Jia, Zhigang; Liu, Xuan; Zhu, Jingfei; Zhao, Meixiang Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets. (English) Zbl 1522.65072 Numer. Algorithms 93, No. 3, 1309-1335 (2023). MSC: 65F99 15A18 15B33 65F15 65F55 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Algorithms 93, No. 3, 1309--1335 (2023; Zbl 1522.65072) Full Text: DOI
Baglama, James; Perović, Vasilije; Picucci, Jennifer Hybrid iterative refined restarted Lanczos bidiagonalization methods. (English) Zbl 1506.65060 Numer. Algorithms 92, No. 2, 1183-1212 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 92, No. 2, 1183--1212 (2023; Zbl 1506.65060) Full Text: DOI
Benner, Peter; Heiland, Jan; Werner, Steffen W. R. A low-rank solution method for Riccati equations with indefinite quadratic terms. (English) Zbl 1506.65063 Numer. Algorithms 92, No. 2, 1083-1103 (2023). MSC: 65F45 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 92, No. 2, 1083--1103 (2023; Zbl 1506.65063) Full Text: DOI arXiv
Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul Computing Gaussian quadrature rules with high relative accuracy. (English) Zbl 1506.65053 Numer. Algorithms 92, No. 1, 767-793 (2023). MSC: 65D32 PDFBibTeX XMLCite \textit{T. Laudadio} et al., Numer. Algorithms 92, No. 1, 767--793 (2023; Zbl 1506.65053) Full Text: DOI
Fasino, Dario Orthogonal Cauchy-like matrices. (English) Zbl 1508.65037 Numer. Algorithms 92, No. 1, 619-637 (2023). MSC: 65F25 15B10 PDFBibTeX XMLCite \textit{D. Fasino}, Numer. Algorithms 92, No. 1, 619--637 (2023; Zbl 1508.65037) Full Text: DOI
Benner, Peter; Palitta, Davide; Saak, Jens On an integrated Krylov-ADI solver for large-scale Lyapunov equations. (English) Zbl 07644383 Numer. Algorithms 92, No. 1, 35-63 (2023). MSC: 65-XX 15A24 65F10 65F30 15A06 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 92, No. 1, 35--63 (2023; Zbl 07644383) Full Text: DOI arXiv
Eldén, Lars; Dehghan, Maryam A Krylov-Schur-like method for computing the best rank-\((r_1,r_2,r_3)\) approximation of large and sparse tensors. (English) Zbl 1500.65016 Numer. Algorithms 91, No. 3, 1315-1347 (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{M. Dehghan}, Numer. Algorithms 91, No. 3, 1315--1347 (2022; Zbl 1500.65016) Full Text: DOI arXiv
Dessole, Monica; Marcuzzi, Fabio Deviation maximization for rank-revealing QR factorizations. (English) Zbl 1503.65073 Numer. Algorithms 91, No. 3, 1047-1079 (2022). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{M. Dessole} and \textit{F. Marcuzzi}, Numer. Algorithms 91, No. 3, 1047--1079 (2022; Zbl 1503.65073) Full Text: DOI arXiv
Li, Bin; Lei, Yuan Hybrid algorithms with active set prediction for solving linear inequalities in a least squares sense. (English) Zbl 1492.65164 Numer. Algorithms 90, No. 3, 1327-1356 (2022). MSC: 65K05 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Lei}, Numer. Algorithms 90, No. 3, 1327--1356 (2022; Zbl 1492.65164) Full Text: DOI
Novaković, Vedran; Singer, Sanja A Kogbetliantz-type algorithm for the hyperbolic SVD. (English) Zbl 1492.65091 Numer. Algorithms 90, No. 2, 523-561 (2022). MSC: 65F15 65Y05 15A18 PDFBibTeX XMLCite \textit{V. Novaković} and \textit{S. Singer}, Numer. Algorithms 90, No. 2, 523--561 (2022; Zbl 1492.65091) Full Text: DOI arXiv
Zhou, Shenglong; Pan, Lili; Xiu, Naihua Newton method for \(\ell_0\)-regularized optimization. (English) Zbl 1482.65092 Numer. Algorithms 88, No. 4, 1541-1570 (2021). MSC: 65K05 90C46 90C27 PDFBibTeX XMLCite \textit{S. Zhou} et al., Numer. Algorithms 88, No. 4, 1541--1570 (2021; Zbl 1482.65092) Full Text: DOI arXiv
Kużelewski, Andrzej; Zieniuk, Eugeniusz The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries. (English) Zbl 1486.65292 Numer. Algorithms 88, No. 3, 1025-1050 (2021). MSC: 65R20 45F15 65N38 PDFBibTeX XMLCite \textit{A. Kużelewski} and \textit{E. Zieniuk}, Numer. Algorithms 88, No. 3, 1025--1050 (2021; Zbl 1486.65292) Full Text: DOI
Bartmeyer, Petra Maria; Bocanegra, Silvana; Oliveira, Aurelio Ribeiro Leite Switching preconditioners using a hybrid approach for linear systems arising from interior point methods for linear programming. (English) Zbl 1456.65039 Numer. Algorithms 86, No. 1, 397-424 (2021). MSC: 65K05 65F08 90C05 90C51 PDFBibTeX XMLCite \textit{P. M. Bartmeyer} et al., Numer. Algorithms 86, No. 1, 397--424 (2021; Zbl 1456.65039) Full Text: DOI
Bosner, Nela Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm. (English) Zbl 1456.65189 Numer. Algorithms 86, No. 1, 153-178 (2021). MSC: 65F15 15A21 15A18 15A23 65Y05 65Y20 PDFBibTeX XMLCite \textit{N. Bosner}, Numer. Algorithms 86, No. 1, 153--178 (2021; Zbl 1456.65189) Full Text: DOI
Mena, Hermann; Pfurtscheller, Lena-Maria; Stillfjord, Tony GPU acceleration of splitting schemes applied to differential matrix equations. (English) Zbl 1441.65057 Numer. Algorithms 83, No. 1, 395-419 (2020). Reviewer: Andreas Mang (Houston) MSC: 65L05 65F60 65Y20 PDFBibTeX XMLCite \textit{H. Mena} et al., Numer. Algorithms 83, No. 1, 395--419 (2020; Zbl 1441.65057) Full Text: DOI arXiv
Miao, Cun-Qiang Filtered Krylov-like sequence method for symmetric eigenvalue problems. (English) Zbl 1436.65039 Numer. Algorithms 82, No. 3, 791-807 (2019). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{C.-Q. Miao}, Numer. Algorithms 82, No. 3, 791--807 (2019; Zbl 1436.65039) Full Text: DOI
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing Lanczos method for large-scale quaternion singular value decomposition. (English) Zbl 07107363 Numer. Algorithms 82, No. 2, 699-717 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Algorithms 82, No. 2, 699--717 (2019; Zbl 07107363) Full Text: DOI
Zadeh, Najmeh Azizi; Tajaddini, Azita; Wu, Gang Weighted and deflated global GMRES algorithms for solving large Sylvester matrix equations. (English) Zbl 1420.65040 Numer. Algorithms 82, No. 1, 155-181 (2019). MSC: 65F10 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{N. A. Zadeh} et al., Numer. Algorithms 82, No. 1, 155--181 (2019; Zbl 1420.65040) Full Text: DOI arXiv
Li, Lu; Celledoni, Elena Krylov projection methods for linear Hamiltonian systems. (English) Zbl 1416.65515 Numer. Algorithms 81, No. 4, 1361-1378 (2019). MSC: 65P10 65F15 65F50 37M15 PDFBibTeX XMLCite \textit{L. Li} and \textit{E. Celledoni}, Numer. Algorithms 81, No. 4, 1361--1378 (2019; Zbl 1416.65515) Full Text: DOI arXiv
Rodríguez-Sánchez, Rafael; Catalán, Sandra; Herrero, José R.; Quintana-Ortí, Enrique S.; Tomás, Andrés E. Look-ahead in the two-sided reduction to compact band forms for symmetric eigenvalue problems and the SVD. (English) Zbl 1415.65090 Numer. Algorithms 80, No. 2, 635-660 (2019). MSC: 65F15 65F30 65Y05 PDFBibTeX XMLCite \textit{R. Rodríguez-Sánchez} et al., Numer. Algorithms 80, No. 2, 635--660 (2019; Zbl 1415.65090) Full Text: DOI arXiv Link
Nhan, Thái Anh; MacLachlan, Scott; Madden, Niall Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. (English) Zbl 1397.65044 Numer. Algorithms 79, No. 1, 281-310 (2018). MSC: 65F08 65M60 35K57 PDFBibTeX XMLCite \textit{T. A. Nhan} et al., Numer. Algorithms 79, No. 1, 281--310 (2018; Zbl 1397.65044) Full Text: DOI
Stillfjord, Tony Adaptive high-order splitting schemes for large-scale differential Riccati equations. (English) Zbl 1404.65060 Numer. Algorithms 78, No. 4, 1129-1151 (2018). Reviewer: Costică Moroşanu (Iaşi) MSC: 65L05 15A24 65F30 93A15 PDFBibTeX XMLCite \textit{T. Stillfjord}, Numer. Algorithms 78, No. 4, 1129--1151 (2018; Zbl 1404.65060) Full Text: DOI arXiv Link
Liu, Zexian; Liu, Hongwei An efficient gradient method with approximate optimal stepsize for large-scale unconstrained optimization. (English) Zbl 1397.90270 Numer. Algorithms 78, No. 1, 21-39 (2018). MSC: 90C06 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{H. Liu}, Numer. Algorithms 78, No. 1, 21--39 (2018; Zbl 1397.90270) Full Text: DOI
Alkilayh, Maged; Reichel, Lothar; Yuan, Jin Yun New zero-finders for trust-region computations. (English) Zbl 1394.65040 Numer. Algorithms 76, No. 2, 361-375 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 49M15 49M37 PDFBibTeX XMLCite \textit{M. Alkilayh} et al., Numer. Algorithms 76, No. 2, 361--375 (2017; Zbl 1394.65040) Full Text: DOI
Jandron, Michael A.; Ruffa, Anthony A.; Baglama, James An asynchronous direct solver for banded linear systems. (English) Zbl 1375.65046 Numer. Algorithms 76, No. 1, 211-235 (2017). MSC: 65F05 65Y15 65Y05 PDFBibTeX XMLCite \textit{M. A. Jandron} et al., Numer. Algorithms 76, No. 1, 211--235 (2017; Zbl 1375.65046) Full Text: DOI
Onunwor, Enyinda; Reichel, Lothar On the computation of a truncated SVD of a large linear discrete ill-posed problem. (English) Zbl 1368.65063 Numer. Algorithms 75, No. 2, 359-380 (2017). MSC: 65F20 65F22 PDFBibTeX XMLCite \textit{E. Onunwor} and \textit{L. Reichel}, Numer. Algorithms 75, No. 2, 359--380 (2017; Zbl 1368.65063) Full Text: DOI
Bergström, Per; Edlund, Ove Robust registration of surfaces using a refined iterative closest point algorithm with a trust region approach. (English) Zbl 1361.65038 Numer. Algorithms 74, No. 3, 755-779 (2017). Reviewer: Hang Lau (Montréal) MSC: 65K05 65D18 90C51 90C30 PDFBibTeX XMLCite \textit{P. Bergström} and \textit{O. Edlund}, Numer. Algorithms 74, No. 3, 755--779 (2017; Zbl 1361.65038) Full Text: DOI
Shahzadeh Fazeli, S. A.; Emad, Nahid; Liu, Zifan A key to choose subspace size in implicitly restarted Arnoldi method. (English) Zbl 1326.65051 Numer. Algorithms 70, No. 2, 407-426 (2015). MSC: 65F15 PDFBibTeX XMLCite \textit{S. A. Shahzadeh Fazeli} et al., Numer. Algorithms 70, No. 2, 407--426 (2015; Zbl 1326.65051) Full Text: DOI HAL
Jia, Zhongxiao; Lv, Hui A posteriori error estimates of Krylov subspace approximations to matrix functions. (English) Zbl 1331.65069 Numer. Algorithms 69, No. 1, 1-28 (2015). Reviewer: João R. Cardoso (Coimbra) MSC: 65F60 65F10 15A16 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Lv}, Numer. Algorithms 69, No. 1, 1--28 (2015; Zbl 1331.65069) Full Text: DOI arXiv
Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study. (English) Zbl 1312.65037 Numer. Algorithms 68, No. 4, 813-836 (2015). MSC: 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{C. Janna} et al., Numer. Algorithms 68, No. 4, 813--836 (2015; Zbl 1312.65037) Full Text: DOI
Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. (English) Zbl 1305.65158 Numer. Algorithms 67, No. 3, 669-690 (2014). MSC: 65K10 93C55 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 67, No. 3, 669--690 (2014; Zbl 1305.65158) Full Text: DOI Link
Kchouk, Bilel; Dussault, Jean-Pierre On per-iteration complexity of high order Chebyshev methods for sparse functions with banded Hessians. (English) Zbl 1298.49050 Numer. Algorithms 66, No. 4, 885-909 (2014). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49M37 90C30 90C60 68Q25 PDFBibTeX XMLCite \textit{B. Kchouk} and \textit{J.-P. Dussault}, Numer. Algorithms 66, No. 4, 885--909 (2014; Zbl 1298.49050) Full Text: DOI
Wang, Fu-Sheng; Jian, Jin-Bao; Wang, Chuan-Long A model-hybrid approach for unconstrained optimization problems. (English) Zbl 1300.65043 Numer. Algorithms 66, No. 4, 741-759 (2014). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 90C51 90C53 PDFBibTeX XMLCite \textit{F.-S. Wang} et al., Numer. Algorithms 66, No. 4, 741--759 (2014; Zbl 1300.65043) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. (English) Zbl 1300.65021 Numer. Algorithms 66, No. 2, 363-377 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 66, No. 2, 363--377 (2014; Zbl 1300.65021) Full Text: DOI
Lawrence, Piers W.; Corless, Robert M. Stability of rootfinding for barycentric Lagrange interpolants. (English) Zbl 1297.65051 Numer. Algorithms 65, No. 3, 447-464 (2014). Reviewer: Alyson Reeves (Bowie) MSC: 65H04 65H17 65F15 65D05 PDFBibTeX XMLCite \textit{P. W. Lawrence} and \textit{R. M. Corless}, Numer. Algorithms 65, No. 3, 447--464 (2014; Zbl 1297.65051) Full Text: DOI
Duintjer Tebbens, Jurjen; Meurant, Gérard Prescribing the behavior of early terminating GMRES and Arnoldi iterations. (English) Zbl 1288.65037 Numer. Algorithms 65, No. 1, 69-90 (2014). Reviewer: Martin Reißel (Aachen) MSC: 65F10 PDFBibTeX XMLCite \textit{J. Duintjer Tebbens} and \textit{G. Meurant}, Numer. Algorithms 65, No. 1, 69--90 (2014; Zbl 1288.65037) Full Text: DOI
Vasconcelos, Paulo B.; d’Almeida, Filomena D.; Roman, Jose E. A Jacobi-Davidson type method with a correction equation tailored for integral operators. (English) Zbl 1276.65096 Numer. Algorithms 64, No. 1, 85-103 (2013). MSC: 65R20 45C05 45P05 65Y05 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Numer. Algorithms 64, No. 1, 85--103 (2013; Zbl 1276.65096) Full Text: DOI
Li, Tiexiang; Weng, Peter Chang-Yi; Chu, Eric King-wah; Lin, Wen-Wei Large-scale Stein and Lyapunov equations, Smith method, and applications. (English) Zbl 1271.65079 Numer. Algorithms 63, No. 4, 727-752 (2013). MSC: 65F30 15A24 65F10 65Y20 PDFBibTeX XMLCite \textit{T. Li} et al., Numer. Algorithms 63, No. 4, 727--752 (2013; Zbl 1271.65079) Full Text: DOI
Frederix, Katrijn; Delvaux, Steven; Van Barel, Marc An algorithm for computing the eigenvalues of block companion matrices. (English) Zbl 1260.65024 Numer. Algorithms 62, No. 2, 261-287 (2013). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{K. Frederix} et al., Numer. Algorithms 62, No. 2, 261--287 (2013; Zbl 1260.65024) Full Text: DOI Link
Benner, Peter; Kürschner, Patrick; Saak, Jens Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. (English) Zbl 1267.65047 Numer. Algorithms 62, No. 2, 225-251 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F30 65F10 15A24 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 62, No. 2, 225--251 (2013; Zbl 1267.65047) Full Text: DOI
Campos, Carmen; Roman, Jose E. Strategies for spectrum slicing based on restarted Lanczos methods. (English) Zbl 1245.65040 Numer. Algorithms 60, No. 2, 279-295 (2012). MSC: 65F15 65Y05 65Y15 PDFBibTeX XMLCite \textit{C. Campos} and \textit{J. E. Roman}, Numer. Algorithms 60, No. 2, 279--295 (2012; Zbl 1245.65040) Full Text: DOI Link
Dookhitram, Kumar; Boojhawon, Ravindra; Gopaul, Ashvin; Bhuruth, Muddun A-posteriori residual bounds for Arnoldi’s methods for nonsymmetric eigenvalue problems. (English) Zbl 1211.65045 Numer. Algorithms 56, No. 4, 481-495 (2011). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Dookhitram} et al., Numer. Algorithms 56, No. 4, 481--495 (2011; Zbl 1211.65045) Full Text: DOI
Aricò, Antonio; Rodriguez, Giuseppe A fast solver for linear systems with displacement structure. (English) Zbl 1203.65062 Numer. Algorithms 55, No. 4, 529-556 (2010). MSC: 65F05 PDFBibTeX XMLCite \textit{A. Aricò} and \textit{G. Rodriguez}, Numer. Algorithms 55, No. 4, 529--556 (2010; Zbl 1203.65062) Full Text: DOI arXiv
Giraud, L.; Haidar, A. Parallel algebraic hybrid solvers for large 3D convection-diffusion problems. (English) Zbl 1167.65355 Numer. Algorithms 51, No. 2, 151-177 (2009). MSC: 65F10 35J25 65N55 65F50 65Y05 PDFBibTeX XMLCite \textit{L. Giraud} and \textit{A. Haidar}, Numer. Algorithms 51, No. 2, 151--177 (2009; Zbl 1167.65355) Full Text: DOI
Sutton, Brian D. Computing the complete CS decomposition. (English) Zbl 1167.65360 Numer. Algorithms 50, No. 1, 33-65 (2009). MSC: 65F20 65F15 15A23 15A18 PDFBibTeX XMLCite \textit{B. D. Sutton}, Numer. Algorithms 50, No. 1, 33--65 (2009; Zbl 1167.65360) Full Text: DOI arXiv
Martín-Vaquero, J.; Vigo-Aguiar, J. Exponential fitted Gauss, Radau and Lobatto methods of low order. (English) Zbl 1148.65059 Numer. Algorithms 48, No. 4, 327-346 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L60 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{J. Vigo-Aguiar}, Numer. Algorithms 48, No. 4, 327--346 (2008; Zbl 1148.65059) Full Text: DOI
Zhou, Yunkai; Saad, Yousef Block Krylov-Schur method for large symmetric eigenvalue problems. (English) Zbl 1153.65330 Numer. Algorithms 47, No. 4, 341-359 (2008). MSC: 65F15 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Y. Saad}, Numer. Algorithms 47, No. 4, 341--359 (2008; Zbl 1153.65330) Full Text: DOI
Eidelman, Yuli; Gemignani, Luca; Gohberg, Israel Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations. (English) Zbl 1139.65026 Numer. Algorithms 47, No. 3, 253-273 (2008). MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{Y. Eidelman} et al., Numer. Algorithms 47, No. 3, 253--273 (2008; Zbl 1139.65026) Full Text: DOI
Baglama, James; Reichel, Lothar Restarted block Lanczos bidiagonalization methods. (English) Zbl 1110.65027 Numer. Algorithms 43, No. 3, 251-272 (2006). MSC: 65F15 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, Numer. Algorithms 43, No. 3, 251--272 (2006; Zbl 1110.65027) Full Text: DOI
Jia, Zhongxiao Using cross-product matrices to compute the SVD. (English) Zbl 1105.65037 Numer. Algorithms 42, No. 1, 31-61 (2006). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F20 65F15 65G50 PDFBibTeX XMLCite \textit{Z. Jia}, Numer. Algorithms 42, No. 1, 31--61 (2006; Zbl 1105.65037) Full Text: DOI
Dominguez, Juan; González-Lima, María D. A primal-dual interior-point algorithm for quadratic programming. (English) Zbl 1105.65065 Numer. Algorithms 42, No. 1, 1-30 (2006). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C20 90C51 90C06 PDFBibTeX XMLCite \textit{J. Dominguez} and \textit{M. D. González-Lima}, Numer. Algorithms 42, No. 1, 1--30 (2006; Zbl 1105.65065) Full Text: DOI
Salam, Ahmed On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms. (English) Zbl 1111.65038 Numer. Algorithms 39, No. 4, 437-462 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F25 65F15 65F50 15A23 PDFBibTeX XMLCite \textit{A. Salam}, Numer. Algorithms 39, No. 4, 437--462 (2005; Zbl 1111.65038) Full Text: DOI
Mastronardi, N.; Van Camp, E; Van Barel, M. Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. (English) Zbl 1105.65035 Numer. Algorithms 39, No. 4, 379-398 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Numer. Algorithms 39, No. 4, 379--398 (2005; Zbl 1105.65035) Full Text: DOI
Kågström, Bo; Poromaa, Peter Computing eigenspaces with specified eigenvalues of a regular matrix pair \((A,B)\) and condition estimation: Theory, algorithms and software. (English) Zbl 0859.65036 Numer. Algorithms 12, No. 3-4, 369-407 (1996). Reviewer: V.Burjan (Praha) MSC: 65F15 15A22 65F05 65F35 65Y20 PDFBibTeX XMLCite \textit{B. Kågström} and \textit{P. Poromaa}, Numer. Algorithms 12, No. 3--4, 369--407 (1996; Zbl 0859.65036) Full Text: DOI
Gallivan, K.; Grimme, E.; Van Dooren, P. A rational Lanczos algorithm for model reduction. (English) Zbl 0870.65053 Numer. Algorithms 12, No. 1-2, 33-63 (1996). Reviewer: G.Jumarie (Montréal) MSC: 65K10 93C15 93A99 65F15 PDFBibTeX XMLCite \textit{K. Gallivan} et al., Numer. Algorithms 12, No. 1--2, 33--63 (1996; Zbl 0870.65053) Full Text: DOI
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. Model reduction of state space systems via an implicitly restarted Lanczos method. (English) Zbl 0870.65052 Numer. Algorithms 12, No. 1-2, 1-31 (1996). Reviewer: G.Jumarie (Montréal) MSC: 65K10 93A99 93C15 65F15 PDFBibTeX XMLCite \textit{E. J. Grimme} et al., Numer. Algorithms 12, No. 1--2, 1--31 (1996; Zbl 0870.65052) Full Text: DOI
Morandi Cecchi, M.; Di Nardo, E. The modified bordering method to evaluate eigenvalues and eigenvectors of normal matrices. (English) Zbl 0856.65034 Numer. Algorithms 11, No. 1-4, 285-309 (1996). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 PDFBibTeX XMLCite \textit{M. Morandi Cecchi} and \textit{E. Di Nardo}, Numer. Algorithms 11, No. 1--4, 285--309 (1996; Zbl 0856.65034) Full Text: DOI
Calvetti, D.; Reichel, L. A hybrid iterative method for symmetric positive definite linear systems. (English) Zbl 0853.65042 Numer. Algorithms 11, No. 1-4, 79-98 (1996). Reviewer: A.Bultheel (Leuven) MSC: 65F10 15A42 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, Numer. Algorithms 11, No. 1--4, 79--98 (1996; Zbl 0853.65042) Full Text: DOI
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
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang An algorithm for the generalized symmetric tridiagonal eigenvalue problem. (English) Zbl 0821.65018 Numer. Algorithms 8, No. 2-4, 269-291 (1994). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Algorithms 8, No. 2--4, 269--291 (1994; Zbl 0821.65018) Full Text: DOI
Dubrulle, Augustin A.; Golub, Gene H. A multishift QR iteration without computation of the shifts. (English) Zbl 0811.65029 Numer. Algorithms 7, No. 2-4, 173-181 (1994). Reviewer: E.Kreyszig (Ottawa) MSC: 65F15 PDFBibTeX XMLCite \textit{A. A. Dubrulle} and \textit{G. H. Golub}, Numer. Algorithms 7, No. 2--4, 173--181 (1994; Zbl 0811.65029) Full Text: DOI
Li, Kuiyuan; Li, Tien-Yien A homotopy algorithm for a symmetric generalized eigenproblem. (English) Zbl 0779.65024 Numer. Algorithms 4, No. 1-2, 167-195 (1993). Reviewer: E.L.Allgower (Fort Collins) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{K. Li} and \textit{T.-Y. Li}, Numer. Algorithms 4, No. 1--2, 167--195 (1993; Zbl 0779.65024) Full Text: DOI
Ferng, William R.; Golub, Gene H.; Plemmons, Robert J. Adaptive Lanczos methods for recursive condition estimation. (English) Zbl 0794.65043 Numer. Algorithms 1, No. 1, 1-19 (1991). Reviewer: G.Stoyan (Budapest) MSC: 65F35 15A12 65F10 65F15 PDFBibTeX XMLCite \textit{W. R. Ferng} et al., Numer. Algorithms 1, No. 1, 1--19 (1991; Zbl 0794.65043) Full Text: DOI