Erway, Jennifer B.; Rezapour, Mostafa A new multipoint symmetric secant method with a dense initial matrix. (English) Zbl 07724377 Optim. Methods Softw. 38, No. 4, 698-722 (2023). MSC: 90C26 90C53 PDFBibTeX XMLCite \textit{J. B. Erway} and \textit{M. Rezapour}, Optim. Methods Softw. 38, No. 4, 698--722 (2023; Zbl 07724377) Full Text: DOI arXiv
Akrotirianakis, I. G.; Gratton, M.; Griffin, J. D.; Yektamaram, S.; Zhou, W. Simultaneous iterative solutions for the trust-region and minimum eigenvalue subproblem. (English) Zbl 1501.90070 Optim. Methods Softw. 37, No. 2, 692-711 (2022). MSC: 90C26 90C56 65K05 49M37 PDFBibTeX XMLCite \textit{I. G. Akrotirianakis} et al., Optim. Methods Softw. 37, No. 2, 692--711 (2022; Zbl 1501.90070) Full Text: DOI
Erway, Jennifer B.; Griffin, Joshua; Marcia, Roummel F.; Omheni, Riadh Trust-region algorithms for training responses: machine learning methods using indefinite Hessian approximations. (English) Zbl 1440.90092 Optim. Methods Softw. 35, No. 3, 460-487 (2020). MSC: 90C53 15A06 90C06 65K05 65K10 49M15 PDFBibTeX XMLCite \textit{J. B. Erway} et al., Optim. Methods Softw. 35, No. 3, 460--487 (2020; Zbl 1440.90092) Full Text: DOI arXiv
Gould, Nicholas I. M.; Simoncini, Valeria Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. (English) Zbl 1428.90160 Optim. Methods Softw. 35, No. 2, 304-328 (2020). MSC: 90C30 65K05 90C20 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{V. Simoncini}, Optim. Methods Softw. 35, No. 2, 304--328 (2020; Zbl 1428.90160) Full Text: DOI Link
Zhou, W.; Akrotirianakis, I. G.; Yektamaram, S.; Griffin, J. D. A matrix-free line-search algorithm for nonconvex optimization. (English) Zbl 1416.90023 Optim. Methods Softw. 34, No. 1, 1-24 (2019). MSC: 90C06 90C26 90C30 65K05 68T01 PDFBibTeX XMLCite \textit{W. Zhou} et al., Optim. Methods Softw. 34, No. 1, 1--24 (2019; Zbl 1416.90023) Full Text: DOI
Kimura, Keiji; Waki, Hayato Minimization of Akaike’s information criterion in linear regression analysis via mixed integer nonlinear program. (English) Zbl 1398.90111 Optim. Methods Softw. 33, No. 3, 633-649 (2018). MSC: 90C11 90C57 62J05 PDFBibTeX XMLCite \textit{K. Kimura} and \textit{H. Waki}, Optim. Methods Softw. 33, No. 3, 633--649 (2018; Zbl 1398.90111) Full Text: DOI arXiv
Gally, Tristan; Pfetsch, Marc E.; Ulbrich, Stefan A framework for solving mixed-integer semidefinite programs. (English) Zbl 1398.90109 Optim. Methods Softw. 33, No. 3, 594-632 (2018). MSC: 90C11 90C22 90C57 PDFBibTeX XMLCite \textit{T. Gally} et al., Optim. Methods Softw. 33, No. 3, 594--632 (2018; Zbl 1398.90109) Full Text: DOI
Lenders, Felix; Kirches, C.; Potschka, A. trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem. (English) Zbl 1390.35364 Optim. Methods Softw. 33, No. 3, 420-449 (2018). MSC: 35Q90 65K05 90C20 90C30 PDFBibTeX XMLCite \textit{F. Lenders} et al., Optim. Methods Softw. 33, No. 3, 420--449 (2018; Zbl 1390.35364) Full Text: DOI arXiv
Dussault, Jean-Pierre ARC\(_q\): a new adaptive regularization by cubics. (English) Zbl 1397.90356 Optim. Methods Softw. 33, No. 2, 322-335 (2018). MSC: 90C30 PDFBibTeX XMLCite \textit{J.-P. Dussault}, Optim. Methods Softw. 33, No. 2, 322--335 (2018; Zbl 1397.90356) Full Text: DOI
Jarre, Florian; Lieder, Felix The solution of Euclidean norm trust region SQP subproblems via second-order cone programs: an overview and elementary introduction. (English) Zbl 1398.90206 Optim. Methods Softw. 33, No. 1, 70-91 (2018). MSC: 90C55 90C51 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{F. Lieder}, Optim. Methods Softw. 33, No. 1, 70--91 (2018; Zbl 1398.90206) Full Text: DOI
Gonçalves, D. S.; Gomes-Ruggiero, M. A.; Lavor, C. A projected gradient method for optimization over density matrices. (English) Zbl 1342.65143 Optim. Methods Softw. 31, No. 2, 328-341 (2016). MSC: 65K05 90C22 90C90 81P50 PDFBibTeX XMLCite \textit{D. S. Gonçalves} et al., Optim. Methods Softw. 31, No. 2, 328--341 (2016; Zbl 1342.65143) Full Text: DOI
Castro, Jordi Interior-point solver for convex separable block-angular problems. (English) Zbl 1338.90455 Optim. Methods Softw. 31, No. 1, 88-109 (2016). MSC: 90C51 90C25 90C06 90C05 90C20 65K05 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{J. Castro}, Optim. Methods Softw. 31, No. 1, 88--109 (2016; Zbl 1338.90455) Full Text: DOI
Pulkkinen, Seppo Finding graph embeddings by incremental low-rank semidefinite programming. (English) Zbl 1332.05100 Optim. Methods Softw. 30, No. 5, 1050-1076 (2015). Reviewer: Vladimír Lacko (Košice) MSC: 05C62 05C90 90C20 90C22 90C51 PDFBibTeX XMLCite \textit{S. Pulkkinen}, Optim. Methods Softw. 30, No. 5, 1050--1076 (2015; Zbl 1332.05100) Full Text: DOI
Yamashita, Makoto; Nakata, Kazuhide Fast implementation for semidefinite programs with positive matrix completion. (English) Zbl 1376.90044 Optim. Methods Softw. 30, No. 5, 1030-1049 (2015). MSC: 90C22 90C51 97N80 PDFBibTeX XMLCite \textit{M. Yamashita} and \textit{K. Nakata}, Optim. Methods Softw. 30, No. 5, 1030--1049 (2015; Zbl 1376.90044) Full Text: DOI arXiv
Wang, Xiao; Zhang, Hongchao An augmented Lagrangian affine scaling method for nonlinear programming. (English) Zbl 1328.90145 Optim. Methods Softw. 30, No. 5, 934-964 (2015). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. Zhang}, Optim. Methods Softw. 30, No. 5, 934--964 (2015; Zbl 1328.90145) Full Text: DOI
Wang, Xiao; Yuan, Yaxiang An augmented Lagrangian trust region method for equality constrained optimization. (English) Zbl 1325.90091 Optim. Methods Softw. 30, No. 3, 559-582 (2015). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Yuan}, Optim. Methods Softw. 30, No. 3, 559--582 (2015; Zbl 1325.90091) Full Text: DOI
Bergamaschi, L.; Martínez, A. Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems. (English) Zbl 1327.65051 Optim. Methods Softw. 30, No. 2, 301-322 (2015). MSC: 65F05 65F15 65H17 PDFBibTeX XMLCite \textit{L. Bergamaschi} and \textit{A. Martínez}, Optim. Methods Softw. 30, No. 2, 301--322 (2015; Zbl 1327.65051) Full Text: DOI arXiv
Kozma, Attila; Conte, Christian; Diehl, Moritz Benchmarking large-scale distributed convex quadratic programming algorithms. (English) Zbl 1321.49046 Optim. Methods Softw. 30, No. 1, 191-214 (2015). MSC: 49M29 49M27 90C06 90C20 65K05 PDFBibTeX XMLCite \textit{A. Kozma} et al., Optim. Methods Softw. 30, No. 1, 191--214 (2015; Zbl 1321.49046) Full Text: DOI
Behboodi-Kahoo, Malihe; Ketabchi, Saeed Parametric approach for correcting inconsistent linear equality system. (English) Zbl 1298.90102 Optim. Methods Softw. 29, No. 6, 1317-1322 (2014). MSC: 90C30 90C31 15A39 PDFBibTeX XMLCite \textit{M. Behboodi-Kahoo} and \textit{S. Ketabchi}, Optim. Methods Softw. 29, No. 6, 1317--1322 (2014; Zbl 1298.90102) Full Text: DOI
Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. (English) Zbl 1306.90150 Optim. Methods Softw. 29, No. 5, 1075-1089 (2014). MSC: 90C30 90C53 90C55 49M27 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 29, No. 5, 1075--1089 (2014; Zbl 1306.90150) Full Text: DOI
Ghiglieri, Jane; Ulbrich, Stefan Optimal flow control based on POD and MPC and an application to the cancellation of Tollmien-Schlichting waves. (English) Zbl 1301.49078 Optim. Methods Softw. 29, No. 5, 1042-1074 (2014). MSC: 49M27 49K20 35Q30 65K05 76D55 76D05 PDFBibTeX XMLCite \textit{J. Ghiglieri} and \textit{S. Ulbrich}, Optim. Methods Softw. 29, No. 5, 1042--1074 (2014; Zbl 1301.49078) Full Text: DOI
Erway, Jennifer B.; Jain, Vibhor; Marcia, Roummel F. Shifted L-BFGS systems. (English) Zbl 1300.90066 Optim. Methods Softw. 29, No. 5, 992-1004 (2014). MSC: 90C53 15A06 90C06 65K05 65K10 65F05 49M15 PDFBibTeX XMLCite \textit{J. B. Erway} et al., Optim. Methods Softw. 29, No. 5, 992--1004 (2014; Zbl 1300.90066) Full Text: DOI arXiv
Shen, Y.; Wen, Z.; Zhang, Yin Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization. (English) Zbl 1285.90068 Optim. Methods Softw. 29, No. 2, 239-263 (2014). MSC: 90C30 90C90 PDFBibTeX XMLCite \textit{Y. Shen} et al., Optim. Methods Softw. 29, No. 2, 239--263 (2014; Zbl 1285.90068) Full Text: DOI
Gratton, S.; Vicente, L. N. A surrogate management framework using rigorous trust-region steps. (English) Zbl 1282.65067 Optim. Methods Softw. 29, No. 1, 10-23 (2014). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{S. Gratton} and \textit{L. N. Vicente}, Optim. Methods Softw. 29, No. 1, 10--23 (2014; Zbl 1282.65067) Full Text: DOI
Jiménez, Alberto J. Sparse Hessian factorization in curved trajectories for unconstrained minimization. (English) Zbl 1282.65068 Optim. Methods Softw. 29, No. 1, 1-9 (2014). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. J. Jiménez}, Optim. Methods Softw. 29, No. 1, 1--9 (2014; Zbl 1282.65068) Full Text: DOI
Rojas, Marielba; Fotland, Bjørn H.; Steihaug, Trond Computational and sensitivity aspects of eigenvalue-based methods for the large-scale trust-region subproblem. (English) Zbl 1273.90142 Optim. Methods Softw. 28, No. 3, 564-580 (2013). MSC: 90C20 90C06 90C51 PDFBibTeX XMLCite \textit{M. Rojas} et al., Optim. Methods Softw. 28, No. 3, 564--580 (2013; Zbl 1273.90142) Full Text: DOI Link
Kanamori, Takafumi; Ohara, Atsumi A Bregman extension of quasi-Newton updates I: An information geometrical framework. (English) Zbl 1288.90108 Optim. Methods Softw. 28, No. 1, 96-123 (2013). MSC: 90C33 PDFBibTeX XMLCite \textit{T. Kanamori} and \textit{A. Ohara}, Optim. Methods Softw. 28, No. 1, 96--123 (2013; Zbl 1288.90108) Full Text: DOI arXiv
Bergmann, Ørjan; Steihaug, Trond Solving trust-region subproblem augmented with linear inequality constraints. (English) Zbl 1270.90070 Optim. Methods Softw. 28, No. 1, 26-36 (2013). MSC: 90C30 PDFBibTeX XMLCite \textit{Ø. Bergmann} and \textit{T. Steihaug}, Optim. Methods Softw. 28, No. 1, 26--36 (2013; Zbl 1270.90070) Full Text: DOI
Lubin, Miles; Petra, Cosmin G.; Anitescu, Mihai The parallel solution of dense saddle-point linear systems arising in stochastic programming. (English) Zbl 1254.90140 Optim. Methods Softw. 27, No. 4-5, 845-864 (2012). MSC: 90C15 65F05 68W10 PDFBibTeX XMLCite \textit{M. Lubin} et al., Optim. Methods Softw. 27, No. 4--5, 845--864 (2012; Zbl 1254.90140) Full Text: DOI
De Los Reyes, Juan Carlos; Stykel, Tatjana A balanced truncation-based strategy for optimal control of evolution problems. (English) Zbl 1227.49037 Optim. Methods Softw. 26, No. 4-5, 671-692 (2011). MSC: 49M27 65K05 93B11 PDFBibTeX XMLCite \textit{J. C. De Los Reyes} and \textit{T. Stykel}, Optim. Methods Softw. 26, No. 4--5, 671--692 (2011; Zbl 1227.49037) Full Text: DOI
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. (English) Zbl 1227.49046 Optim. Methods Softw. 26, No. 4-5, 643-669 (2011). MSC: 49Q10 65M55 76D07 PDFBibTeX XMLCite \textit{H. Antil} et al., Optim. Methods Softw. 26, No. 4--5, 643--669 (2011; Zbl 1227.49046) Full Text: DOI Link
Öztoprak, Figen; Birbil, Ş. İlker A symmetric rank-one quasi-Newton line-search method using negative curvature directions. (English) Zbl 1225.90130 Optim. Methods Softw. 26, No. 3, 455-486 (2011). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{F. Öztoprak} and \textit{Ş. İ. Birbil}, Optim. Methods Softw. 26, No. 3, 455--486 (2011; Zbl 1225.90130) Full Text: DOI
Al-Jeiroudi, Ghussoun; Gondzio, Jacek; Hall, Julian Preconditioning indefinite systems in interior point methods for large scale linear optimisation. (English) Zbl 1162.90510 Optim. Methods Softw. 23, No. 3, 345-363 (2008). MSC: 90C05 90C51 65F50 PDFBibTeX XMLCite \textit{G. Al-Jeiroudi} et al., Optim. Methods Softw. 23, No. 3, 345--363 (2008; Zbl 1162.90510) Full Text: DOI Link
Lukšan, L.; Matonoha, C.; Vlček, J. Trust-region interior-point method for large sparse \(l_{1}\) optimization. (English) Zbl 1193.90197 Optim. Methods Softw. 22, No. 5, 737-753 (2007). MSC: 90C30 90C51 90C06 49M37 65K05 PDFBibTeX XMLCite \textit{L. Lukšan} et al., Optim. Methods Softw. 22, No. 5, 737--753 (2007; Zbl 1193.90197) Full Text: DOI
Kanzow, Christian; Petra, Stefania Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. (English) Zbl 1188.90258 Optim. Methods Softw. 22, No. 5, 713-735 (2007). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{S. Petra}, Optim. Methods Softw. 22, No. 5, 713--735 (2007; Zbl 1188.90258) Full Text: DOI
Luo, Xin-Long; Liao, Li-Zhi; Tam, Hon Wah Convergence analysis of the Levenberg-Marquardt method. (English) Zbl 1186.90110 Optim. Methods Softw. 22, No. 4, 659-678 (2007). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{X.-L. Luo} et al., Optim. Methods Softw. 22, No. 4, 659--678 (2007; Zbl 1186.90110) Full Text: DOI
Kearsley, Anthony J. Matrix-free algorithm for the large-scale constrained trust-region subproblem. (English) Zbl 1095.90086 Optim. Methods Softw. 21, No. 2, 233-245 (2006). MSC: 90C20 65K10 PDFBibTeX XMLCite \textit{A. J. Kearsley}, Optim. Methods Softw. 21, No. 2, 233--245 (2006; Zbl 1095.90086) Full Text: DOI
Burer, Samuel; Choi, Changhui Computational enhancements in low-rank semidefinite programming. (English) Zbl 1136.90429 Optim. Methods Softw. 21, No. 3, 493-512 (2006). MSC: 90C22 PDFBibTeX XMLCite \textit{S. Burer} and \textit{C. Choi}, Optim. Methods Softw. 21, No. 3, 493--512 (2006; Zbl 1136.90429) Full Text: DOI
Han, Qiaoming; Sun, Wenyu; Han, Jiye; Sampaio, Raimudo J. B. An adaptive conic trust-region method for unconstrained optimization. (English) Zbl 1127.90415 Optim. Methods Softw. 20, No. 6, 665-677 (2005). MSC: 90C53 90C30 90C55 PDFBibTeX XMLCite \textit{Q. Han} et al., Optim. Methods Softw. 20, No. 6, 665--677 (2005; Zbl 1127.90415) Full Text: DOI
Zama, Fabiana; Piccolomini, Elena Loli A descent method for regularization of ill-posed problems. (English) Zbl 1086.65054 Optim. Methods Softw. 20, No. 4-5, 615-625 (2005). Reviewer: Erwin Schechter (Moers) MSC: 65J10 47A52 65J20 PDFBibTeX XMLCite \textit{F. Zama} and \textit{E. L. Piccolomini}, Optim. Methods Softw. 20, No. 4--5, 615--625 (2005; Zbl 1086.65054) Full Text: DOI
Sofroniou, Mark; Spaletta, Giulia Derivation of symmetric composition constants for symmetric integrators. (English) Zbl 1082.65070 Optim. Methods Softw. 20, No. 4-5, 597-613 (2005). MSC: 65L05 34A34 65P10 37M15 68W30 PDFBibTeX XMLCite \textit{M. Sofroniou} and \textit{G. Spaletta}, Optim. Methods Softw. 20, No. 4--5, 597--613 (2005; Zbl 1082.65070) Full Text: DOI
Fortin, Charles; Wolkowicz, Henry The trust region subproblem and semidefinite programming. (English) Zbl 1070.65041 Optim. Methods Softw. 19, No. 1, 41-67 (2004). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C22 90C20 90C30 90C06 90C55 PDFBibTeX XMLCite \textit{C. Fortin} and \textit{H. Wolkowicz}, Optim. Methods Softw. 19, No. 1, 41--67 (2004; Zbl 1070.65041) Full Text: DOI
Powell, M. J. D. On the use of quadratic models in unconstrained minimization without derivatives. (English) Zbl 1140.90513 Optim. Methods Softw. 19, No. 3-4, 399-411 (2004). MSC: 90C55 90C56 PDFBibTeX XMLCite \textit{M. J. D. Powell}, Optim. Methods Softw. 19, No. 3--4, 399--411 (2004; Zbl 1140.90513) Full Text: DOI Link
Kanzow, Christian; Petra, Stefania On a semismooth least squares formulation of complementarity problems with gap reduction. (English) Zbl 1097.90062 Optim. Methods Softw. 19, No. 5, 507-525 (2004). MSC: 90C33 49J52 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{S. Petra}, Optim. Methods Softw. 19, No. 5, 507--525 (2004; Zbl 1097.90062) Full Text: DOI
Zhu, Zongwu A modified trust region algorithm. (English) Zbl 1060.90072 Optim. Methods Softw. 17, No. 4, 587-604 (2002). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{Z. Zhu}, Optim. Methods Softw. 17, No. 4, 587--604 (2002; Zbl 1060.90072) Full Text: DOI
Conforti, D.; Mancini, M. A curvilinear search algorithm for unconstrained optimization by automatic differentiation. (English) Zbl 1103.90399 Optim. Methods Softw. 15, No. 3-4, 283-297 (2001). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{D. Conforti} and \textit{M. Mancini}, Optim. Methods Softw. 15, No. 3--4, 283--297 (2001; Zbl 1103.90399) Full Text: DOI
Friedlander, Ana; Gomes-Ruggiero, Márcia A.; Kozakevich, Daniel N.; Martínez, José Mario; Santos, Sandra Augusta Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy. (English) Zbl 0893.65032 Optim. Methods Softw. 8, No. 1, 25-51 (1997). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{A. Friedlander} et al., Optim. Methods Softw. 8, No. 1, 25--51 (1997; Zbl 0893.65032) Full Text: DOI