A semismooth conjugate gradients method

Andreas Griewank Max Planck Research Award https://zbmath.org/authors/?q=ai:griewank.andreas https://mathscinet.ams.org/mathscinet/MRAuthorID/76895 https://mathgenealogy.org/id.php?id=28342 https://orcid.org/0000-0001-9839-1473 https://www.wikidata.org/entity/Q15783303 https://www.researcherid.com/rid/H-6492-2016 https://id.loc.gov/authorities/names/n91117026 https://d-nb.info/gnd/112508162

Franz Bethke Andreas Griewank Andrea Walther A semismooth conjugate gradients method - theoretical analysis. 911-935 2024 39 Optim. Methods Softw. 4 https://doi.org/10.1080/10556788.2024.2331068 db/journals/oms/oms39.html#BethkeGW24 streams/journals/oms

Andreas Griewank Tom Streubel Caren Tischendorf On the abs-polynomial expansion of piecewise smooth functions. 301-315 2021 36 Optim. Methods Softw. 2-3 https://doi.org/10.1080/10556788.2020.1817448 db/journals/oms/oms36.html#GriewankST21

Andreas Griewank Andrea Walther Polyhedral DC Decomposition and DCA Optimization of Piecewise Linear Functions. 166 2020 13 Algorithms 7 https://doi.org/10.3390/a13070166 db/journals/algorithms/algorithms13.html#GriewankW20

Sabrina Fiege Andrea Walther Andreas Griewank An algorithm for nonsmooth optimization by successive piecewise linearization. 343-370 2019 177 Math. Program. 1-2 https://doi.org/10.1007/s10107-018-1273-5 https://www.wikidata.org/entity/Q130042421 db/journals/mp/mp177.html#FiegeWG19

Andreas Griewank Andrea Walther Finite convergence of an active signature method to local minima of piecewise linear functions. 1035-1055 2019 34 Optim. Methods Softw. 5 https://doi.org/10.1080/10556788.2018.1546856 https://www.wikidata.org/entity/Q128827395 db/journals/oms/oms34.html#GriewankW19

Andreas Griewank Andrea Walther Relaxing Kink Qualifications and Proving Convergence Rates in Piecewise Smooth Optimization. 262-289 2019 29 SIAM J. Optim. 1 https://doi.org/10.1137/17M1157623 https://www.wikidata.org/entity/Q128514633 db/journals/siamjo/siamjo29.html#GriewankW19

Andrea Walther Andreas Griewank Characterizing and Testing Subdifferential Regularity in Piecewise Smooth Optimization. 1473-1501 2019 29 SIAM J. Optim. 2 https://doi.org/10.1137/17M115520X db/journals/siamjo/siamjo29.html#WaltherG19

Andreas Griewank Angel Rojas Treating Artificial Neural Net Training as a Nonsmooth Global Optimization Problem. 759-770 2019 LOD https://doi.org/10.1007/978-3-030-37599-7_64 conf/mod/2019 db/conf/mod/lod2019.html#GriewankR19

Andreas Griewank Frances Y. Kuo Hernan Leövey Ian H. Sloan High dimensional integration of kinks and jumps - Smoothing by preintegration. 259-274 2018 344 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2018.04.009 db/journals/jcam/jcam344.html#GriewankKLS18

Bruce Christianson Shaun A. Forth Andreas Griewank Preface. 671 2018 33 Optim. Methods Softw. 4-6 https://doi.org/10.1080/10556788.2018.1486553 db/journals/oms/oms33.html#ChristiansonFG18

Sabrina Fiege Andrea Walther Kshitij Kulshreshtha Andreas Griewank Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. 1073-1088 2018 33 Optim. Methods Softw. 4-6 https://doi.org/10.1080/10556788.2017.1333613 db/journals/oms/oms33.html#FiegeWKG18

Andreas Griewank Richard Hasenfelder Manuel Radons Lutz Lehmann Tom Streubel Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. 1089-1107 2018 33 Optim. Methods Softw. 4-6 https://doi.org/10.1080/10556788.2017.1378653 db/journals/oms/oms33.html#GriewankHRLS18

Andreas Griewank Tom Streubel Lutz Lehmann Manuel Radons Richard Hasenfelder Piecewise linear secant approximation via algorithmic piecewise differentiation. 1108-1126 2018 33 Optim. Methods Softw. 4-6 https://doi.org/10.1080/10556788.2017.1387256 db/journals/oms/oms33.html#GriewankSLRH18

Andreas Griewank Andrea Walther Koichi Kubota Siegfried M. Rump Piecewise smooth system and optimization with piecewise linearization via algorithmic differentiation (NII Shonan Meeting 2018-9). 2018 2018 NII Shonan Meet. Rep. https://shonan.nii.ac.jp/seminars/125/ db/journals/shonan-reports/shonan-reports2018.html#GriewankWKR18

Andreas Griewank Andrea Walther Sabrina Fiege Torsten Bosse On Lipschitz optimization based on gray-box piecewise linearization. 383-415 2016 158 Math. Program. 1-2 https://doi.org/10.1007/s10107-015-0934-x https://www.wikidata.org/entity/Q57389574 db/journals/mp/mp158.html#GriewankWFB16

Andreas Griewank Andrea Walther First- and second-order optimality conditions for piecewise smooth objective functions. 904-930 2016 31 Optim. Methods Softw. 5 https://doi.org/10.1080/10556788.2016.1189549 https://www.wikidata.org/entity/Q57389572 db/journals/oms/oms31.html#GriewankW16

Coralia Cartis Andreas Griewank Philippe L. Toint Ya-Xiang Yuan Obituary for Mike Powell. 669-671 2015 30 Optim. Methods Softw. 3 https://doi.org/10.1080/10556788.2015.1051808 https://www.wikidata.org/entity/Q57389576 db/journals/oms/oms30.html#CartisGTY15

Torsten Bosse Lutz Lehmann Andreas Griewank Adaptive sequencing of primal, dual, and design steps in simulation based optimization. 731-760 2014 57 Comput. Optim. Appl. 3 https://doi.org/10.1007/s10589-013-9606-z https://www.wikidata.org/entity/Q57389582 db/journals/coap/coap57.html#BosseLG14

Karl Jansen Hernan Leovey Andreas Ammon Andreas Griewank M. Müller-Preussker Quasi-Monte Carlo methods for lattice systems: A first look. 948-959 2014 185 Comput. Phys. Commun. 3 https://doi.org/10.1016/j.cpc.2013.10.011 https://www.wikidata.org/entity/Q57389593 db/journals/cphysics/cphysics185.html#JansenLAGM14

Andreas Griewank Lutz Lehmann Hernan Leovey Marat Zilberman Automatic evaluations of cross-derivatives. 2014 83 Math. Comput. 285 https://doi.org/10.1090/S0025-5718-2013-02717-2 https://www.wikidata.org/entity/Q57389583 db/journals/moc/moc83.html#GriewankLLZ14 251-274

Andreas Griewank Jonathan Fischer Torsten Bosse Cubic overestimation and secant updating for unconstrained optimization of C2, 1 functions. 1075-1089 2014 29 Optim. Methods Softw. 5 https://doi.org/10.1080/10556788.2013.863308 https://www.wikidata.org/entity/Q57389584 db/journals/oms/oms29.html#GriewankFB14

Andreas Griewank On stable piecewise linearization and generalized algorithmic differentiation. 1139-1178 2013 28 Optim. Methods Softw. 6 https://doi.org/10.1080/10556788.2013.796683 https://www.wikidata.org/entity/Q57389604 db/journals/oms/oms28.html#Griewank13

Andreas Griewank From the Product Example to PDE Adjoints, Algorithmic Differentiation and Its Application (Invited Talk). 130-135 2013 CASC https://doi.org/10.1007/978-3-319-02297-0_10 https://www.wikidata.org/entity/Q57389602 conf/casc/2013 db/conf/casc/casc2013.html#Griewank13 Tom Streubel Andreas Griewank Manuel Radons Jens-Uwe Bernt Representation and Analysis of Piecewise Linear Functions in Abs-Normal Form. 327-336 2013 System Modelling and Optimization https://doi.org/10.1007/978-3-662-45504-3_32 https://www.wikidata.org/entity/Q57389594 conf/ifip7/2013 db/conf/ifip7/csmo2013.html#StreubelGRB13

Andreas Griewank Kshitij Kulshreshtha Andrea Walther On the numerical stability of algorithmic differentiation. 125-149 2012 94 Computing 2-4 https://doi.org/10.1007/s00607-011-0162-z https://www.wikidata.org/entity/Q57389613 db/journals/computing/computing94.html#GriewankKW12

Amr Radwan Olga Vasilieva Rentsen Enkhbat Andreas Griewank J. Guddat Parametric approach to optimal control. 1303-1316 2012 6 Optim. Lett. 7 https://doi.org/10.1007/s11590-011-0377-0 https://www.wikidata.org/entity/Q57389614 db/journals/ol/ol6.html#RadwanVEGG12

Nicolas R. Gauger Andreas Griewank Adel Hamdi Claudia Kratzenstein Emre Özkaya Thomas Slawig Automated Extension of Fixed Point PDE Solvers for Optimal Design with Bounded Retardation. 99-122 2012 Constrained Optimization and Optimal Control for Partial Differential Equations https://doi.org/10.1007/978-3-0348-0133-1_6 https://www.wikidata.org/entity/Q57389617 books/sp/12/LEGH2012 db/books/collections/LEGH2012.html#GaugerGHKOS12 Günter Leugering Sebastian Engell Andreas Griewank Michael Hinze Rolf Rannacher Volker Schulz 0001 Michael Ulbrich Stefan Ulbrich Constrained Optimization and Optimal Control for Partial Differential Equations Birkhäuser / Springer 2012 International series of numerical mathematics 160 978-3-0348-0132-4 https://doi.org/10.1007/978-3-0348-0133-1 https://www.wikidata.org/entity/Q57389611 db/books/collections/LEGH2012.html

Adel Hamdi Andreas Griewank Reduced quasi-Newton method for simultaneous design and optimization. 521-548 2011 49 Comput. Optim. Appl. 3 https://doi.org/10.1007/s10589-009-9306-x https://www.wikidata.org/entity/Q57389622 db/journals/coap/coap49.html#HamdiG11

Felipe Alvarez Jorge Amaya Andreas Griewank Nikolai Strogies A continuous framework for open pit mine planning. 29-54 2011 73 Math. Methods Oper. Res. 1 https://doi.org/10.1007/s00186-010-0332-3 https://www.wikidata.org/entity/Q57389620 db/journals/mmor/mmor73.html#AlvarezAGS11

Andreas Griewank Obituary for Charles Broyden. 343-344 2011 26 Optim. Methods Softw. 3 https://doi.org/10.1080/10556788.2011.598310 https://www.wikidata.org/entity/Q57389619 db/journals/oms/oms26.html#Griewank11

Sebastian Schlenkrich Andreas Griewank Andrea Walther On the local convergence of adjoint Broyden methods. 221-247 2010 121 Math. Program. 2 https://doi.org/10.1007/s10107-008-0232-y https://www.wikidata.org/entity/Q57389624 db/journals/mp/mp121.html#SchlenkrichGW10

Adel Hamdi Andreas Griewank Properties of an augmented Lagrangian for design optimization. 645-664 2010 25 Optim. Methods Softw. 4 https://doi.org/10.1080/10556780903270910 https://www.wikidata.org/entity/Q57389625 db/journals/oms/oms25.html#HamdiG10

Andreas Griewank Complexity of Gradients, Jacobians, and Hessians. 425-435 2009 Encyclopedia of Optimization https://doi.org/10.1007/978-0-387-74759-0_78 https://www.wikidata.org/entity/Q57389771 reference/opt/2009 db/reference/opt/opt2009.html#Griewank09 Jan Riehme Andreas Griewank Algorithmic Differentiation Through Automatic Graph Elimination Ordering (ADTAGEO). 2009 Combinatorial Scientific Computing http://drops.dagstuhl.de/opus/volltexte/2009/2085/ conf/dagstuhl/2009P9061 db/conf/dagstuhl/P9061.html#RiehmeG09 Andreas Griewank Andrea Walther Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition. I-XXI, 1-438 SIAM 2008 978-0-89871-659-7 https://doi.org/10.1137/1.9780898717761 https://www.wikidata.org/entity/Q57389628

Andreas Griewank Sebastian Schlenkrich Andrea Walther Optimal r-order of an adjoint Broyden method without the assumption of linearly independent steps. 215-225 2008 23 Optim. Methods Softw. 2 https://doi.org/10.1080/10556780701766549 https://www.wikidata.org/entity/Q57389632 db/journals/oms/oms23.html#GriewankSW08

Andreas Griewank Andrea Walther Maciek Korzec Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. 279-295 2007 22 Optim. Methods Softw. 2 https://doi.org/10.1080/10556780500487867 https://www.wikidata.org/entity/Q57389633 db/journals/oms/oms22.html#GriewankWK07

Andreas Griewank Daniel Kressner Le retard en convergence des dérivées pour les calculs itératifs avec point fixe. 5 2005 3 ARIMA J. https://doi.org/10.46298/arima.1837 db/journals/arima/arima3.html#GriewankK05

Oleg P. Burdakov Andreas Griewank Alexander V. Lotov Yury G. Evtushenko - a tribute. 1-7 2005 20 Optim. Methods Softw. 1 https://doi.org/10.1080/10556780412331332015 https://www.wikidata.org/entity/Q57389641 db/journals/oms/oms20.html#BurdakovGL05

Andreas Griewank Andrea Walther On the Efficient Generation of Taylor Expansions for DAE Solutions by Automatic Differentiation. 1089-1098 2004 conf/para/2004 PARA https://doi.org/10.1007/11558958_131 https://www.wikidata.org/entity/Q57389637 db/conf/para/para2004.html#GriewankW04

Andreas Griewank Uwe Naumann Accumulating Jacobians as chained sparse matrix products. 555-571 2003 95 Math. Program. 3 https://doi.org/10.1007/s10107-002-0329-7 https://www.wikidata.org/entity/Q57389652 db/journals/mp/mp95.html#GriewankN03

Andreas Griewank Olaf Vogel Analysis and Exploitation of Jacobian Scarcity. 149-164 2003 HPSC https://doi.org/10.1007/3-540-27170-8_12 https://www.wikidata.org/entity/Q57389770 conf/hpsc/2003 db/conf/hpsc/hpsc2003.html#GriewankV03

Andreas Griewank Christo Mitev Detecting Jacobian sparsity patterns by Bayesian probing. 1-25 2002 93 Math. Program. 1 https://doi.org/10.1007/s101070100281 https://www.wikidata.org/entity/Q57389657 db/journals/mp/mp93.html#GriewankM02

Andreas Griewank Christèle Faure Reduced Functions, Gradients and Hessians from Fixed-Point Iterations for State Equations. 113-139 2002 30 Numer. Algorithms 2 https://doi.org/10.1023/A:1016051717120 https://www.wikidata.org/entity/Q57389660 db/journals/na/na30.html#GriewankF02

Andreas Griewank Andrea Walther On constrained optimization by adjoint based quasi-Newton methods. 869-889 2002 17 Optim. Methods Softw. 5 https://doi.org/10.1080/1055678021000060829 https://www.wikidata.org/entity/Q57389655 db/journals/oms/oms17.html#GriewankW02

Andreas Griewank Evaluating derivatives - principles and techniques of algorithmic differentiation. I-XXIV, 1-369 SIAM 2000 Frontiers in applied mathematics 19 978-0-89871-451-7

Andreas Griewank Jean Utke Andrea Walther Evaluating higher derivative tensors by forward propagation of univariate Taylor series. 1117-1130 2000 69 Math. Comput. 231 db/journals/moc/moc69.html#GriewankUW00 https://doi.org/10.1090/S0025-5718-00-01120-0 https://www.wikidata.org/entity/Q57389664

Andreas Griewank Andrea Walther Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. 19-45 2000 26 ACM Trans. Math. Softw. 1 https://doi.org/10.1145/347837.347846 https://www.wikidata.org/entity/Q57389662 db/journals/toms/toms26.html#GriewankW00

Juan M. Restrepo Gary K. Leaf Andreas Griewank Circumventing Storage Limitations in Variational Data Assimilation Studies. 1586-1605 1998 19 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/S1064827595285500 https://www.wikidata.org/entity/Q57389670 db/journals/siamsc/siamsc19.html#RestrepoLG98

Andreas Griewank David W. Juedes Jean Utke Algorithm 755: ADOL-C: A Package for the Automatic Differentiation of Algorithms Written in C/C++. 131-167 1996 22 ACM Trans. Math. Softw. 2 https://doi.org/10.1145/229473.229474 https://www.wikidata.org/entity/Q57389676 db/journals/toms/toms22.html#GriewankJU96

George F. Corliss Andreas Griewank Petra Henneberger Gabriela Kirlinger Florian A. Potra Hans J. Stetter High-Order Stiff ODE Solvers via Automatic Differentiation and Rational Prediction. 114-125 1996 conf/naa/1996 WNAA db/conf/naa/wnaa1996.html#CorlissGHKPS96 https://doi.org/10.1007/3-540-62598-4_85 https://www.wikidata.org/entity/Q57389673

Brett M. Averick Christian H. Bischof Robert E. Bixby Alan Carle John E. Dennis Jr. Mahmoud El-Alem Amr El-Bakry Andreas Griewank G. Johnson Robert M. Lewis Jorge J. Moré Richard A. Tapia Virginia Torczon Karen Williamson Numerical Optimization At the Center for Research On Parallel Computation. 143-153 1994 8 Int. J. High Perform. Comput. Appl. 2 https://doi.org/10.1177/109434209400800206 https://www.wikidata.org/entity/Q57389681 db/journals/ijhpca/ijhpca8.html#AverickBBCDEEGJLMTTW94

Brett M. Averick Jorge J. Moré Christian H. Bischof Alan Carle Andreas Griewank Computing Large Sparse Jacobian Matrices Using Automatic Differentiation. 285-294 1994 15 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/0915020 https://www.wikidata.org/entity/Q57389682 db/journals/siamsc/siamsc15.html#AverickMBCG94

Christian H. Bischof Alan Carle George F. Corliss Andreas Griewank Paul D. Hovland ADIFOR - Generating Derivative Codes form Fortran Programs. 11-29 1992 1 Sci. Program. https://doi.org/10.1155/1992/717832 http://content.iospress.com/articles/scientific-programming/spr1-1-02 https://www.wikidata.org/entity/Q57389705 1 db/journals/sp/sp1.html#BischofCCGH92

Christian H. Bischof Alan Carle George F. Corliss Andreas Griewank ADIFOR: Automatic Differentiation in a Source Translator Environment. 294-302 1992 conf/issac/1992 ISSAC https://doi.org/10.1145/143242.143335 https://www.wikidata.org/entity/Q57389702 db/conf/issac/issac92.html#BischofCCG92

Andreas Griewank The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. 141-175 1991 50 Math. Program. db/journals/mp/mp50.html#Griewank91 https://doi.org/10.1007/BF01594933 https://www.wikidata.org/entity/Q57389714

Andreas Griewank Hubertus Th. Jongen Man Kam Kwong The equivalence of strict convexity and injectivity of the gradient in bounded level sets. 273-278 1991 51 Math. Program. db/journals/mp/mp51.html#GriewankJK91 https://doi.org/10.1007/BF01586939 https://www.wikidata.org/entity/Q57389713

Christian H. Bischof Andreas Griewank David W. Juedes Exploiting parallelism in automatic differentiation. 146-153 1991 conf/ics/1991 ICS https://doi.org/10.1145/109025.109067 https://www.wikidata.org/entity/Q57389720 db/conf/ics/ics1991.html#BischofGJ91

Andreas Griewank Philippe L. Toint On the existence of convex decompositions of partially separable functions. 25-49 1984 28 Math. Program. 1 https://doi.org/10.1007/BF02612711 https://www.wikidata.org/entity/Q57389746 db/journals/mp/mp28.html#GriewankT84

Felipe Alvarez Jorge Amaya Andreas Ammon Brett M. Averick Jens-Uwe Bernt Franz Bethke Christian H. Bischof Robert E. Bixby Torsten Bosse Oleg BurdakovOleg P. Burdakov Alan Carle Coralia Cartis Bruce Christianson George F. Corliss John E. DennisJohn E. Dennis Jr. Mahmoud El-Alem Amr S. El-BakryAmr El-Bakry Sebastian Engell Rentsen Enkhbat Christèle Faure Sabrina Fiege Jonathan Fischer Shaun A. Forth Nicolas R. Gauger J. Guddat Adel Hamdi Richard Hasenfelder Petra Henneberger Michael Hinze Paul D. Hovland Karl Jansen G. Johnson Hubertus Th. Jongen David W. Juedes Gabriela Kirlinger Maciek Korzec Claudia Kratzenstein Daniel Kressner Koichi Kubota Kshitij Kulshreshtha Frances Y. Kuo Man Kam Kwong Gary K. Leaf Lutz Lehmann Hernan LeöveyHernan Leovey Günter Leugering Robert M. Lewis Alexander V. Lotov Christo Mitev Jorge J. Moré M. Müller-Preussker Uwe Naumann Emre Özkaya Florian A. Potra Manuel Radons Amr Radwan Rolf Rannacher Juan M. Restrepo Jan Riehme Angel Rojas Siegfried M. Rump Sebastian Schlenkrich Volker Schulz 0001 Thomas Slawig Ian H. Sloan Hans J. Stetter Tom Streubel Nikolai Strogies Richard A. Tapia Caren Tischendorf Philippe L. Toint Virginia Torczon Michael Ulbrich Stefan Ulbrich Jean Utke Olga Vasilieva Olaf Vogel Andrea Walther Karen Williamson Ya-Xiang Yuan Marat Zilberman