, No. 2, 331--366 (2020; Zbl 1522.13037) Full Text: DOI arXiv
Bourne, Martin; Winkler, Joab; Su, Yi The computation of multiple roots of a Bernstein basis polynomial. (English) Zbl 1431.65064 SIAM J. Sci. Comput. 42, No. 1, A452-A476 (2020). MSC: 65H04 12-08 PDFBibTeX XMLCite \textit{M. Bourne} et al., SIAM J. Sci. Comput. 42, No. 1, A452--A476 (2020; Zbl 1431.65064) Full Text: DOI
Xu, Jun; Sarkar, Santanu; Hu, Lei Revisiting approximate polynomial common divisor problem and noisy multipolynomial reconstruction. (English) Zbl 1456.94119 Hao, Feng (ed.) et al., Progress in cryptology – INDOCRYPT 2019. 20th international conference on cryptology in India, Hyderabad, India, December 15–18, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11898, 398-411 (2019). MSC: 94A60 11A05 11J70 PDFBibTeX XMLCite \textit{J. Xu} et al., Lect. Notes Comput. Sci. 11898, 398--411 (2019; Zbl 1456.94119) Full Text: DOI
Lichtblau, Daniel Approximate polynomial GCD by approximate syzygies. (English) Zbl 1474.13053 Math. Comput. Sci. 13, No. 4, 517-532 (2019). MSC: 13P05 13P10 68W30 68W25 PDFBibTeX XMLCite \textit{D. Lichtblau}, Math. Comput. Sci. 13, No. 4, 517--532 (2019; Zbl 1474.13053) Full Text: DOI
Fazzi, Antonio; Guglielmi, Nicola; Markovsky, Ivan An ODE-based method for computing the approximate greatest common divisor of polynomials. (English) Zbl 1433.65076 Numer. Algorithms 81, No. 2, 719-740 (2019). MSC: 65F45 15A24 65K10 11R09 PDFBibTeX XMLCite \textit{A. Fazzi} et al., Numer. Algorithms 81, No. 2, 719--740 (2019; Zbl 1433.65076) Full Text: DOI Link
Beckermann, Bernhard; Labahn, George; Matos, Ana C. On rational functions without Froissart doublets. (English) Zbl 1390.41016 Numer. Math. 138, No. 3, 615-633 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 65F22 PDFBibTeX XMLCite \textit{B. Beckermann} et al., Numer. Math. 138, No. 3, 615--633 (2018; Zbl 1390.41016) Full Text: DOI arXiv
Guglielmi, Nicola; Markovsky, Ivan An ODE-based method for computing the distance of coprime polynomials to common divisibility. (English) Zbl 1367.65087 SIAM J. Numer. Anal. 55, No. 3, 1456-1482 (2017). MSC: 65K05 90C53 90C30 11A05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{I. Markovsky}, SIAM J. Numer. Anal. 55, No. 3, 1456--1482 (2017; Zbl 1367.65087) Full Text: DOI
Usevich, Konstantin; Markovsky, Ivan Variable projection methods for approximate (greatest) common divisor computations. (English) Zbl 1375.65062 Theor. Comput. Sci. 681, 176-198 (2017). MSC: 65F30 11A05 11C20 65F20 15B05 65Y20 PDFBibTeX XMLCite \textit{K. Usevich} and \textit{I. Markovsky}, Theor. Comput. Sci. 681, 176--198 (2017; Zbl 1375.65062) Full Text: DOI arXiv
Bourne, Martin; Winkler, Joab R.; Yi, Su The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials. (English) Zbl 1353.65014 Appl. Numer. Math. 111, 17-35 (2017). MSC: 13P15 33C45 65F99 PDFBibTeX XMLCite \textit{M. Bourne} et al., Appl. Numer. Math. 111, 17--35 (2017; Zbl 1353.65014) Full Text: DOI Link
Winkler, Joab R. Polynomial computations for blind image deconvolution. (English) Zbl 1357.68285 Linear Algebra Appl. 502, 77-103 (2016). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{J. R. Winkler}, Linear Algebra Appl. 502, 77--103 (2016; Zbl 1357.68285) Full Text: DOI
Beckermann, Bernhard; Matos, Ana C. Algebraic properties of robust Padé approximants. (English) Zbl 1311.41009 J. Approx. Theory 190, 91-115 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 65F22 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. C. Matos}, J. Approx. Theory 190, 91--115 (2015; Zbl 1311.41009) Full Text: DOI arXiv
Ruatta, Olivier; Sciabica, Mark; Szanto, Agnes Overdetermined Weierstrass iteration and the nearest consistent system. (English) Zbl 1310.65044 Theor. Comput. Sci. 562, 346-364 (2015). MSC: 65F20 13P15 PDFBibTeX XMLCite \textit{O. Ruatta} et al., Theor. Comput. Sci. 562, 346--364 (2015; Zbl 1310.65044) Full Text: DOI arXiv
Li, Zhe; Liu, Qi A heuristic verification of the degree of the approximate GCD of two univariate polynomials. (English) Zbl 1302.68333 Numer. Algorithms 67, No. 2, 319-334 (2014). MSC: 68W30 65H04 13P05 11A05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{Q. Liu}, Numer. Algorithms 67, No. 2, 319--334 (2014; Zbl 1302.68333) Full Text: DOI
Batselier, Kim; Dreesen, Philippe; De Moor, Bart A fast recursive orthogonalization scheme for the Macaulay matrix. (English) Zbl 1293.65064 J. Comput. Appl. Math. 267, 20-32 (2014). MSC: 65F25 65F50 15A18 PDFBibTeX XMLCite \textit{K. Batselier} et al., J. Comput. Appl. Math. 267, 20--32 (2014; Zbl 1293.65064) Full Text: DOI
Rueda, Sonia L.; Sendra, Juana; Sendra, J. Rafael Rational Hausdorff divisors: a new approach to the approximate parametrization of curves. (English) Zbl 1302.14049 J. Comput. Appl. Math. 263, 445-465 (2014). MSC: 14Q05 14C20 PDFBibTeX XMLCite \textit{S. L. Rueda} et al., J. Comput. Appl. Math. 263, 445--465 (2014; Zbl 1302.14049) Full Text: DOI arXiv
van der Hoeven, Joris Guessing singular dependencies. (English) Zbl 1290.30001 J. Symb. Comput. 59, 54-80 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 30B40 PDFBibTeX XMLCite \textit{J. van der Hoeven}, J. Symb. Comput. 59, 54--80 (2013; Zbl 1290.30001) Full Text: DOI
Terui, Akira GPGCD: an iterative method for calculating approximate GCD of univariate polynomials. (English) Zbl 1291.65162 Theor. Comput. Sci. 479, 127-149 (2013). MSC: 65H10 12Y05 12E05 68W30 PDFBibTeX XMLCite \textit{A. Terui}, Theor. Comput. Sci. 479, 127--149 (2013; Zbl 1291.65162) Full Text: DOI arXiv
Corless, Robert M. Pseudospectra of exponential matrix polynomials. (English) Zbl 1291.15020 Theor. Comput. Sci. 479, 70-80 (2013). MSC: 15A18 15A54 65F15 65F60 PDFBibTeX XMLCite \textit{R. M. Corless}, Theor. Comput. Sci. 479, 70--80 (2013; Zbl 1291.15020) Full Text: DOI
Lichtblau, Daniel Approximate Gröbner bases, overdetermined polynomial systems, and approximate GCDs. (English) Zbl 1285.13036 ISRN Comput. Math. 2013, Article ID 352806, 12 p. (2013). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 65Y04 PDFBibTeX XMLCite \textit{D. Lichtblau}, ISRN Comput. Math. 2013, Article ID 352806, 12 p. (2013; Zbl 1285.13036) Full Text: DOI
Batselier, Kim; Dreesen, Philippe; De Moor, Bart A geometrical approach to finding multivariate approximate LCMs and GCDs. (English) Zbl 1337.65033 Linear Algebra Appl. 438, No. 9, 3618-3628 (2013). MSC: 65F20 15A42 65F35 65F50 PDFBibTeX XMLCite \textit{K. Batselier} et al., Linear Algebra Appl. 438, No. 9, 3618--3628 (2013; Zbl 1337.65033) Full Text: DOI
Winkler, Joab R.; Hasan, Madina; Lao, Xin Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials. (English) Zbl 1261.12001 Calcolo 49, No. 4, 241-267 (2012). MSC: 12D10 12Y05 65F99 PDFBibTeX XMLCite \textit{J. R. Winkler} et al., Calcolo 49, No. 4, 241--267 (2012; Zbl 1261.12001) Full Text: DOI
Winkler, Joab R.; Lao, Xin; Hasan, Madina The computation of multiple roots of a polynomial. (English) Zbl 1243.65050 J. Comput. Appl. Math. 236, No. 14, 3478-3497 (2012). MSC: 65H04 12Y05 26C10 PDFBibTeX XMLCite \textit{J. R. Winkler} et al., J. Comput. Appl. Math. 236, No. 14, 3478--3497 (2012; Zbl 1243.65050) Full Text: DOI
Feng, Yong; Qin, Xiaolin; Zhang, Jingzhong; Yuan, Xun Obtaining exact interpolation multivariate polynomial by approximation. (English) Zbl 1259.65012 J. Syst. Sci. Complex. 24, No. 4, 803-815 (2011). MSC: 65D05 41A05 68W30 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Syst. Sci. Complex. 24, No. 4, 803--815 (2011; Zbl 1259.65012) Full Text: DOI arXiv
Christou, Dimitrios; Karcanias, Nicos; Mitrouli, Marilena; Triantafyllou, Dimitrios Numerical and symbolical methods for the GCD of several polynomials. (English) Zbl 1255.65062 Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 123-144 (2011). MSC: 65D20 12Y05 13P05 PDFBibTeX XMLCite \textit{D. Christou} et al., Lect. Notes Electr. Eng. 80, 123--144 (2011; Zbl 1255.65062) Full Text: DOI Link
Pan, Victor Y.; Zheng, Ai-Long Root-finding by expansion with independent constraints. (English) Zbl 1232.65074 Comput. Math. Appl. 62, No. 8, 3164-3182 (2011). MSC: 65H05 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{A.-L. Zheng}, Comput. Math. Appl. 62, No. 8, 3164--3182 (2011; Zbl 1232.65074) Full Text: DOI
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude A subdivision method for computing nearest gcd with certification. (English) Zbl 1221.68297 Theor. Comput. Sci. 412, No. 35, 4493-4503 (2011). MSC: 68W30 12E05 65Y20 PDFBibTeX XMLCite \textit{G. Chèze} et al., Theor. Comput. Sci. 412, No. 35, 4493--4503 (2011; Zbl 1221.68297) Full Text: DOI
Pan, Victor Y.; Zheng, Ai-Long New progress in real and complex polynomial root-finding. (English) Zbl 1217.65087 Comput. Math. Appl. 61, No. 5, 1305-1334 (2011). MSC: 65H04 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{A.-L. Zheng}, Comput. Math. Appl. 61, No. 5, 1305--1334 (2011; Zbl 1217.65087) Full Text: DOI
Winkler, Joab R.; Lao, Xin The calculation of the degree of an approximate greatest common divisor of two polynomials. (English) Zbl 1246.65062 J. Comput. Appl. Math. 235, No. 6, 1587-1603 (2011). MSC: 65F15 12Y05 26C05 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{X. Lao}, J. Comput. Appl. Math. 235, No. 6, 1587--1603 (2011; Zbl 1246.65062) Full Text: DOI
Pérez-Díaz, Sonia; Sendra, J. Rafael; Rueda, Sonia L.; Sendra, Juana Approximate parametrization of plane algebraic curves by linear systems of curves. (English) Zbl 1225.65024 Comput. Aided Geom. Des. 27, No. 2, 212-231 (2010). Reviewer: Manuel Gräf (Chemnitz) MSC: 65D17 14Q05 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Comput. Aided Geom. Des. 27, No. 2, 212--231 (2010; Zbl 1225.65024) Full Text: DOI arXiv Link
Terui, Akira GPGCD, an iterative method for calculating approximate GCD, for multiple univariate polynomials. (English) Zbl 1290.68139 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 12th international workshop, CASC 2010, Tsakhkadzor, Armenia, September 6–12, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15273-3/pbk). Lecture Notes in Computer Science 6244, 238-249 (2010). MSC: 68W30 12E05 12Y05 65D99 PDFBibTeX XMLCite \textit{A. Terui}, Lect. Notes Comput. Sci. 6244, 238--249 (2010; Zbl 1290.68139) Full Text: DOI arXiv
Winkler, Joab R.; Hasan, Madina A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix. (English) Zbl 1196.65083 J. Comput. Appl. Math. 234, No. 12, 3226-3242 (2010). MSC: 65F30 15A24 15A60 12E05 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{M. Hasan}, J. Comput. Appl. Math. 234, No. 12, 3226--3242 (2010; Zbl 1196.65083) Full Text: DOI
Christou, D.; Karcanias, N.; Mitrouli, M. The ERES method for computing the approximate GCD of several polynomials. (English) Zbl 1185.12005 Appl. Numer. Math. 60, No. 1-2, 94-114 (2010). MSC: 12Y05 65H99 68W30 PDFBibTeX XMLCite \textit{D. Christou} et al., Appl. Numer. Math. 60, No. 1--2, 94--114 (2010; Zbl 1185.12005) Full Text: DOI Link
Zeng, Zhonggang Regularization and matrix computation in numerical polynomial algebra. (English) Zbl 1191.65036 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, 125-162 (2009). MSC: 65F15 68W30 13P15 13P10 PDFBibTeX XMLCite \textit{Z. Zeng}, in: Approximate commutative algebra. Berlin: Springer. 125--162 (2009; Zbl 1191.65036) Full Text: DOI
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S. Using symmetries in the eigenvalue method for polynomial systems. (English) Zbl 1174.14053 J. Symb. Comput. 44, No. 11, 1536-1550 (2009). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14Q99 13P10 PDFBibTeX XMLCite \textit{R. M. Corless} et al., J. Symb. Comput. 44, No. 11, 1536--1550 (2009; Zbl 1174.14053) Full Text: DOI
Sekigawa, Hiroshi On real factors of real interval polynomials. (English) Zbl 1188.68369 J. Symb. Comput. 44, No. 7, 908-922 (2009). MSC: 68W30 13P05 11Y05 PDFBibTeX XMLCite \textit{H. Sekigawa}, J. Symb. Comput. 44, No. 7, 908--922 (2009; Zbl 1188.68369) Full Text: DOI
Giesbrecht, Mark; Labahn, George; Lee, Wen-Shin Symbolic-numeric sparse interpolation of multivariate polynomials. (English) Zbl 1167.65003 J. Symb. Comput. 44, No. 8, 943-959 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 74A05 41A63 68W30 PDFBibTeX XMLCite \textit{M. Giesbrecht} et al., J. Symb. Comput. 44, No. 8, 943--959 (2009; Zbl 1167.65003) Full Text: DOI
Pope, Scott R.; Szanto, Agnes Nearest multivariate system with given root multiplicities. (English) Zbl 1168.65347 J. Symb. Comput. 44, No. 6, 606-625 (2009). MSC: 65H10 13P15 68W30 PDFBibTeX XMLCite \textit{S. R. Pope} and \textit{A. Szanto}, J. Symb. Comput. 44, No. 6, 606--625 (2009; Zbl 1168.65347) Full Text: DOI
Busé, Laurent; Elkadi, Mohamed; Galligo, André A computational study of ruled surfaces. (English) Zbl 1222.14081 J. Symb. Comput. 44, No. 3, 232-241 (2009). MSC: 14J26 14Q10 13D02 PDFBibTeX XMLCite \textit{L. Busé} et al., J. Symb. Comput. 44, No. 3, 232--241 (2009; Zbl 1222.14081) Full Text: DOI Link
Terui, Akira Recursive polynomial remainder sequence and its subresultants. (English) Zbl 1173.13028 J. Algebra 320, No. 2, 633-659 (2008). Reviewer: Salah Najib (Lille) MSC: 13P05 PDFBibTeX XMLCite \textit{A. Terui}, J. Algebra 320, No. 2, 633--659 (2008; Zbl 1173.13028) Full Text: DOI arXiv
Szanto, Agnes [Chardin, Marc] Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin). (English) Zbl 1132.13312 J. Symb. Comput. 43, No. 1, 46-74 (2008). MSC: 13P99 68W30 PDFBibTeX XMLCite \textit{A. Szanto}, J. Symb. Comput. 43, No. 1, 46--74 (2008; Zbl 1132.13312) Full Text: DOI
Winkler, Joab R.; Allan, John D. Structured total least norm and approximate GCDs of inexact polynomials. (English) Zbl 1136.65049 J. Comput. Appl. Math. 215, No. 1, 1-13 (2008). MSC: 65H05 11A05 11C08 PDFBibTeX XMLCite \textit{J. R. Winkler} and \textit{J. D. Allan}, J. Comput. Appl. Math. 215, No. 1, 1--13 (2008; Zbl 1136.65049) Full Text: DOI
Zhang, Jingzhong; Feng, Yong Obtaining exact value by approximate computations. (English) Zbl 1202.68494 Sci. China, Ser. A 50, No. 9, 1361-1368 (2007). MSC: 68W30 11A55 11J70 33F10 65D99 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Feng}, Sci. China, Ser. A 50, No. 9, 1361--1368 (2007; Zbl 1202.68494) Full Text: DOI arXiv
Karcanias, N.; Fatouros, S.; Mitrouli, M.; Halikias, G. H. Approximate greatest common divisor of many polynomials, generalised resultants, and strength of approximation. (English) Zbl 1134.65334 Comput. Math. Appl. 51, No. 12, 1817-1830 (2006). MSC: 65D20 12Y05 13P05 PDFBibTeX XMLCite \textit{N. Karcanias} et al., Comput. Math. Appl. 51, No. 12, 1817--1830 (2006; Zbl 1134.65334) Full Text: DOI
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Distance bounds of \(\varepsilon\)-points on hypersurfaces. (English) Zbl 1099.68137 Theor. Comput. Sci. 359, No. 1-3, 344-368 (2006). MSC: 68W30 68W25 14Q10 65D18 68U05 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Theor. Comput. Sci. 359, No. 1--3, 344--368 (2006; Zbl 1099.68137) Full Text: DOI
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano Computing greatest common divisors and squarefree decompositions through matrix methods: the parametric and approximate cases. (English) Zbl 1084.65037 Linear Algebra Appl. 412, No. 2-3, 222-246 (2006). Reviewer: C. M. da Fonseca (Coimbra) MSC: 65F30 15A18 65F35 11A05 PDFBibTeX XMLCite \textit{G. M. Diaz-Toca} and \textit{L. Gonzalez-Vega}, Linear Algebra Appl. 412, No. 2--3, 222--246 (2006; Zbl 1084.65037) Full Text: DOI
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Parametrization of approximate algebraic surfaces by lines. (English) Zbl 1087.65013 Comput. Aided Geom. Des. 22, No. 2, 147-181 (2005). Reviewer: Ivana Linkeová (Praha) MSC: 65D17 14Q10 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Comput. Aided Geom. Des. 22, No. 2, 147--181 (2005; Zbl 1087.65013) Full Text: DOI
Pan, V. Y. The amended DSeSC power method for polynomial root-finding. (English) Zbl 1077.65049 Comput. Math. Appl. 49, No. 9-10, 1515-1524 (2005). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{V. Y. Pan}, Comput. Math. Appl. 49, No. 9--10, 1515--1524 (2005; Zbl 1077.65049) Full Text: DOI
Zeng, Zhonggang Computing multiple roots of inexact polynomials. (English) Zbl 1079.12007 Math. Comput. 74, No. 250, 869-903 (2005). MSC: 12Y05 65H05 PDFBibTeX XMLCite \textit{Z. Zeng}, Math. Comput. 74, No. 250, 869--903 (2005; Zbl 1079.12007) Full Text: DOI
Basilio, J. C.; Moreira, M. V. A robust solution of the generalized polynomial Bézout identity. (English) Zbl 1056.65038 Linear Algebra Appl. 385, 287-303 (2004). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 65F20 15A54 PDFBibTeX XMLCite \textit{J. C. Basilio} and \textit{M. V. Moreira}, Linear Algebra Appl. 385, 287--303 (2004; Zbl 1056.65038) Full Text: DOI
Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael Parametrization of approximate algebraic curves by lines. (English) Zbl 1085.68187 Theor. Comput. Sci. 315, No. 2-3, 627-650 (2004). MSC: 68W30 14Q05 65D18 PDFBibTeX XMLCite \textit{S. Pérez-Díaz} et al., Theor. Comput. Sci. 315, No. 2--3, 627--650 (2004; Zbl 1085.68187) Full Text: DOI
Bini, D. A.; Gemignani, L. Bernstein-Bézoutian matrices. (English) Zbl 1071.65014 Theor. Comput. Sci. 315, No. 2-3, 319-333 (2004). Reviewer: Daniela Kacsó (Duisburg) MSC: 65D17 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{L. Gemignani}, Theor. Comput. Sci. 315, No. 2--3, 319--333 (2004; Zbl 1071.65014) Full Text: DOI
Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J. Structured low rank approximation. (English) Zbl 1018.65057 Linear Algebra Appl. 366, 157-172 (2003). MSC: 65F30 65K05 90C20 PDFBibTeX XMLCite \textit{M. T. Chu} et al., Linear Algebra Appl. 366, 157--172 (2003; Zbl 1018.65057) Full Text: DOI
Hoffman, J. William; Madden, James J.; Zhang, Hong Pseudozeros of multivariate polynomials. (English) Zbl 1017.65047 Math. Comput. 72, No. 242, 975-1002 (2003). Reviewer: Matthew He (Ft.Lauderdale) MSC: 65H05 14P10 13P05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J. W. Hoffman} et al., Math. Comput. 72, No. 242, 975--1002 (2003; Zbl 1017.65047) Full Text: DOI
Pan, Victor Y. Computation of approximate polynomial GCDs and an extension. (English) Zbl 1005.12004 Inf. Comput. 167, No. 2, 71-85 (2001). MSC: 12Y05 68W30 PDFBibTeX XMLCite \textit{V. Y. Pan}, Inf. Comput. 167, No. 2, 71--85 (2001; Zbl 1005.12004) Full Text: DOI
Rupprecht, David An algorithm for computing certified approximate GCD of \(n\) univariate polynomials. (English) Zbl 0964.12007 J. Pure Appl. Algebra 139, No. 1-3, 255-284 (1999). Reviewer: V.Trevisan (Porto Alegre) MSC: 12Y05 65F30 15A18 65Y99 68W30 PDFBibTeX XMLCite \textit{D. Rupprecht}, J. Pure Appl. Algebra 139, No. 1--3, 255--284 (1999; Zbl 0964.12007) Full Text: DOI
Emiris, Ioannis Z.; Galligo, André; Lombardi, Henri Certified approximate univariate GCDs. (English) Zbl 0891.65015 J. Pure Appl. Algebra 117-118, 229-251 (1997). Reviewer: E.Minchev (Sofia) MSC: 65D20 12Y05 26C10 15A18 65Y20 68W30 PDFBibTeX XMLCite \textit{I. Z. Emiris} et al., J. Pure Appl. Algebra 117--118, 229--251 (1997; Zbl 0891.65015) Full Text: DOI