Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel Positive bidiagonal factorization of tetradiagonal Hessenberg matrices. (English) Zbl 1526.15013 Linear Algebra Appl. 677, 132-160 (2023). Reviewer: Tin Yau Tam (Reno) MSC: 15A23 15A15 15B05 42C05 33C45 33C47 15B48 47B39 47B28 47B36 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Linear Algebra Appl. 677, 132--160 (2023; Zbl 1526.15013) Full Text: DOI arXiv
Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. (English) Zbl 1512.65060 J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023). MSC: 65F15 15A23 15B48 15B35 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023; Zbl 1512.65060) Full Text: DOI arXiv
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). (English) Zbl 1492.65067 Adv. Comput. Math. 48, No. 4, Paper No. 38, 25 p. (2022). MSC: 65F05 65F15 15A23 15A18 15B48 PDFBibTeX XMLCite \textit{E. Mainar} et al., Adv. Comput. Math. 48, No. 4, Paper No. 38, 25 p. (2022; Zbl 1492.65067) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases. (English) Zbl 1492.65066 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 126, 22 p. (2022). MSC: 65F05 65F15 65G50 15A23 PDFBibTeX XMLCite \textit{E. Mainar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 126, 22 p. (2022; Zbl 1492.65066) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials. (English) Zbl 1493.15054 Linear Algebra Appl. 647, 31-46 (2022). Reviewer: Tin Yau Tam (Reno) MSC: 15A23 15A18 15A06 15A09 33C10 33C50 65G50 65F05 PDFBibTeX XMLCite \textit{E. Mainar} et al., Linear Algebra Appl. 647, 31--46 (2022; Zbl 1493.15054) Full Text: DOI
Huang, Rong Accurate computation of generalized eigenvalues of regular SR-BP pairs. (English) Zbl 1480.65081 SIAM J. Matrix Anal. Appl. 42, No. 4, 1680-1702 (2021). MSC: 65F15 65G50 15A18 15A22 15B05 PDFBibTeX XMLCite \textit{R. Huang}, SIAM J. Matrix Anal. Appl. 42, No. 4, 1680--1702 (2021; Zbl 1480.65081) Full Text: DOI
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices. (English) Zbl 1460.65040 Linear Algebra Appl. 613, 377-392 (2021). MSC: 65F15 65F20 65F35 15A23 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 613, 377--392 (2021; Zbl 1460.65040) Full Text: DOI
Yang, Zhao; Huang, Rong; Zhu, Wei Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices. (English) Zbl 1450.65037 Numer. Algorithms 85, No. 1, 329-351 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F15 65F05 15B48 PDFBibTeX XMLCite \textit{Z. Yang} et al., Numer. Algorithms 85, No. 1, 329--351 (2020; Zbl 1450.65037) Full Text: DOI
Mainar, Esmeralda; Peña, Juan Manuel; Rubio, Beatriz Accurate least squares fitting with a general class of shape preserving bases. (English) Zbl 1469.65051 Ahusborde, É. (ed.) et al., Fifteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 10–12, 2018. Zaragoza: Prensas de la Universidad de Zaragoza. Monogr. Mat. García Galdeano 42, 183-192 (2019). MSC: 65D17 65F05 65D05 41A05 42A10 PDFBibTeX XMLCite \textit{E. Mainar} et al., Monogr. Mat. García Galdeano 42, 183--192 (2019; Zbl 1469.65051)
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications. (English) Zbl 1420.65018 Linear Algebra Appl. 579, 320-335 (2019). MSC: 65F05 65F15 65D05 15A23 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 579, 320--335 (2019; Zbl 1420.65018) Full Text: DOI
Koev, Plamen Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices. (English) Zbl 1434.65035 Numer. Math. 141, No. 3, 693-713 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F22 65F35 65Y04 15A18 15A20 PDFBibTeX XMLCite \textit{P. Koev}, Numer. Math. 141, No. 3, 693--713 (2019; Zbl 1434.65035) Full Text: DOI
Marco, Ana; Martínez, José-Javier Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices. (English) Zbl 1405.65055 J. Comput. Appl. Math. 350, 299-308 (2019). MSC: 65F20 65F05 65F35 15B05 15B48 15A23 15A09 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, J. Comput. Appl. Math. 350, 299--308 (2019; Zbl 1405.65055) Full Text: DOI
Mainar, E.; Peña, J. M. Accurate computations with collocation matrices of a general class of bases. (English) Zbl 1513.65051 Numer. Linear Algebra Appl. 25, No. 5, e2184, 12 p. (2018). MSC: 65F05 65D18 65D17 PDFBibTeX XMLCite \textit{E. Mainar} and \textit{J. M. Peña}, Numer. Linear Algebra Appl. 25, No. 5, e2184, 12 p. (2018; Zbl 1513.65051) Full Text: DOI
Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Adm, Mohammad; Al Muhtaseb, Khawla; Ghani, Ayed Abedel; Fallat, Shaun; Garloff, Jürgen Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization. (English) Zbl 1386.15031 Linear Algebra Appl. 545, 240-255 (2018). MSC: 15A23 15A03 PDFBibTeX XMLCite \textit{M. Adm} et al., Linear Algebra Appl. 545, 240--255 (2018; Zbl 1386.15031) Full Text: DOI Link
Delgado, Jorge; Peña, J. M. Accurate computations with Lupaş matrices. (English) Zbl 1411.65032 Appl. Math. Comput. 303, 171-177 (2017). MSC: 65D17 15A09 33D45 68U07 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Appl. Math. Comput. 303, 171--177 (2017; Zbl 1411.65032) Full Text: DOI Link
Lee, Geunseop; Barlow, Jesse Updating approximate principal components with applications to template tracking. (English) Zbl 1424.65053 Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017). Reviewer: Hasan Erbay (Kırıkkale) MSC: 65F30 15A23 65F25 PDFBibTeX XMLCite \textit{G. Lee} and \textit{J. Barlow}, Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017; Zbl 1424.65053) Full Text: DOI
Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications. (English) Zbl 1355.65048 Linear Algebra Appl. 517, 63-84 (2017). MSC: 65F05 65F15 65F20 15A23 15B05 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 517, 63--84 (2017; Zbl 1355.65048) Full Text: DOI
Cantó, Rafael; Peláez, María J.; Urbano, Ana M. On the characterization of totally nonpositive matrices. (English) Zbl 1375.15050 S\(\vec{\text{e}}\)MA J. 73, No. 4, 347-368 (2016). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A23 15A09 PDFBibTeX XMLCite \textit{R. Cantó} et al., S\(\vec{\text{e}}\)MA J. 73, No. 4, 347--368 (2016; Zbl 1375.15050) Full Text: DOI Link
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel Accurate and fast computations with positive extended Schoenmakers-Coffey matrices. (English) Zbl 1424.65020 Numer. Linear Algebra Appl. 23, No. 6, 1023-1031 (2016). MSC: 65F05 65F15 15B48 PDFBibTeX XMLCite \textit{J. Delgado} et al., Numer. Linear Algebra Appl. 23, No. 6, 1023--1031 (2016; Zbl 1424.65020) Full Text: DOI Link
Barreras, Álvaro; Peña, Juan Manuel Intervals of structured matrices. 2nd edition. (English) Zbl 1351.15019 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 21-27 (2016). MSC: 15B48 15A45 15B35 PDFBibTeX XMLCite \textit{Á. Barreras} and \textit{J. M. Peña}, Monogr. Mat. García Galdeano 40, 21--27 (2016; Zbl 1351.15019)
Hakopian, Yuri R.; Aleksanyan, S. S. Moore-Penrose inverse of bidiagonal matrices. IV. (English) Zbl 1347.15009 Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 28-34 (2016). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{Y. R. Hakopian} and \textit{S. S. Aleksanyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 28--34 (2016; Zbl 1347.15009)
Hakopian, Yu. R.; Aleksanyan, S. S. Moore-Penrose inverse of bidiagonal matrices. III. (English) Zbl 1339.15004 Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 1(239), 12-21 (2016). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{S. S. Aleksanyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 1(239), 12--21 (2016; Zbl 1339.15004)
Gong, Feixue; Meyerson, Olivia; Meza, Jeremy; Stoiciu, Mihai; Ward, Abigail Explicit bounds for the pseudospectra of various classes of matrices and operators. (English) Zbl 1338.15024 Involve 9, No. 3, 517-540 (2016). MSC: 15A18 15A60 47A10 65F15 PDFBibTeX XMLCite \textit{F. Gong} et al., Involve 9, No. 3, 517--540 (2016; Zbl 1338.15024) Full Text: DOI arXiv
Marco, Ana; Martínez, José-Javier Bidiagonal decomposition of rectangular totally positive Said-Ball-Vandermonde matrices: error analysis, perturbation theory and applications. (English) Zbl 1333.65028 Linear Algebra Appl. 495, 90-107 (2016). MSC: 65F05 15B48 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Linear Algebra Appl. 495, 90--107 (2016; Zbl 1333.65028) Full Text: DOI
Miao, Shuming; Zhang, Xin; Parchment, Oswald G.; Chen, Xiaoxian A fast GPU based bidiagonal solver for computational aeroacoustics. (English) Zbl 1423.76318 Comput. Methods Appl. Mech. Eng. 286, 22-39 (2015). MSC: 76M20 65M06 65Y10 76Q05 PDFBibTeX XMLCite \textit{S. Miao} et al., Comput. Methods Appl. Mech. Eng. 286, 22--39 (2015; Zbl 1423.76318) Full Text: DOI
Hakopian, Yu. R.; Aleksanyan, S. S. Moore-Penrose inverse of bidiagonal matrices. II. (English) Zbl 1333.15003 Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 3(238), 8-16 (2015). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{S. S. Aleksanyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 3(238), 8--16 (2015; Zbl 1333.15003)
Hakopian, Yu. R.; Aleksanyan, S. S. Moore-Penrose inverse of bidiagonal matrices. I. (English) Zbl 1322.15002 Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 2(237), 11-20 (2015). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{Yu. R. Hakopian} and \textit{S. S. Aleksanyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 2(237), 11--20 (2015; Zbl 1322.15002)
Yamashita, Takumi; Kimura, Kinji; Yamamoto, Yusaku A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix. (English) Zbl 1329.65079 Numer. Algorithms 69, No. 4, 893-912 (2015). Reviewer: Iveta Hnetynkova (Praha) MSC: 65F15 15A18 15A42 65F50 PDFBibTeX XMLCite \textit{T. Yamashita} et al., Numer. Algorithms 69, No. 4, 893--912 (2015; Zbl 1329.65079) Full Text: DOI arXiv
Li, Shengguo; Gu, Ming; Parlett, Beresford N. An improved DQDS algorithm. (English) Zbl 1297.65042 SIAM J. Sci. Comput. 36, No. 3, C290-C308 (2014). MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Sci. Comput. 36, No. 3, C290--C308 (2014; Zbl 1297.65042) Full Text: DOI arXiv
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki A shift strategy for superquadratic convergence in the dqds algorithm for singular values. (English) Zbl 1294.65043 J. Comput. Appl. Math. 257, 132-143 (2014). MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{K. Aishima} et al., J. Comput. Appl. Math. 257, 132--143 (2014; Zbl 1294.65043) Full Text: DOI
Barreras, Alvaro; Peña, J. M. Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices. (English) Zbl 1313.65043 Numer. Linear Algebra Appl. 20, No. 3, 413-424 (2013). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 15B48 65F15 65F20 15A23 15A18 15A09 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Numer. Linear Algebra Appl. 20, No. 3, 413--424 (2013; Zbl 1313.65043) Full Text: DOI
Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel Conditioning and accurate computations with Pascal matrices. (English) Zbl 1291.65133 J. Comput. Appl. Math. 252, 21-26 (2013). MSC: 65F22 15B36 15A23 65F35 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 252, 21--26 (2013; Zbl 1291.65133) Full Text: DOI
Marco, Ana; Martínez, José-Javier Accurate computations with totally positive Bernstein-Vandermonde matrices. (English) Zbl 1283.65018 Electron. J. Linear Algebra 26, 357-380 (2013). MSC: 65F05 15B48 65F40 15A15 15A23 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Electron. J. Linear Algebra 26, 357--380 (2013; Zbl 1283.65018) Full Text: DOI
Huang, Rong A test and bidiagonal factorization for certain sign regular matrices. (English) Zbl 1269.15013 Linear Algebra Appl. 438, No. 3, 1240-1251 (2013). Reviewer: Edgar Pereira (Natal) MSC: 15A23 15A18 15A42 65F05 15B48 PDFBibTeX XMLCite \textit{R. Huang}, Linear Algebra Appl. 438, No. 3, 1240--1251 (2013; Zbl 1269.15013) Full Text: DOI
Van Zee, Field G.; van de Geijn, Robert A.; Quintana-Ortí, Gregorio; Elizondo, G. Joseph Families of algorithms for reducing a matrix to condensed form. (English) Zbl 1295.65052 ACM Trans. Math. Softw. 39, No. 1, Article No. 2, 32 p. (2012). MSC: 65F30 65F15 65Y10 65Y20 PDFBibTeX XMLCite \textit{F. G. Van Zee} et al., ACM Trans. Math. Softw. 39, No. 1, Article No. 2, 32 p. (2012; Zbl 1295.65052) Full Text: DOI
Willems, Paul R.; Lang, Bruno The \(\mathrm{MR}^{3}\)-GK algorithm for the bidiagonal SVD. (English) Zbl 1287.65030 ETNA, Electron. Trans. Numer. Anal. 39, 1-21 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{P. R. Willems} and \textit{B. Lang}, ETNA, Electron. Trans. Numer. Anal. 39, 1--21 (2012; Zbl 1287.65030) Full Text: EMIS
Huang, Rong On parametrization of totally nonpositive matrices and applications. (English) Zbl 1274.15049 Numer. Linear Algebra Appl. 19, No. 4, 742-753 (2012). Reviewer: Jose-Javier Martinez (Madrid) MSC: 15B48 15A23 65F05 PDFBibTeX XMLCite \textit{R. Huang}, Numer. Linear Algebra Appl. 19, No. 4, 742--753 (2012; Zbl 1274.15049) Full Text: DOI
Barreras, Alvaro; Pena, J. M. Bidiagonal decompositions, minors and applications. (English) Zbl 1251.15013 Electron. J. Linear Algebra 25, 60-71 (2012). MSC: 15A18 15A15 65F05 65F15 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Pena}, Electron. J. Linear Algebra 25, 60--71 (2012; Zbl 1251.15013) Full Text: DOI Link
Nakatsukasa, Yuji; Aishima, Kensuke; Yamazaki, Ichitaro dqds with aggressive early deflation. (English) Zbl 1248.65042 SIAM J. Matrix Anal. Appl. 33, No. 1, 22-51 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} et al., SIAM J. Matrix Anal. Appl. 33, No. 1, 22--51 (2012; Zbl 1248.65042) Full Text: DOI
Willems, Paul R.; Lang, Bruno Block factorizations and qd-type transformations for the \(\mathrm{MR}^3\) algorithm. (English) Zbl 1321.65058 ETNA, Electron. Trans. Numer. Anal. 38, 363-400 (2011). MSC: 65F15 65G50 15A18 15A23 PDFBibTeX XMLCite \textit{P. R. Willems} and \textit{B. Lang}, ETNA, Electron. Trans. Numer. Anal. 38, 363--400 (2011; Zbl 1321.65058) Full Text: EMIS
Kimura, K.; Yamashita, T.; Nakamura, Y. Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. (English) Zbl 1223.37068 J. Phys. A, Math. Theor. 44, No. 28, Article ID 285207, 12 p. (2011). MSC: 37J35 37K05 15A42 PDFBibTeX XMLCite \textit{K. Kimura} et al., J. Phys. A, Math. Theor. 44, No. 28, Article ID 285207, 12 p. (2011; Zbl 1223.37068) Full Text: DOI Link
Nazari, A. M.; Beiranvand, Z. The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices. (English) Zbl 1230.15007 Appl. Math. Comput. 217, No. 23, 9526-9531 (2011). Reviewer: Rabe von Randow (Bonn) MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{A. M. Nazari} and \textit{Z. Beiranvand}, Appl. Math. Comput. 217, No. 23, 9526--9531 (2011; Zbl 1230.15007) Full Text: DOI
Huang, Rong; Liu, Jianzhou Bidiagonal factorizations with some parameters equal to zero. (English) Zbl 1208.15011 Linear Algebra Appl. 434, No. 3, 730-740 (2011). Reviewer: Edgar Pereira (Covilha) MSC: 15A23 15A18 15A42 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Linear Algebra Appl. 434, No. 3, 730--740 (2011; Zbl 1208.15011) Full Text: DOI
Hessari, P.; Darvishi, M. T.; Shin, B.-C. Convergence analysis of preconditioned AOR iterative method. (English) Zbl 1225.65038 Honam Math. J. 32, No. 3, 399-412 (2010). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{P. Hessari} et al., Honam Math. J. 32, No. 3, 399--412 (2010; Zbl 1225.65038) Full Text: DOI
Willems, Paul On MR\(^3\)-type algorithms for the tridiagonal symmetric eigenproblem and bidiagonal SVD. (English) Zbl 1213.65066 Wuppertal: Univ. Wuppertal, Fachbereich Mathematik und Naturwissenschaften (Diss.). 247 p. (2010). MSC: 65F15 65F20 65F50 PDFBibTeX XMLCite \textit{P. Willems}, On MR\(^3\)-type algorithms for the tridiagonal symmetric eigenproblem and bidiagonal SVD. Wuppertal: Univ. Wuppertal, Fachbereich Mathematik und Naturwissenschaften (Diss.) (2010; Zbl 1213.65066) Full Text: Link
Marco, Ana; Martıńez, José-Javier Polynomial least squares fitting in the Bernstein basis. (English) Zbl 1202.65017 Linear Algebra Appl. 433, No. 7, 1254-1264 (2010). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65F20 65F35 15A06 15A23 65F50 62J05 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martıńez}, Linear Algebra Appl. 433, No. 7, 1254--1264 (2010; Zbl 1202.65017) Full Text: DOI arXiv
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki Superquadratic convergence of DLASQ for computing matrix singular values. (English) Zbl 1198.65078 J. Comput. Appl. Math. 234, No. 4, 1179-1187 (2010). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F20 PDFBibTeX XMLCite \textit{K. Aishima} et al., J. Comput. Appl. Math. 234, No. 4, 1179--1187 (2010; Zbl 1198.65078) Full Text: DOI
Marco, Ana; Martínez, José-Javier Accurate computations with Said-Ball-Vandermonde matrices. (English) Zbl 1189.65054 Linear Algebra Appl. 432, No. 11, 2894-2908 (2010). MSC: 65F05 65F15 15B48 15A23 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Linear Algebra Appl. 432, No. 11, 2894--2908 (2010; Zbl 1189.65054) Full Text: DOI arXiv
Purushothaman Nair, R. A simple and effective factorization procedure for matrices. (English) Zbl 1369.15008 Int. J. Math. Game Theory Algebra 18, No. 2, 145-160 (2009). MSC: 15A23 15A04 65F05 PDFBibTeX XMLCite \textit{R. Purushothaman Nair}, Int. J. Math. Game Theory Algebra 18, No. 2, 145--160 (2009; Zbl 1369.15008)
Triantafyllou, Dimitrios; Mitrouli, Marilena On the computation of the rank of block bidiagonal Toeplitz matrices. (English) Zbl 1162.65022 J. Comput. Appl. Math. 227, No. 1, 126-135 (2009). MSC: 65F30 15A03 65F50 68W30 65F05 PDFBibTeX XMLCite \textit{D. Triantafyllou} and \textit{M. Mitrouli}, J. Comput. Appl. Math. 227, No. 1, 126--135 (2009; Zbl 1162.65022) Full Text: DOI
Lin, Lu; Wei, Minglei An inverse eigenvalue problem for symmetric anti-bidiagonal matrix. (Chinese. English summary) Zbl 1174.15003 J. Math. Study 41, No. 2, 151-155 (2008). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{L. Lin} and \textit{M. Wei}, J. Math. Study 41, No. 2, 151--155 (2008; Zbl 1174.15003)
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki On convergence of the DQDS algorithm for singular value computation. (English) Zbl 1165.65018 SIAM J. Matrix Anal. Appl. 30, No. 2, 522-537 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 PDFBibTeX XMLCite \textit{K. Aishima} et al., SIAM J. Matrix Anal. Appl. 30, No. 2, 522--537 (2008; Zbl 1165.65018) Full Text: DOI Link
Liu, Xiao Ping; Fallat, Shaun M. Multiplicative principal-minor inequalities for a class of oscillatory matrices. (English) Zbl 1166.15009 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 4, Paper No. 92, 18 p. (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15B48 15A15 PDFBibTeX XMLCite \textit{X. P. Liu} and \textit{S. M. Fallat}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 4, Paper No. 92, 18 p. (2008; Zbl 1166.15009) Full Text: EuDML EMIS
Gassó, Maria T.; Torregrosa, Juan R. Bidiagonal factorizations and quasi-oscillatory rectangular matrices. (English) Zbl 1154.15022 Linear Algebra Appl. 429, No. 8-9, 1886-1893 (2008). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{M. T. Gassó} and \textit{J. R. Torregrosa}, Linear Algebra Appl. 429, No. 8--9, 1886--1893 (2008; Zbl 1154.15022) Full Text: DOI
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo Rigorous proof of cubic convergence for the dqds algorithm for singular values. (English) Zbl 1153.65041 Japan J. Ind. Appl. Math. 25, No. 1, 65-81 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F25 PDFBibTeX XMLCite \textit{K. Aishima} et al., Japan J. Ind. Appl. Math. 25, No. 1, 65--81 (2008; Zbl 1153.65041) Full Text: DOI
Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra Smoothness of Hessenberg and bidiagonal forms. (English) Zbl 1164.65015 Mediterr. J. Math. 5, No. 1, 21-31 (2008). Reviewer: Drahoslava Janovská (Praha) MSC: 65F30 65F05 15A21 PDFBibTeX XMLCite \textit{L. Dieci} et al., Mediterr. J. Math. 5, No. 1, 21--31 (2008; Zbl 1164.65015) Full Text: DOI
Yamamoto, Yusaku Equality conditions for lower bounds on the smallest singular value of a bidiagonal matrix. (English) Zbl 1153.15312 Appl. Math. Comput. 200, No. 1, 254-260 (2008). MSC: 15A42 PDFBibTeX XMLCite \textit{Y. Yamamoto}, Appl. Math. Comput. 200, No. 1, 254--260 (2008; Zbl 1153.15312) Full Text: DOI
Oruç, Halil LU factorization of the Vandermonde matrix and its applications. (English) Zbl 1152.15303 Appl. Math. Lett. 20, No. 9, 982-987 (2007). MSC: 15A23 39A13 PDFBibTeX XMLCite \textit{H. Oruç}, Appl. Math. Lett. 20, No. 9, 982--987 (2007; Zbl 1152.15303) Full Text: DOI
Campos, Carlos; Guerrero, David; Hernández, Vicente; Ralha, Rui Parallel bidiagonalization of a dense matrix. (English) Zbl 1145.65028 SIAM J. Matrix Anal. Appl. 29, No. 3, 826-837 (2007). MSC: 65F30 65Y05 15A21 PDFBibTeX XMLCite \textit{C. Campos} et al., SIAM J. Matrix Anal. Appl. 29, No. 3, 826--837 (2007; Zbl 1145.65028) Full Text: DOI
Koev, Plamen Accurate computations with totally nonnegative matrices. (English) Zbl 1198.65057 SIAM J. Matrix Anal. Appl. 29, No. 3, 731-751 (2007). MSC: 65F05 65F15 65F20 15B48 PDFBibTeX XMLCite \textit{P. Koev}, SIAM J. Matrix Anal. Appl. 29, No. 3, 731--751 (2007; Zbl 1198.65057) Full Text: DOI
Fallat, Shaun; Liu, Xiao Ping A class of oscillatory matrices with exponent \(n - 1\). (English) Zbl 1122.15010 Linear Algebra Appl. 424, No. 2-3, 466-479 (2007). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A15 15B48 PDFBibTeX XMLCite \textit{S. Fallat} and \textit{X. P. Liu}, Linear Algebra Appl. 424, No. 2--3, 466--479 (2007; Zbl 1122.15010) Full Text: DOI
Marco, Ana; Martínez, José-Javier A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems. (English) Zbl 1116.65038 Linear Algebra Appl. 422, No. 2-3, 616-628 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Linear Algebra Appl. 422, No. 2--3, 616--628 (2007; Zbl 1116.65038) Full Text: DOI arXiv
Turlach, Berwin A. An even faster algorithm for ridge regression of reduced rank data. (English) Zbl 1432.62224 Comput. Stat. Data Anal. 50, No. 3, 642-658 (2006). MSC: 62J07 62-08 65F20 PDFBibTeX XMLCite \textit{B. A. Turlach}, Comput. Stat. Data Anal. 50, No. 3, 642--658 (2006; Zbl 1432.62224) Full Text: DOI
Fallat, Shaun M.; Herman, Allen; Gekhtman, Michael I.; Johnson, Charles R. Compressions of totally positive matrices. (English) Zbl 1112.15024 SIAM J. Matrix Anal. Appl. 28, No. 1, 68-80 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A15 05C50 15A45 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., SIAM J. Matrix Anal. Appl. 28, No. 1, 68--80 (2006; Zbl 1112.15024) Full Text: DOI
Gasparo, Maria Grazia; Dieci, Luca; Papini, Alessandra Continuation of singular value decompositions. (English) Zbl 1170.65313 Mediterr. J. Math. 2, No. 2, 179-203 (2005). MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{M. G. Gasparo} et al., Mediterr. J. Math. 2, No. 2, 179--203 (2005; Zbl 1170.65313) Full Text: DOI
Holtz, Olga The inverse eigenvalue problem for symmetric anti-bidiagonal matrices. (English) Zbl 1080.15010 Linear Algebra Appl. 408, 268-274 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A18 15A29 15B48 15B57 PDFBibTeX XMLCite \textit{O. Holtz}, Linear Algebra Appl. 408, 268--274 (2005; Zbl 1080.15010) Full Text: DOI arXiv
Demmel, James; Koev, Plamen The accurate and efficient solution of a totally positive generalized Vandermonde linear system. (English) Zbl 1096.65031 SIAM J. Matrix Anal. Appl. 27, No. 1, 142-152 (2005). Reviewer: Georg Hebermehl (Berlin) MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{J. Demmel} and \textit{P. Koev}, SIAM J. Matrix Anal. Appl. 27, No. 1, 142--152 (2005; Zbl 1096.65031) Full Text: DOI
Koev, Plamen Accurate eigenvalues and SVDs of totally nonnegative matrices. (English) Zbl 1095.65031 SIAM J. Matrix Anal. Appl. 27, No. 1, 1-23 (2005). Reviewer: Keehwan Kim (Kyongsan) MSC: 65F15 15A18 65F35 15A12 PDFBibTeX XMLCite \textit{P. Koev}, SIAM J. Matrix Anal. Appl. 27, No. 1, 1--23 (2005; Zbl 1095.65031) Full Text: DOI
Parlett, Beresford N. A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. (English) Zbl 1081.15005 SIAM J. Matrix Anal. Appl. 26, No. 4, 1022-1057 (2005). Reviewer: Erich W. Ellers (Toronto) MSC: 15A18 15A23 15A12 65F15 PDFBibTeX XMLCite \textit{B. N. Parlett}, SIAM J. Matrix Anal. Appl. 26, No. 4, 1022--1057 (2005; Zbl 1081.15005) Full Text: DOI
Grosser, Benedikt; Lang, Bruno On symmetric eigenproblems induced by the bidiagonal SVD. (English) Zbl 1080.65026 SIAM J. Matrix Anal. Appl. 26, No. 3, 599-620 (2005). Reviewer: Oleksandr Kukush (Kyïv) MSC: 65F20 65G50 65F15 PDFBibTeX XMLCite \textit{B. Grosser} and \textit{B. Lang}, SIAM J. Matrix Anal. Appl. 26, No. 3, 599--620 (2005; Zbl 1080.65026) Full Text: DOI
Barlow, Jesse L.; Bosner, Nela; Drmač, Zlatko A new stable bidiagonal reduction algorithm. (English) Zbl 1069.65039 Linear Algebra Appl. 397, 35-84 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65F20 PDFBibTeX XMLCite \textit{J. L. Barlow} et al., Linear Algebra Appl. 397, 35--84 (2005; Zbl 1069.65039) Full Text: DOI
Dhillon, Inderjit S.; Parlett, Beresford N. Orthogonal eigenvectors and relative gaps. (English) Zbl 1068.65046 SIAM J. Matrix Anal. Appl. 25, No. 3, 858-899 (2004). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 65F15 65F25 15A23 PDFBibTeX XMLCite \textit{I. S. Dhillon} and \textit{B. N. Parlett}, SIAM J. Matrix Anal. Appl. 25, No. 3, 858--899 (2004; Zbl 1068.65046) Full Text: DOI
Oruç, Halil; Akmaz, Hakan K. Symmetric functions and the Vandermonde matrix. (English) Zbl 1063.15023 J. Comput. Appl. Math. 172, No. 1, 49-64 (2004). Reviewer: Adhemar Bultheel (Leuven) MSC: 15B57 15A09 65F05 11B75 05A10 05E05 PDFBibTeX XMLCite \textit{H. Oruç} and \textit{H. K. Akmaz}, J. Comput. Appl. Math. 172, No. 1, 49--64 (2004; Zbl 1063.15023) Full Text: DOI
Soliman, Mostafa I.; Sedukhin, Stanislav G. Matrix bidiagonalization: implementation and evaluation on the Trident processor. (English) Zbl 1090.65516 Neural Parallel Sci. Comput. 11, No. 4, 395-422 (2003). MSC: 65F30 65Y05 65Y10 PDFBibTeX XMLCite \textit{M. I. Soliman} and \textit{S. G. Sedukhin}, Neural Parallel Sci. Comput. 11, No. 4, 395--422 (2003; Zbl 1090.65516)
Fallat, Shaun M.; Gekhtman, Michael I.; Johnson, Charles R. Multiplicative principal-minor inequalities for totally nonnegative matrices. (English) Zbl 1030.15021 Adv. Appl. Math. 30, No. 3, 442-470 (2003). Reviewer: Martin Argerami (Regina) MSC: 15A45 15A15 15B48 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., Adv. Appl. Math. 30, No. 3, 442--470 (2003; Zbl 1030.15021) Full Text: DOI
Fallat, Shaun M.; Fiedler, Miroslav; Markham, Thomas L. Generalized oscillatory matrices. (English) Zbl 1026.15008 Linear Algebra Appl. 359, No. 1-3, 79-90 (2003). Reviewer: Alexander Guterman (Moskva) MSC: 15A23 15B33 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., Linear Algebra Appl. 359, No. 1--3, 79--90 (2003; Zbl 1026.15008) Full Text: DOI
Ralha, Rui One-sided reduction to bidiagonal form. (English) Zbl 1035.65045 Linear Algebra Appl. 358, No. 1-3, 219-238 (2003). Reviewer: Stanislav Míka (Plzeň) MSC: 65F30 15A21 65F20 65Y05 PDFBibTeX XMLCite \textit{R. Ralha}, Linear Algebra Appl. 358, No. 1--3, 219--238 (2003; Zbl 1035.65045) Full Text: DOI
Risteski, Ice B.; Trencevski, Kostadin G. Solutions of two problems of D. Ž. Djoković. (English) Zbl 1034.15006 Missouri J. Math. Sci. 14, No. 3, 9 p. (2002). MSC: 15A18 PDFBibTeX XMLCite \textit{I. B. Risteski} and \textit{K. G. Trencevski}, Missouri J. Math. Sci. 14, No. 3, 9 p. (2002; Zbl 1034.15006)
Iwasaki, Masashi; Nakamura, Yoshimasa On the convergence of a solution of the discrete Lotka-Volterra system. (English) Zbl 1021.35115 Inverse Probl. 18, No. 6, 1569-1578 (2002). MSC: 35Q58 37K60 15A18 PDFBibTeX XMLCite \textit{M. Iwasaki} and \textit{Y. Nakamura}, Inverse Probl. 18, No. 6, 1569--1578 (2002; Zbl 1021.35115) Full Text: DOI
Bar-On, Ilan; Leoncini, Mauro Reliable parallel solution of bidiagonal systems. (English) Zbl 0997.65048 Numer. Math. 90, No. 3, 415-440 (2002). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65F05 65F50 65Y05 PDFBibTeX XMLCite \textit{I. Bar-On} and \textit{M. Leoncini}, Numer. Math. 90, No. 3, 415--440 (2002; Zbl 0997.65048) Full Text: DOI
Yalamov, P. Y. Graphs and stability of algorithms. (English) Zbl 1099.65043 Calcolo 38, No. 1, 1-23 (2001). Reviewer: Drahoslava Janovská (Praha) MSC: 65G50 65F05 65F50 65Y05 PDFBibTeX XMLCite \textit{P. Y. Yalamov}, Calcolo 38, No. 1, 1--23 (2001; Zbl 1099.65043) Full Text: DOI
Fallat, Shaun M. Bidiagonal factorizations of totally nonnegative matrices. (English) Zbl 1032.15015 Am. Math. Mon. 108, No. 8, 697-712 (2001). Reviewer: Adhemar Bultheel (Leuven) MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{S. M. Fallat}, Am. Math. Mon. 108, No. 8, 697--712 (2001; Zbl 1032.15015) Full Text: DOI
Garey, L. E. An efficient algorithm for a model with a bidiagonal coefficient matrix. (English) Zbl 1024.65079 Appl. Math. Comput. 122, No. 3, 373-383 (2001). MSC: 65M06 65F05 65F50 35L45 80A20 80M20 PDFBibTeX XMLCite \textit{L. E. Garey}, Appl. Math. Comput. 122, No. 3, 373--383 (2001; Zbl 1024.65079) Full Text: DOI
Trefethen, Lloyd N.; Contedini, Marco; Embree, Mark Spectra, pseudospectra, and localization for random bidiagonal matrices. (English) Zbl 1025.15034 Commun. Pure Appl. Math. 54, No. 5, 595-623 (2001). MSC: 15B52 15A18 PDFBibTeX XMLCite \textit{L. N. Trefethen} et al., Commun. Pure Appl. Math. 54, No. 5, 595--623 (2001; Zbl 1025.15034) Full Text: DOI arXiv Link
Johnson, Charles R.; Olesky, D. D.; van den Driessche, P. Successively ordered elementary bidiagonal factorization. (English) Zbl 0983.15013 SIAM J. Matrix Anal. Appl. 22, No. 4, 1079-1088 (2001); erratum ibid. 25, No. 3, 900 (2004). Reviewer: Erich Ellers (Toronto) MSC: 15A23 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., SIAM J. Matrix Anal. Appl. 22, No. 4, 1079--1088 (2001; Zbl 0983.15013) Full Text: DOI
Askarpour, S.; Owens, T. J. On the eigenstructure of the bidiagonal realization. (English) Zbl 1037.93017 Int. J. Appl. Math. 4, No. 4, 397-411 (2000). Reviewer: Johannes W. Nieuwenhuis (Groningen) MSC: 93B17 93B15 15A18 93B25 93C05 PDFBibTeX XMLCite \textit{S. Askarpour} and \textit{T. J. Owens}, Int. J. Appl. Math. 4, No. 4, 397--411 (2000; Zbl 1037.93017)
Großer, Benedikt; Lang, Bruno Efficient parallel reduction to bidiagonal form. (English) Zbl 1062.65503 Parallel Comput. 25, No. 8, 969-986 (1999). MSC: 65F30 65Y05 PDFBibTeX XMLCite \textit{B. Großer} and \textit{B. Lang}, Parallel Comput. 25, No. 8, 969--986 (1999; Zbl 1062.65503) Full Text: DOI
Johnson, Charles R.; Olesky, D. D.; van den Driessche, P. Elementary bidiagonal factorizations. (English) Zbl 0933.15022 Linear Algebra Appl. 292, No. 1-3, 233-244 (1999). Reviewer: E.Ellers (Toronto) MSC: 15A23 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 292, No. 1--3, 233--244 (1999; Zbl 0933.15022) Full Text: DOI
Bar-On, Ilan; Leoncini, Mauro Reliable solution of bidiagonal systems with applications. (English) Zbl 0939.65038 BIT 39, No. 3, 403-416 (1999). Reviewer: Myron Sussman (Bethel Park) MSC: 65F05 65F50 65F35 65F22 65G50 PDFBibTeX XMLCite \textit{I. Bar-On} and \textit{M. Leoncini}, BIT 39, No. 3, 403--416 (1999; Zbl 0939.65038) Full Text: DOI
Yang, Baolin; Wang, Pingqia A type of domain decomposition method for the solution of banded linear systems. (English) Zbl 0945.65514 Tangmanee, E. (ed.) et al., Proceedings of the second Asian mathematical conference 1995, Nakhon Ratchasima, Thailand, October 17-20, 1995. Singapore: World Scientific. 475-479 (1998). MSC: 65F05 65N55 65M06 76M20 65F50 65Y05 PDFBibTeX XMLCite \textit{B. Yang} and \textit{P. Wang}, in: Proceedings of the second Asian mathematical conference 1995, Nakhon Ratchasima, Thailand, October 17--20, 1995. Singapore: World Scientific. 475--479 (1998; Zbl 0945.65514)
Martínez, J. J.; Peña, J. M. Factorizations of Cauchy-Vandermonde matrices. (English) Zbl 0935.65017 Linear Algebra Appl. 284, No. 1-3, 229-237 (1998). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{J. J. Martínez} and \textit{J. M. Peña}, Linear Algebra Appl. 284, No. 1--3, 229--237 (1998; Zbl 0935.65017) Full Text: DOI
Arbenz, Peter; Hegland, Markus On the stable parallel solution of general narrow banded linear systems. (English) Zbl 0930.65017 Arbenz, Peter (ed.) et al., High performance algorithms for structured matrix problems. Commack, NY: Nova Science Publishers. Advanced in the Theory of Computation and Computational Mathematics. 2, 47-73 (1998). MSC: 65F05 65F50 65Y05 PDFBibTeX XMLCite \textit{P. Arbenz} and \textit{M. Hegland}, in: High performance algorithms for structured matrix problems. Commack, NY: Nova Science Publishers. 47--73 (1998; Zbl 0930.65017)
Bar-On, Ilan; Leoncini, Mauro How does one solve a tridiagonal system of linear equations? (English) Zbl 0912.65013 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems. Proceedings of the 1st workshop, Varna, Bulgaria, June 7–11, 1997. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 62, 293-300 (1998). MSC: 65F05 65Y05 15-04 PDFBibTeX XMLCite \textit{I. Bar-On} and \textit{M. Leoncini}, Notes Numer. Fluid Mech. 62, 293--300 (1998; Zbl 0912.65013)
Parlett, Beresford N. New versions of \(qd\) for products of bidiagonals. (English) Zbl 1031.65044 Buhmann, Martin D. (ed.) et al., Approximation theory and optimization. Tributes to M. J. D. Powell on the occasion of his 60th birthday. Cambridge: Cambridge University Press. 183-200 (1997). MSC: 65F05 65F50 PDFBibTeX XMLCite \textit{B. N. Parlett}, in: Approximation theory and optimization. Tributes to M. J. D. Powell on the occasion of his 60th birthday. Cambridge: Cambridge University Press. 183--200 (1997; Zbl 1031.65044)
Tripathy, B. K.; Ghosh, S. K. Maximal group of triangular conservative matrices and bidiagonal methods. (English) Zbl 0908.40001 Bull. Malays. Math. Soc., II. Ser. 20, No. 1, 9-16 (1997). Reviewer: B.E.Rhoades (Bloomington) MSC: 40C05 40D09 PDFBibTeX XMLCite \textit{B. K. Tripathy} and \textit{S. K. Ghosh}, Bull. Malays. Math. Soc., II. Ser. 20, No. 1, 9--16 (1997; Zbl 0908.40001)
Larriba-Pey, Josep-L.; Jorba, Àngel; Navarro, Juan J. A generalized criterion for the early termination of \(R\)-cyclic reduction and divide and conquer for recurrences. (English) Zbl 0836.65039 Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 448-453 (1995). MSC: 65F05 65F50 65Y05 PDFBibTeX XMLCite \textit{J.-L. Larriba-Pey} et al., in: Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 448--453 (1995; Zbl 0836.65039)
Trefftz, C.; McKinley, P. K.; Li, T.-Y.; Zeng, Z. A parallel algorithm for the singular value problem in bidiagonal matrices. (English) Zbl 0836.65058 Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 62-67 (1995). MSC: 65F15 65F20 65Y05 PDFBibTeX XMLCite \textit{C. Trefftz} et al., in: Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 62--67 (1995; Zbl 0836.65058)
Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. (English) Zbl 0839.65050 Numer. Algorithms 10, No. 3-4, 379-399 (1995). Reviewer: N.Köckler (Paderborn) MSC: 65F30 65F15 15A21 15A12 65Y15 65Y20 65F35 PDFBibTeX XMLCite \textit{J. Choi} et al., Numer. Algorithms 10, No. 3--4, 379--399 (1995; Zbl 0839.65050) Full Text: DOI
Park, Haesun; Van Huffel, Sabine Two-way bidiagonalization scheme for downdating the singular-value decomposition. (English) Zbl 0833.65033 Linear Algebra Appl. 222, 23-39 (1995). Reviewer: R.Lamour (Berlin) MSC: 65F15 65F20 65Y05 65F30 PDFBibTeX XMLCite \textit{H. Park} and \textit{S. Van Huffel}, Linear Algebra Appl. 222, 23--39 (1995; Zbl 0833.65033) Full Text: DOI