Strazzullo, Maria; Vicini, Fabio POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control. (English) Zbl 07736215 Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023). MSC: 49J20 46N40 65N30 PDFBibTeX XMLCite \textit{M. Strazzullo} and \textit{F. Vicini}, Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023; Zbl 07736215) Full Text: DOI arXiv
Baglama, James; Perović, Vasilije; Toolan, Timothy Note on a rank-one modification of the singular value decomposition. (English) Zbl 07736201 Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023). MSC: 65Fxx 15Axx 15-XX PDFBibTeX XMLCite \textit{J. Baglama} et al., Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023; Zbl 07736201) Full Text: DOI
Zou, Qinmeng GMRES algorithms over 35 years. (English) Zbl 1511.65002 Appl. Math. Comput. 445, Article ID 127869, 23 p. (2023). MSC: 65-03 65F10 65Y05 PDFBibTeX XMLCite \textit{Q. Zou}, Appl. Math. Comput. 445, Article ID 127869, 23 p. (2023; Zbl 1511.65002) Full Text: DOI arXiv
Agosti, A.; Giotta Lucifero, A.; Luzzi, S. An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis. (English) Zbl 1511.35351 Appl. Math. Comput. 445, Article ID 127834, 33 p. (2023). MSC: 35Q92 65M60 76T30 92C50 92C55 PDFBibTeX XMLCite \textit{A. Agosti} et al., Appl. Math. Comput. 445, Article ID 127834, 33 p. (2023; Zbl 1511.35351) Full Text: DOI arXiv
Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. (English) Zbl 1511.49017 Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023). MSC: 49L20 35Q30 49M41 65K05 76D05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023; Zbl 1511.49017) Full Text: DOI arXiv
Uzunca, Murat; Karasözen, Bülent; Aydın, Ayhan Global energy preserving model reduction for multi-symplectic PDEs. (English) Zbl 1510.35279 Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023). MSC: 35Q53 35Q55 65M06 65P10 PDFBibTeX XMLCite \textit{M. Uzunca} et al., Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023; Zbl 1510.35279) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
Redmann, Martin; Duff, Igor Pontes Full state approximation by Galerkin projection reduced order models for stochastic and bilinear systems. (English) Zbl 1510.93058 Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022). MSC: 93B11 60H10 65C30 93E15 PDFBibTeX XMLCite \textit{M. Redmann} and \textit{I. P. Duff}, Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022; Zbl 1510.93058) Full Text: DOI arXiv
Li, Zhe; Zhang, Chunlei The verification of multiplicity support of a defective eigenvalue of a real matrix. (English) Zbl 1510.65067 Appl. Math. Comput. 414, Article ID 126671, 15 p. (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Li} and \textit{C. Zhang}, Appl. Math. Comput. 414, Article ID 126671, 15 p. (2022; Zbl 1510.65067) Full Text: DOI
Lee, Yan-Li; Dong, Qiang; Zhou, Tao Link prediction via controlling the leading eigenvector. (English) Zbl 1510.05271 Appl. Math. Comput. 411, Article ID 126517, 9 p. (2021). MSC: 05C82 91D30 PDFBibTeX XMLCite \textit{Y.-L. Lee} et al., Appl. Math. Comput. 411, Article ID 126517, 9 p. (2021; Zbl 1510.05271) Full Text: DOI arXiv
Behr, Maximilian; Benner, Peter; Heiland, Jan Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. (English) Zbl 1510.65168 Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021). MSC: 65L60 15A24 PDFBibTeX XMLCite \textit{M. Behr} et al., Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021; Zbl 1510.65168) Full Text: DOI
Mitjana, F.; Cafieri, S.; Bugarin, F.; Segonds, S.; Castanie, F.; Duysinx, P. Topological gradient in structural optimization under stress and buckling constraints. (English) Zbl 1510.74102 Appl. Math. Comput. 409, Article ID 126032, 22 p. (2021). MSC: 74P15 49Q12 74G60 PDFBibTeX XMLCite \textit{F. Mitjana} et al., Appl. Math. Comput. 409, Article ID 126032, 22 p. (2021; Zbl 1510.74102) Full Text: DOI HAL
di Serafino, Daniela; Toraldo, Gerardo; Viola, Marco Using gradient directions to get global convergence of Newton-type methods. (English) Zbl 1510.65116 Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021). MSC: 65K05 49M15 90C26 90C53 PDFBibTeX XMLCite \textit{D. di Serafino} et al., Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021; Zbl 1510.65116) Full Text: DOI arXiv
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman Reduced order modelling of nonlinear cross-diffusion systems. (English) Zbl 1508.37116 Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021). MSC: 37N25 35K57 35K61 65L05 65M06 92D25 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021; Zbl 1508.37116) Full Text: DOI arXiv
Staub, Ruben; Steinmann, Stephan N. Efficient recursive least squares solver for rank-deficient matrices. (English) Zbl 1508.65036 Appl. Math. Comput. 399, Article ID 125996, 17 p. (2021). MSC: 65F20 94A12 PDFBibTeX XMLCite \textit{R. Staub} and \textit{S. N. Steinmann}, Appl. Math. Comput. 399, Article ID 125996, 17 p. (2021; Zbl 1508.65036) Full Text: DOI arXiv
Wang, Shaoxin An efficient numerical method for condition number constrained covariance matrix approximation. (English) Zbl 1508.65038 Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang}, Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021; Zbl 1508.65038) Full Text: DOI arXiv
Costa, Carina Moreira; Grapiglia, Geovani Nunes A subspace version of the Wang-Yuan augmented Lagrangian-trust region method for equality constrained optimization. (English) Zbl 1472.90127 Appl. Math. Comput. 387, Article ID 124861, 13 p. (2020). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. M. Costa} and \textit{G. N. Grapiglia}, Appl. Math. Comput. 387, Article ID 124861, 13 p. (2020; Zbl 1472.90127) Full Text: DOI
Vorozhtsov, Evgenii V.; Shapeev, Vasily P. On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals. (English) Zbl 1433.65244 Appl. Math. Comput. 363, Article ID 124644, 19 p. (2019). MSC: 65M70 PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} and \textit{V. P. Shapeev}, Appl. Math. Comput. 363, Article ID 124644, 19 p. (2019; Zbl 1433.65244) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics. (English) Zbl 1428.78031 Appl. Math. Comput. 358, 128-145 (2019). MSC: 78M10 65M60 78A55 PDFBibTeX XMLCite \textit{K. Li} et al., Appl. Math. Comput. 358, 128--145 (2019; Zbl 1428.78031) Full Text: DOI
Akman Yıldız, Tuğba; Uzunca, Murat; Karasözen, Bülent Structure preserving reduced order modeling for gradient systems. (English) Zbl 1429.65223 Appl. Math. Comput. 347, 194-209 (2019). MSC: 65M60 65P10 PDFBibTeX XMLCite \textit{T. Akman Yıldız} et al., Appl. Math. Comput. 347, 194--209 (2019; Zbl 1429.65223) Full Text: DOI arXiv
Nino-Ruiz, Elias D.; Ardila, Carlos; Estrada, Jesus; Capacho, Jose A reduced-space line-search method for unconstrained optimization via random descent directions. (English) Zbl 1428.90136 Appl. Math. Comput. 341, 15-30 (2019). MSC: 90C26 49K10 49M05 49M15 65K05 PDFBibTeX XMLCite \textit{E. D. Nino-Ruiz} et al., Appl. Math. Comput. 341, 15--30 (2019; Zbl 1428.90136) Full Text: DOI
Gu, Chuanqing; Jiang, Xianglong; Nie, Ying; Chen, Zhibing A preprocessed multi-step splitting iteration for computing PageRank. (English) Zbl 1427.65046 Appl. Math. Comput. 338, 87-100 (2018). MSC: 65F15 65F10 68M11 PDFBibTeX XMLCite \textit{C. Gu} et al., Appl. Math. Comput. 338, 87--100 (2018; Zbl 1427.65046) Full Text: DOI
Cosme, Iria C. S.; Fernandes, Isaac F.; de Carvalho, João L.; Xavier-de-Souza, Samuel Memory-usage advantageous block recursive matrix inverse. (English) Zbl 1427.65034 Appl. Math. Comput. 328, 125-136 (2018). MSC: 65F05 15A09 PDFBibTeX XMLCite \textit{I. C. S. Cosme} et al., Appl. Math. Comput. 328, 125--136 (2018; Zbl 1427.65034) Full Text: DOI arXiv
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin Fast tensor product solvers for optimization problems with fractional differential equations as constraints. (English) Zbl 1410.49018 Appl. Math. Comput. 273, 604-623 (2016). MSC: 49K20 35R11 49M25 PDFBibTeX XMLCite \textit{S. Dolgov} et al., Appl. Math. Comput. 273, 604--623 (2016; Zbl 1410.49018) Full Text: DOI Link
Rehman, Abdur; Wang, Qing-Wen A system of matrix equations with five variables. (English) Zbl 1410.15033 Appl. Math. Comput. 271, 805-819 (2015). MSC: 15A24 11R52 15A09 15B57 PDFBibTeX XMLCite \textit{A. Rehman} and \textit{Q.-W. Wang}, Appl. Math. Comput. 271, 805--819 (2015; Zbl 1410.15033) Full Text: DOI
Giani, Stefano Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods. (English) Zbl 1410.65437 Appl. Math. Comput. 267, 618-631 (2015). MSC: 65N25 35J25 35P05 65N30 PDFBibTeX XMLCite \textit{S. Giani}, Appl. Math. Comput. 267, 618--631 (2015; Zbl 1410.65437) Full Text: DOI Link
Giani, Stefano \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains. (English) Zbl 1410.65436 Appl. Math. Comput. 267, 604-617 (2015). MSC: 65N25 35J25 35P05 65N30 PDFBibTeX XMLCite \textit{S. Giani}, Appl. Math. Comput. 267, 604--617 (2015; Zbl 1410.65436) Full Text: DOI
Peretti Pezzi, Guilherme; Vaissié, Evelyne; Viala, Yann; Caromel, Denis; Gourbesville, Philippe Parallel profiling of water distribution networks using the Clément formula. (English) Zbl 1410.86011 Appl. Math. Comput. 267, 83-95 (2015). MSC: 86A05 65Y15 68M10 86-08 PDFBibTeX XMLCite \textit{G. Peretti Pezzi} et al., Appl. Math. Comput. 267, 83--95 (2015; Zbl 1410.86011) Full Text: DOI Link
Rehman, Abdur; Wang, Qing-Wen; He, Zhuo-Heng Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity. (English) Zbl 1410.15034 Appl. Math. Comput. 265, 945-957 (2015). MSC: 15A24 11R52 15A09 15B57 PDFBibTeX XMLCite \textit{A. Rehman} et al., Appl. Math. Comput. 265, 945--957 (2015; Zbl 1410.15034) Full Text: DOI
Malyutina, Elena; Ponosov, Arcady; Wyller, John Numerical analysis of bump solutions for neural field equations with periodic microstructure. (English) Zbl 1410.92011 Appl. Math. Comput. 260, 370-384 (2015). MSC: 92B20 PDFBibTeX XMLCite \textit{E. Malyutina} et al., Appl. Math. Comput. 260, 370--384 (2015; Zbl 1410.92011) Full Text: DOI Link
Ibrir, S.; Bettayeb, M. Model reduction of a class of discrete-time nonlinear systems. (English) Zbl 1328.93069 Appl. Math. Comput. 250, 78-93 (2015). MSC: 93B17 39B42 94C05 PDFBibTeX XMLCite \textit{S. Ibrir} and \textit{M. Bettayeb}, Appl. Math. Comput. 250, 78--93 (2015; Zbl 1328.93069) Full Text: DOI
Bouchala, Jiří; Dostál, Zdeněk; Kozubek, Tomáš; Pospíšil, Lukáš; Vodstrčil, Petr On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature. (English) Zbl 1338.90290 Appl. Math. Comput. 247, 848-864 (2014). MSC: 90C20 90C25 PDFBibTeX XMLCite \textit{J. Bouchala} et al., Appl. Math. Comput. 247, 848--864 (2014; Zbl 1338.90290) Full Text: DOI
Yu, Haodong A new active-set strategy for NCP with degenerate solutions. (English) Zbl 1334.65117 Appl. Math. Comput. 236, 118-128 (2014). MSC: 65K15 PDFBibTeX XMLCite \textit{H. Yu}, Appl. Math. Comput. 236, 118--128 (2014; Zbl 1334.65117) Full Text: DOI
Katsouleas, Georgios; Maroulas, John Interaction between Hermitian and normal imbeddings. (English) Zbl 1336.65056 Appl. Math. Comput. 233, 557-564 (2014). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{G. Katsouleas} and \textit{J. Maroulas}, Appl. Math. Comput. 233, 557--564 (2014; Zbl 1336.65056) Full Text: DOI
Fabregat-Traver, Diego; Aulchenko, Yurii S.; Bientinesi, Paolo Solving sequences of generalized least-squares problems on multi-threaded architectures. (English) Zbl 1298.65203 Appl. Math. Comput. 234, 606-617 (2014). MSC: 65Y10 65F99 62J12 62P10 92D20 PDFBibTeX XMLCite \textit{D. Fabregat-Traver} et al., Appl. Math. Comput. 234, 606--617 (2014; Zbl 1298.65203) Full Text: DOI arXiv
He, Zhuo-Heng; Wang, Qing-Wen Solutions to optimization problems on ranks and inertias of a matrix function with applications. (English) Zbl 1309.15025 Appl. Math. Comput. 219, No. 6, 2989-3001 (2012). MSC: 15A24 15B57 PDFBibTeX XMLCite \textit{Z.-H. He} and \textit{Q.-W. Wang}, Appl. Math. Comput. 219, No. 6, 2989--3001 (2012; Zbl 1309.15025) Full Text: DOI
El-Sobky, Bothina A multiplier active-set trust-region algorithm for solving constrained optimization problem. (English) Zbl 1320.90080 Appl. Math. Comput. 219, No. 3, 928-946 (2012). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{B. El-Sobky}, Appl. Math. Comput. 219, No. 3, 928--946 (2012; Zbl 1320.90080) Full Text: DOI
Aliaga, José I.; Bientinesi, Paolo; Davidović, Davor; Di Napoli, Edoardo; Igual, Francisco D.; Quintana-Ortí, Enrique S. Solving dense generalized eigenproblems on multi-threaded architectures. (English) Zbl 1278.65037 Appl. Math. Comput. 218, No. 22, 11279-11289 (2012). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{J. I. Aliaga} et al., Appl. Math. Comput. 218, No. 22, 11279--11289 (2012; Zbl 1278.65037) Full Text: DOI arXiv
Ji, Ying; Li, Yijun; Lu, Pengyu A global optimization algorithm for sum of quadratic ratios problem with coefficients. (English) Zbl 1245.90089 Appl. Math. Comput. 218, No. 19, 9965-9973 (2012). MSC: 90C26 90C20 65K05 PDFBibTeX XMLCite \textit{Y. Ji} et al., Appl. Math. Comput. 218, No. 19, 9965--9973 (2012; Zbl 1245.90089) Full Text: DOI
Niu, Datian; Yuan, Xuegang A harmonic Lanczos bidiagonalization method for computing interior singular triplets of large matrices. (English) Zbl 1246.65065 Appl. Math. Comput. 218, No. 14, 7459-7467 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{D. Niu} and \textit{X. Yuan}, Appl. Math. Comput. 218, No. 14, 7459--7467 (2012; Zbl 1246.65065) Full Text: DOI arXiv
Sherratt, Jonathan A. Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations. (English) Zbl 1244.65155 Appl. Math. Comput. 218, No. 9, 4684-4694 (2012). MSC: 65M99 35G20 65M12 PDFBibTeX XMLCite \textit{J. A. Sherratt}, Appl. Math. Comput. 218, No. 9, 4684--4694 (2012; Zbl 1244.65155) Full Text: DOI
Alonso, Pedro; Cortina, Raquel; Quintana-Ortí, Enrique S.; Ranilla, José Increasing data locality and introducing level-3 BLAS in the neville elimination. (English) Zbl 1242.65052 Appl. Math. Comput. 218, No. 7, 3348-3358 (2011). MSC: 65F05 PDFBibTeX XMLCite \textit{P. Alonso} et al., Appl. Math. Comput. 218, No. 7, 3348--3358 (2011; Zbl 1242.65052) Full Text: DOI
Li, Junxiang; Huo, Jiazhen Inexact smoothing method for large scale minimax optimization. (English) Zbl 1244.65082 Appl. Math. Comput. 218, No. 6, 2750-2760 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K05 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. Huo}, Appl. Math. Comput. 218, No. 6, 2750--2760 (2011; Zbl 1244.65082) Full Text: DOI
Loli Piccolomini, E.; Zama, F. An iterative algorithm for large size least-squares constrained regularization problems. (English) Zbl 1228.65061 Appl. Math. Comput. 217, No. 24, 10343-10354 (2011). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F22 65F20 65K05 65Y20 PDFBibTeX XMLCite \textit{E. Loli Piccolomini} and \textit{F. Zama}, Appl. Math. Comput. 217, No. 24, 10343--10354 (2011; Zbl 1228.65061) Full Text: DOI
Wu, Ai-Guo; Feng, Gang; Duan, Guang-Ren; Liu, Wanquan Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation. (English) Zbl 1215.65086 Appl. Math. Comput. 217, No. 9, 4427-4438 (2011). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{A.-G. Wu} et al., Appl. Math. Comput. 217, No. 9, 4427--4438 (2011; Zbl 1215.65086) Full Text: DOI
Zhang, Jian; Zhang, Kecun; Qu, Shaojian A nonmonotone adaptive trust region method for unconstrained optimization based on conic model. (English) Zbl 1210.65123 Appl. Math. Comput. 217, No. 8, 4265-4273 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Comput. 217, No. 8, 4265--4273 (2010; Zbl 1210.65123) Full Text: DOI
Apostolopoulou, M. S.; Sotiropoulos, D. G.; Botsaris, C. A. A curvilinear method based on minimal-memory BFGS updates. (English) Zbl 1208.65081 Appl. Math. Comput. 217, No. 2, 882-892 (2010). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 PDFBibTeX XMLCite \textit{M. S. Apostolopoulou} et al., Appl. Math. Comput. 217, No. 2, 882--892 (2010; Zbl 1208.65081) Full Text: DOI
Clason, Christian; von Winckel, Gregory On a bilinear optimization problem in parallel magnetic resonance imaging. (English) Zbl 1186.92028 Appl. Math. Comput. 216, No. 5, 1443-1452 (2010). MSC: 92C55 65K10 PDFBibTeX XMLCite \textit{C. Clason} and \textit{G. von Winckel}, Appl. Math. Comput. 216, No. 5, 1443--1452 (2010; Zbl 1186.92028) Full Text: DOI
Wang, Yunjuan; Zhu, Detong An affine scaling optimal path method with interior backtracking curvilinear technique for linear constrained optimization. (English) Zbl 1160.65030 Appl. Math. Comput. 207, No. 1, 178-196 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{D. Zhu}, Appl. Math. Comput. 207, No. 1, 178--196 (2009; Zbl 1160.65030) Full Text: DOI
Wang, Fusheng; Zhang, Kecun; Wang, Chuanlong; Wang, Li A variant of trust-region methods for unconstrained optimization. (English) Zbl 1159.65065 Appl. Math. Comput. 203, No. 1, 297-307 (2008). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 203, No. 1, 297--307 (2008; Zbl 1159.65065) Full Text: DOI
Lu, Xiaoping; Ni, Qin A quasi-Newton trust region method with a new conic model for the unconstrained optimization. (English) Zbl 1167.65035 Appl. Math. Comput. 204, No. 1, 373-384 (2008). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C30 90C53 90C51 PDFBibTeX XMLCite \textit{X. Lu} and \textit{Q. Ni}, Appl. Math. Comput. 204, No. 1, 373--384 (2008; Zbl 1167.65035) Full Text: DOI
Najafi, H. Saberi; Refahi, A.; Akbari, M. Weighted FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A, B). (English) Zbl 1193.65038 Appl. Math. Comput. 192, No. 1, 239-246 (2007). MSC: 65F15 PDFBibTeX XMLCite \textit{H. S. Najafi} et al., Appl. Math. Comput. 192, No. 1, 239--246 (2007; Zbl 1193.65038) Full Text: DOI
Taheri, S. H.; Ghazvini, H.; Saberi-Nadjafi, J.; Biazar, J. A hybrid of the restarted Arnoldi and electromagnetism meta-heuristic methods for calculating eigenvalues and eigenvectors of a non-symmetric matrix. (English) Zbl 1193.65040 Appl. Math. Comput. 191, No. 1, 79-88 (2007). MSC: 65F15 PDFBibTeX XMLCite \textit{S. H. Taheri} et al., Appl. Math. Comput. 191, No. 1, 79--88 (2007; Zbl 1193.65040) Full Text: DOI
Vigo-Aguiar, J.; Martín-Vaquero, J. Exponential fitting BDF algorithms and their properties. (English) Zbl 1126.65060 Appl. Math. Comput. 190, No. 1, 80-110 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L06 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. Martín-Vaquero}, Appl. Math. Comput. 190, No. 1, 80--110 (2007; Zbl 1126.65060) Full Text: DOI
Qu, Shao-Jian; Zhang, Ke-Cun; Zhao, Jia-Kun An efficient algorithm for globally minimizing sum of quadratic ratios problem with nonconvex quadratic constraints. (English) Zbl 1126.65056 Appl. Math. Comput. 189, No. 2, 1624-1636 (2007). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C57 PDFBibTeX XMLCite \textit{S.-J. Qu} et al., Appl. Math. Comput. 189, No. 2, 1624--1636 (2007; Zbl 1126.65056) Full Text: DOI
Saberi Najafi, H.; Refahi, A. FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A,B). (English) Zbl 1120.65047 Appl. Math. Comput. 188, No. 1, 641-647 (2007). Reviewer: R. Militaru (Craiova) MSC: 65F15 PDFBibTeX XMLCite \textit{H. Saberi Najafi} and \textit{A. Refahi}, Appl. Math. Comput. 188, No. 1, 641--647 (2007; Zbl 1120.65047) Full Text: DOI
Gu, Tong-Xiang; Zuo, Xian-Yu; Zhang, Li-Tao; Zhang, Wan-Qin; Sheng, Zhi-Qiang An improved bi-conjugate residual algorithm suitable for distributed parallel computing. (English) Zbl 1117.65047 Appl. Math. Comput. 186, No. 2, 1243-1253 (2007). MSC: 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{T.-X. Gu} et al., Appl. Math. Comput. 186, No. 2, 1243--1253 (2007; Zbl 1117.65047) Full Text: DOI
Najafi, H. Saberi; Refahi, A. A new restarting method in the Lanczos algorithm for generalized eigenvalue problem. (English) Zbl 1116.65045 Appl. Math. Comput. 184, No. 2, 421-428 (2007). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{H. S. Najafi} and \textit{A. Refahi}, Appl. Math. Comput. 184, No. 2, 421--428 (2007; Zbl 1116.65045) Full Text: DOI
Zhu, Detong An affine scaling reduced preconditional conjugate gradient path method for linear constrained optimization. (English) Zbl 1122.65056 Appl. Math. Comput. 184, No. 2, 181-198 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 184, No. 2, 181--198 (2007; Zbl 1122.65056) Full Text: DOI
Ji, Ying; Qu, Shao-Jian; Wang, Yan-Jun; Li, Hui-Min A conic trust-region method for optimization with nonlinear equality and inequality constrains via active-set strategy. (English) Zbl 1112.65052 Appl. Math. Comput. 183, No. 1, 217-231 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y. Ji} et al., Appl. Math. Comput. 183, No. 1, 217--231 (2006; Zbl 1112.65052) Full Text: DOI
Sangwine, Stephen J.; Le Bihan, Nicolas Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations. (English) Zbl 1109.65037 Appl. Math. Comput. 182, No. 1, 727-738 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15B33 15A18 PDFBibTeX XMLCite \textit{S. J. Sangwine} and \textit{N. Le Bihan}, Appl. Math. Comput. 182, No. 1, 727--738 (2006; Zbl 1109.65037) Full Text: DOI arXiv
Najafi, H. Saberi; Ghazvini, H. A modification on minimum restarting method in the Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix. (English) Zbl 1106.65031 Appl. Math. Comput. 181, No. 2, 1455-1461 (2006). MSC: 65F15 PDFBibTeX XMLCite \textit{H. S. Najafi} and \textit{H. Ghazvini}, Appl. Math. Comput. 181, No. 2, 1455--1461 (2006; Zbl 1106.65031) Full Text: DOI
Scitovski, Rudolf; Kralik, Gordana; Sabo, Kristian; Jelen, Tatjana A mathematical model of controlling the growth of tissue in pigs. (English) Zbl 1113.62138 Appl. Math. Comput. 181, No. 2, 1126-1138 (2006). MSC: 62P10 PDFBibTeX XMLCite \textit{R. Scitovski} et al., Appl. Math. Comput. 181, No. 2, 1126--1138 (2006; Zbl 1113.62138) Full Text: DOI
Wang, Fusheng; Zhang, Kecun; Tan, Xiaolong A fractional programming algorithm based on conic quasi-Newton trust region method for unconstrained minimization. (English) Zbl 1106.65054 Appl. Math. Comput. 181, No. 2, 1061-1067 (2006). MSC: 65K05 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 181, No. 2, 1061--1067 (2006; Zbl 1106.65054) Full Text: DOI
Jbilou, K. Low rank approximate solutions to large Sylvester matrix equations. (English) Zbl 1095.65041 Appl. Math. Comput. 177, No. 1, 365-376 (2006). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65F30 15A24 65F50 PDFBibTeX XMLCite \textit{K. Jbilou}, Appl. Math. Comput. 177, No. 1, 365--376 (2006; Zbl 1095.65041) Full Text: DOI
Bergamaschi, Luca; Martínez, Ángeles; Pini, Giorgio Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems. (English) Zbl 1093.65036 Appl. Math. Comput. 175, No. 2, 1694-1715 (2006). MSC: 65F15 65F50 65F35 PDFBibTeX XMLCite \textit{L. Bergamaschi} et al., Appl. Math. Comput. 175, No. 2, 1694--1715 (2006; Zbl 1093.65036) Full Text: DOI
Saberi Najafi, H.; Ghazvini, H. Weighted restarting method in the weighted Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix. (English) Zbl 1094.65029 Appl. Math. Comput. 175, No. 2, 1276-1287 (2006). MSC: 65F15 PDFBibTeX XMLCite \textit{H. Saberi Najafi} and \textit{H. Ghazvini}, Appl. Math. Comput. 175, No. 2, 1276--1287 (2006; Zbl 1094.65029) Full Text: DOI
Zhu, Detong An affine scaling interior trust-region method for \(LC^{1}\) minimization subject to bounds on variables. (English) Zbl 1091.65059 Appl. Math. Comput. 172, No. 2, 1272-1302 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C51 90C30 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 172, No. 2, 1272--1302 (2006; Zbl 1091.65059) Full Text: DOI
Zhang, Yunong; Leithead, W. E. Exploiting Hessian matrix and trust-region algorithm in hyperparameters estimation of Gaussian process. (English) Zbl 1097.65019 Appl. Math. Comput. 171, No. 2, 1264-1281 (2005). Reviewer: R. E. Maiboroda (Kyïv) MSC: 65C60 62G08 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. E. Leithead}, Appl. Math. Comput. 171, No. 2, 1264--1281 (2005; Zbl 1097.65019) Full Text: DOI
Kaya, Doǧan Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor. (English) Zbl 1082.65522 Appl. Math. Comput. 169, No. 2, 1045-1062 (2005). MSC: 65F30 65Y05 15A21 65F15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 169, No. 2, 1045--1062 (2005; Zbl 1082.65522) Full Text: DOI
Lin, Yi-Qin Implicitly restarted global FOM and GMRES for nonsymmetric matrix equations and Sylvester equations. (English) Zbl 1081.65038 Appl. Math. Comput. 167, No. 2, 1004-1025 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{Y.-Q. Lin}, Appl. Math. Comput. 167, No. 2, 1004--1025 (2005; Zbl 1081.65038) Full Text: DOI
Zhu, Detong An affine scaling projective reduced Hessian algorithm for minimum optimization with nonlinear equality and linear inequality constraints. (English) Zbl 1078.65057 Appl. Math. Comput. 166, No. 1, 131-163 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C26 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 166, No. 1, 131--163 (2005; Zbl 1078.65057) Full Text: DOI
Dartora, C. A.; Nobrega, K. Z.; Hernandez-Figueroa, H. E. New analytical approximations for the Mathieu functions. (English) Zbl 1177.33039 Appl. Math. Comput. 165, No. 2, 447-458 (2005). MSC: 33E10 33F05 65D20 PDFBibTeX XMLCite \textit{C. A. Dartora} et al., Appl. Math. Comput. 165, No. 2, 447--458 (2005; Zbl 1177.33039) Full Text: DOI
Kaya, D.; Wright, K. Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor. (English) Zbl 1070.65029 Appl. Math. Comput. 165, No. 1, 195-212 (2005). MSC: 65F30 65F15 65Y05 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{K. Wright}, Appl. Math. Comput. 165, No. 1, 195--212 (2005; Zbl 1070.65029) Full Text: DOI
Kaya, Doǧan The symmetric tridiagonal eigenproblem on a shared memory multiprocessor. II. (English) Zbl 1068.65047 Appl. Math. Comput. 163, No. 1, 213-244 (2005). MSC: 65F15 65F50 65Y05 65Y15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 163, No. 1, 213--244 (2005; Zbl 1068.65047) Full Text: DOI
Kaya, Dogan; Wright, Ken Parallel algorithms for \(LU\) decomposition on a shared memory multiprocessor. (English) Zbl 1060.65579 Appl. Math. Comput. 163, No. 1, 179-191 (2005). MSC: 65F05 65Y05 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{K. Wright}, Appl. Math. Comput. 163, No. 1, 179--191 (2005; Zbl 1060.65579) Full Text: DOI
Ma, Changfeng; Kang, Tong A Jacobian smoothing method for box constrained variational inequality problems. (English) Zbl 1068.65089 Appl. Math. Comput. 162, No. 3, 1397-1429 (2005). Reviewer: J. Lovíšek (Bratislava) MSC: 65K10 49J40 90C33 PDFBibTeX XMLCite \textit{C. Ma} and \textit{T. Kang}, Appl. Math. Comput. 162, No. 3, 1397--1429 (2005; Zbl 1068.65089) Full Text: DOI
Kaya, Doǧan The symmetric tridigonal eigenproblem on a shared memory multiprocessor. I. (English) Zbl 1057.65017 Appl. Math. Comput. 156, No. 1, 189-209 (2004). MSC: 65F15 65Y05 68N19 65Y15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 156, No. 1, 189--209 (2004; Zbl 1057.65017) Full Text: DOI
Sun, Wenyu Nonmonotone trust region method for solving optimization problems. (English) Zbl 1059.65055 Appl. Math. Comput. 156, No. 1, 159-174 (2004). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{W. Sun}, Appl. Math. Comput. 156, No. 1, 159--174 (2004; Zbl 1059.65055) Full Text: DOI
Najafi, H. Saberi; Khaleghi, E. A new restarting method in the Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix. (English) Zbl 1055.65050 Appl. Math. Comput. 156, No. 1, 59-71 (2004). MSC: 65F15 PDFBibTeX XMLCite \textit{H. S. Najafi} and \textit{E. Khaleghi}, Appl. Math. Comput. 156, No. 1, 59--71 (2004; Zbl 1055.65050) Full Text: DOI
Wu, Gang An iterative block Arnoldi algorithm with modified approximate eigenvectors for large unsymmetric eigenvalue problems. (English) Zbl 1054.65035 Appl. Math. Comput. 153, No. 3, 611-643 (2004). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{G. Wu}, Appl. Math. Comput. 153, No. 3, 611--643 (2004; Zbl 1054.65035) Full Text: DOI
Abdel-Aziz, Mohammedi R.; El-Alem, Mahmoud M. Solving large-scale constrained least-squares problems. (English) Zbl 1033.65019 Appl. Math. Comput. 137, No. 2-3, 571-587 (2003). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 65F10 65F15 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz} and \textit{M. M. El-Alem}, Appl. Math. Comput. 137, No. 2--3, 571--587 (2003; Zbl 1033.65019) Full Text: DOI
Abdel-Aziz, Mohammedi R. Convexity analysis of the largest dependent eigenvalue functions of eigensystems. (English) Zbl 1023.65028 Appl. Math. Comput. 109, No. 1, 93-100 (2000). MSC: 65F15 74S05 74H45 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz}, Appl. Math. Comput. 109, No. 1, 93--100 (2000; Zbl 1023.65028) Full Text: DOI
Sun, W.; Sampaio, R. J. B.; Yuan, J. Quasi-Newton trust region algorithm for non-smooth least squares problems. (English) Zbl 1026.90066 Appl. Math. Comput. 105, No. 2-3, 183-194 (1999). MSC: 90C20 90C53 PDFBibTeX XMLCite \textit{W. Sun} et al., Appl. Math. Comput. 105, No. 2--3, 183--194 (1999; Zbl 1026.90066) Full Text: DOI
Abdel-Aziz, Mohammedi R.; El-Sayed, Salah M. Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems. (English) Zbl 0934.65048 Appl. Math. Comput. 100, No. 2-3, 103-110 (1999). Reviewer: J.B.Butler jun.(Portland) MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz} and \textit{S. M. El-Sayed}, Appl. Math. Comput. 100, No. 2--3, 103--110 (1999; Zbl 0934.65048) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C. Linear algebra on high performance computers. (English) Zbl 0628.65016 Appl. Math. Comput. 20, 57-88 (1986). Reviewer: R.P.Tewarson MSC: 65Fxx 65-02 65F05 65F15 65F50 65Y05 PDFBibTeX XMLCite \textit{J. J. Dongarra} and \textit{D. C. Sorensen}, Appl. Math. Comput. 20, 57--88 (1986; Zbl 0628.65016) Full Text: DOI Link