Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard Piecewise linear secant approximation via algorithmic piecewise differentiation. (English) Zbl 1408.90322 Optim. Methods Softw. 33, No. 4-6, 1108-1126 (2018). MSC: 90C53 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 33, No. 4--6, 1108--1126 (2018; Zbl 1408.90322) Full Text: DOI arXiv
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
Hamdi, Adel; Griewank, Andreas Reduced quasi-Newton method for simultaneous design and optimization. (English) Zbl 1251.90364 Comput. Optim. Appl. 49, No. 3, 521-548 (2011). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{A. Hamdi} and \textit{A. Griewank}, Comput. Optim. Appl. 49, No. 3, 521--548 (2011; Zbl 1251.90364) Full Text: DOI
Schlenkrich, Sebastian; Griewank, Andreas; Walther, Andrea On the local convergence of adjoint Broyden methods. (English) Zbl 1185.90207 Math. Program. 121, No. 2 (A), 221-247 (2010). MSC: 90C53 65H10 65K05 PDFBibTeX XMLCite \textit{S. Schlenkrich} et al., Math. Program. 121, No. 2 (A), 221--247 (2010; Zbl 1185.90207) Full Text: DOI
Griewank, Andreas; Schlenkrich, Sebastian; Walther, Andrea Optimal \(r\)-order of an adjoint Broyden method without the assumption of linearly independent steps. (English) Zbl 1211.90291 Optim. Methods Softw. 23, No. 2, 215-225 (2008). MSC: 90C53 65H10 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 23, No. 2, 215--225 (2008; Zbl 1211.90291) Full Text: DOI
Stange, Peter; Griewank, Andreas; Bollhöfer, Matthias On the efficient update of rectangular LU-factorizations subject to low rank modifications. (English) Zbl 1171.15309 ETNA, Electron. Trans. Numer. Anal. 26, 161-177 (2007). MSC: 15A23 65F05 65F30 65K05 90C53 PDFBibTeX XMLCite \textit{P. Stange} et al., ETNA, Electron. Trans. Numer. Anal. 26, 161--177 (2007; Zbl 1171.15309) Full Text: EuDML EMIS Backlinks: MO
Griewank, Andreas; Walther, Andrea; Korzec, Maciek Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. (English) Zbl 1196.90130 Optim. Methods Softw. 22, No. 2, 279-295 (2007). MSC: 90C53 90C30 65K10 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 22, No. 2, 279--295 (2007; Zbl 1196.90130) Full Text: DOI
Schlenkrich, Sebastian; Walther, Andrea; Griewank, Andreas Application of AD-based quasi-Newton methods to stiff ODEs. (English) Zbl 1270.65035 Bücker, Martin (ed.) et al., Automatic differentiation: Applications, theory, and implementations. Selected papers based on the presentation at the 4th international conference on automatic differentiation (AD), Chicago, IL, USA, July 20–23, 2004. Berlin: Springer (ISBN 3-540-28403-6/pbk). Lecture Notes in Computational Science and Engineering 50, 89-98 (2006). MSC: 65L05 65D99 65H10 65L06 PDFBibTeX XMLCite \textit{S. Schlenkrich} et al., Lect. Notes Comput. Sci. Eng. 50, 89--98 (2006; Zbl 1270.65035)
Griewank, Andreas; Korzec, Maciek Approximating Jacobians by the TR2 formula. (English) Zbl 1391.90640 PAMM, Proc. Appl. Math. Mech. 5, 791-792 (2005). MSC: 90C53 90C30 65K05 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{M. Korzec}, PAMM, Proc. Appl. Math. Mech. 5, 791--792 (2005; Zbl 1391.90640) Full Text: DOI
Griewank, Andreas; Walther, Andrea How up-to-date are low-rank updates? (English) Zbl 1070.65042 Rev. Invest. Oper. 25, No. 2, 137-147 (2004). Reviewer: Carlos Narciso Bouza Herrera (Habana) MSC: 65K05 90C30 90C53 65Y05 65L05 65L12 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{A. Walther}, Rev. Invest. Oper. 25, No. 2, 137--147 (2004; Zbl 1070.65042)
Griewank, Andreas; Walther, Andrea On constrained optimization by adjoint based quasi-Newton methods. (English) Zbl 1065.90077 Optim. Methods Softw. 17, No. 5, 869-889 (2002). MSC: 90C53 65K10 90C30 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{A. Walther}, Optim. Methods Softw. 17, No. 5, 869--889 (2002; Zbl 1065.90077) Full Text: DOI
Griewank, Andreas; Sheng, Laihua On the Gauss-Broyden method for nonlinear least squares. (English) Zbl 0676.65064 Mathematics for large scale computing, Lect. Notes Pure Appl. Math. 120, 1-33 (1989). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDFBibTeX XML
Griewank, Andreas On the iterative solution of differential and integral equations using secant updating techniques. (English) Zbl 0615.65059 The state of the art in numerical analysis, Proc. Joint IMA/SIAM Conf., Birmingham/Engl. 1986, Inst. Math. Appl. Conf. Ser., New Ser. 9, 299-324 (1987). MSC: 65J15 65L10 65R20 47J25 34B15 45G05 PDFBibTeX XML
Griewank, Andreas The ”global” convergence of Broyden-like methods with a suitable line search. (English) Zbl 0596.65034 J. Aust. Math. Soc., Ser. B 28, 75-92 (1986). MSC: 65H10 65K05 PDFBibTeX XMLCite \textit{A. Griewank}, J. Aust. Math. Soc., Ser. B 28, 75--92 (1986; Zbl 0596.65034) Full Text: DOI
Griewank, A.; Toint, Ph. L. Numerical experiments with partially separable optimization problems. (English) Zbl 0531.65033 Numerical analysis, Proc. 10th bienn. Conf., Dundee/Scotl. 1983, Lect. Notes Math. 1066, 203-220 (1984). MSC: 65K05 90C30 PDFBibTeX XML
Griewank, A.; Toint, Ph. L. Local convergence analysis for partitioned quasi-Newton updates. (English) Zbl 0505.65018 Numer. Math. 39, 429-448 (1982). MSC: 65K05 65H10 90C30 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{Ph. L. Toint}, Numer. Math. 39, 429--448 (1982; Zbl 0505.65018) Full Text: DOI EuDML
Griewank, Andreas A short proof of the Dennis-Schnabel theorem. (English) Zbl 0484.65028 BIT 22, 252-256 (1982). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Griewank}, BIT 22, 252--256 (1982; Zbl 0484.65028) Full Text: DOI