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## Steihaug, Trond

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 Author ID: steihaug.trond Published as: Steihaug, T.; Steihaug, Trond
 Documents Indexed: 47 Publications since 1977
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#### Co-Authors

 5 single-authored 7 El Ghami, Mohamed 5 Hossain, Shahadat 3 Baryamureeba, Venansius 3 Dembo, Ron S. 3 Gundersen, Geir 3 Roos, Cornelis 3 Suleiman, Sara 2 Diaz, Julio Cesar 2 Frimannslund, Lennart 2 Ivanov, I. D. 2 Jines, William R. 2 Rojas, Marielba 2 Schaarschmidt, Ute 2 Subbey, Sam 2 Yalçınkaya, Yasemin 1 Abramson, Mark A. 1 Axelsson, Axel Owe Holger 1 Bergmann, Ørjan 1 Betté, Srinivas 1 Bouali, Said 1 Cai, Xinzhong 1 Dennis, John E. jun. 1 Eisenstat, Stanley C. 1 Fontecilla, Rodrigo 1 Fotland, Bjørn H. 1 Guennoun, Z. A. 1 Hossain, A. K. M. Shahadat 1 Khattri, Sanjay K. 1 Li, Longxiang 1 McDonald, A. E. 1 Melissen, J. B. M. 1 Rogers, Douglas G. 1 Tapia, Richard A. 1 Wang, Guoqiang 1 Wolfbrandt, Arne 1 Zhang, Yin
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#### Serials

 8 Optimization Methods & Software 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Numerical Analysis 2 Discrete Applied Mathematics 2 Mathematics of Computation 2 Mathematical Programming 2 Numerical Algorithms 1 Inverse Problems 1 Journal of Computational Physics 1 ACM Transactions on Mathematical Software 1 Mathematics and Computers in Simulation 1 Normat 1 Applied Numerical Mathematics 1 Communications in Applied Numerical Methods 1 Mathematica Balkanica. New Series 1 Journal of Global Optimization 1 Computational Optimization and Applications 1 International Journal of Applied Mathematics 1 RAIRO. Operations Research 1 Pacific Journal of Optimization 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Optimization Letters
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#### Fields

 32 Numerical analysis (65-XX) 27 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

33 Publications have been cited 984 times in 856 Documents Cited by Year
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
1982
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
1983
Truncated-Newton algorithms for large-scale unconstrained optimization. Zbl 0523.90078
Dembo, Ron S.; Steihaug, Trond
1983
An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations. Zbl 0451.65055
Steihaug, Trond; Wolfbrandt, Arne
1979
Interior-point methods for linear optimization based on a kernel function with a trigonometric barrier term. Zbl 1242.90292
El Ghami, M.; Guennoun, Z. A.; Bouali, S.; Steihaug, T.
2012
A convergence theory for a class of quasi-Newton methods for constrained optimization. Zbl 0634.65045
Fontecilla, Rodrigo; Steihaug, Trond; Tapia, Richard A.
1987
An interior-point trust-region-based method for large-scale non-negative regularization. Zbl 1015.90062
Rojas, Marielba; Steihaug, Trond
2002
A polynomial-time algorithm for linear optimization based on a new class of kernel functions. Zbl 1162.65031
El Ghami, M.; Ivanov, I.; Melissen, J. B. M.; Roos, C.; Steihaug, T.
2009
On large-scale unconstrained optimization problems and higher order methods. Zbl 1202.65074
Gundersen, Geir; Steihaug, Trond
2010
Computing a sparse Jacobian matrix by rows and columns. Zbl 0915.65017
Hossain, A. K. M. Shahadat; Steihaug, Trond
1998
A generic primal-dual interior-point method for semidefinite optimization based on a new class of kernel functions. Zbl 1220.90081
El Ghami, Mohamed; Roos, Cornelis; Steihaug, Trond
2010
Graph coloring in the estimation of sparse derivative matrices: Instances and applications. Zbl 1130.65046
2008
Algorithm for forming derivative-free optimal methods. Zbl 1304.65143
Khattri, Sanjay K.; Steihaug, Trond
2014
A generating set search method using curvature information. Zbl 1171.90552
Frimannslund, Lennart; Steihaug, Trond
2007
On the convergence of an inexact primal-dual interior point method for linear programming. Zbl 1142.90497
Baryamureeba, Venansius; Steihaug, Trond
2006
Sparsity in higher order methods for unconstrained optimization. Zbl 1244.90220
Gundersen, Geir; Steihaug, Trond
2012
On the successive projections approach to least-squares problems. Zbl 0614.65059
Dennis, J. E. jun.; Steihaug, Trond
1986
Rate of convergence of higher-order methods. Zbl 1281.65080
Steihaug, Trond; Suleiman, Sara
2013
A polynomial-time algortihm for LO based on generalized logarithmic barrier functions. Zbl 1142.90018
El-Ghami, M.; Ivanov, I. D.; Roos, C.; Steihaug, T.
2008
Application of a class of preconditioners to large scale linear programming problems. Zbl 0946.65045
Baryamureeba, Venansius; Steihaug, Trond; Zhang, Yin
1999
A subclass of generating set search with convergence to second-order stationary points. Zbl 1298.90101
Abramson, Mark A.; Frimannslund, Lennart; Steihaug, Trond
2014
Graph models and their efficient implementation for sparse Jacobian matrix determination. Zbl 1287.05155
2013
Optimal direct determination of sparse Jacobian matrices. Zbl 1278.90340
2013
Sparsity issues in the computation of Jacobian matrices. Zbl 1072.68671
2002
On diagonally structured problems in unconstrained optimization using an inexact super Halley method. Zbl 1256.65055
Gundersen, Geir; Steihaug, Trond
2012
A test problem generator for large-scale unconstrained optimization. Zbl 0559.90080
Dembo, R. S.; Steihaug, T.
1985
Local and superlinear convergence for truncated iterated projections methods. Zbl 0532.49016
Steihaug, Trond
1983
Some computational aspects in the numerical solution of parabolic equations. Zbl 0409.65043
Axelsson, Owe; Steihaug, Trond
1978
On the final steps of Newton and higher order methods. Zbl 1343.90091
Steihaug, Trond; Suleiman, Sara
2016
Computational and sensitivity aspects of eigenvalue-based methods for the large-scale trust-region subproblem. Zbl 1273.90142
Rojas, Marielba; Fotland, Bjørn H.; Steihaug, Trond
2013
A block preconditioned conjugate gradient-type iterative solver for linear systems in thermal reservoir simulation. Zbl 0599.76113
Betté, Srinivas; Diaz, Julio C.; Jines, William R.; Steihaug, Trond
1986
Block diagonal scaling for iterative methods in thermal simulation. Zbl 0588.76155
Díaz, J. C.; Jines, W. R.; McDonald, A. E.; Steihaug, T.
1985
On the sparse and symmetric least-change secant update. Zbl 0549.65042
Steihaug, Trond
1984
On the final steps of Newton and higher order methods. Zbl 1343.90091
Steihaug, Trond; Suleiman, Sara
2016
Algorithm for forming derivative-free optimal methods. Zbl 1304.65143
Khattri, Sanjay K.; Steihaug, Trond
2014
A subclass of generating set search with convergence to second-order stationary points. Zbl 1298.90101
Abramson, Mark A.; Frimannslund, Lennart; Steihaug, Trond
2014
Rate of convergence of higher-order methods. Zbl 1281.65080
Steihaug, Trond; Suleiman, Sara
2013
Graph models and their efficient implementation for sparse Jacobian matrix determination. Zbl 1287.05155
2013
Optimal direct determination of sparse Jacobian matrices. Zbl 1278.90340
2013
Computational and sensitivity aspects of eigenvalue-based methods for the large-scale trust-region subproblem. Zbl 1273.90142
Rojas, Marielba; Fotland, Bjørn H.; Steihaug, Trond
2013
Interior-point methods for linear optimization based on a kernel function with a trigonometric barrier term. Zbl 1242.90292
El Ghami, M.; Guennoun, Z. A.; Bouali, S.; Steihaug, T.
2012
Sparsity in higher order methods for unconstrained optimization. Zbl 1244.90220
Gundersen, Geir; Steihaug, Trond
2012
On diagonally structured problems in unconstrained optimization using an inexact super Halley method. Zbl 1256.65055
Gundersen, Geir; Steihaug, Trond
2012
On large-scale unconstrained optimization problems and higher order methods. Zbl 1202.65074
Gundersen, Geir; Steihaug, Trond
2010
A generic primal-dual interior-point method for semidefinite optimization based on a new class of kernel functions. Zbl 1220.90081
El Ghami, Mohamed; Roos, Cornelis; Steihaug, Trond
2010
A polynomial-time algorithm for linear optimization based on a new class of kernel functions. Zbl 1162.65031
El Ghami, M.; Ivanov, I.; Melissen, J. B. M.; Roos, C.; Steihaug, T.
2009
Graph coloring in the estimation of sparse derivative matrices: Instances and applications. Zbl 1130.65046
2008
A polynomial-time algortihm for LO based on generalized logarithmic barrier functions. Zbl 1142.90018
El-Ghami, M.; Ivanov, I. D.; Roos, C.; Steihaug, T.
2008
A generating set search method using curvature information. Zbl 1171.90552
Frimannslund, Lennart; Steihaug, Trond
2007
On the convergence of an inexact primal-dual interior point method for linear programming. Zbl 1142.90497
Baryamureeba, Venansius; Steihaug, Trond
2006
An interior-point trust-region-based method for large-scale non-negative regularization. Zbl 1015.90062
Rojas, Marielba; Steihaug, Trond
2002
Sparsity issues in the computation of Jacobian matrices. Zbl 1072.68671
2002
Application of a class of preconditioners to large scale linear programming problems. Zbl 0946.65045
Baryamureeba, Venansius; Steihaug, Trond; Zhang, Yin
1999
Computing a sparse Jacobian matrix by rows and columns. Zbl 0915.65017
Hossain, A. K. M. Shahadat; Steihaug, Trond
1998
A convergence theory for a class of quasi-Newton methods for constrained optimization. Zbl 0634.65045
Fontecilla, Rodrigo; Steihaug, Trond; Tapia, Richard A.
1987
On the successive projections approach to least-squares problems. Zbl 0614.65059
Dennis, J. E. jun.; Steihaug, Trond
1986
A block preconditioned conjugate gradient-type iterative solver for linear systems in thermal reservoir simulation. Zbl 0599.76113
Betté, Srinivas; Diaz, Julio C.; Jines, William R.; Steihaug, Trond
1986
A test problem generator for large-scale unconstrained optimization. Zbl 0559.90080
Dembo, R. S.; Steihaug, T.
1985
Block diagonal scaling for iterative methods in thermal simulation. Zbl 0588.76155
Díaz, J. C.; Jines, W. R.; McDonald, A. E.; Steihaug, T.
1985
On the sparse and symmetric least-change secant update. Zbl 0549.65042
Steihaug, Trond
1984
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
1983
Truncated-Newton algorithms for large-scale unconstrained optimization. Zbl 0523.90078
Dembo, Ron S.; Steihaug, Trond
1983
Local and superlinear convergence for truncated iterated projections methods. Zbl 0532.49016
Steihaug, Trond
1983
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
1982
An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations. Zbl 0451.65055
Steihaug, Trond; Wolfbrandt, Arne
1979
Some computational aspects in the numerical solution of parabolic equations. Zbl 0409.65043
Axelsson, Owe; Steihaug, Trond
1978
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#### Cited by 1,244 Authors

 20 Argyros, Ioannis Konstantinos 15 Zhu, Detong 14 Chacón, Luis 14 Steihaug, Trond 14 Toint, Philippe L. 13 Lukšan, Ladislav 12 Knoll, Dana A. 12 Martínez, José Mario 12 Weiner, Rüdiger 11 Peyghami, Mohammad Reza 10 Lucidi, Stefano 9 Deng, Naiyang 9 Ferreira, Orizon Pereira 9 Kelley, Carl T. 8 Bellavia, Stefania 8 Galligani, Emanuele 8 González-Pinto, Severiano 8 Hernandez-Abreu, Domingo 8 Hossain, Shahadat 8 Morini, Benedetta 8 Pérez Rodríguez, S. 8 Wang, Guoqiang 8 Wu, Qingbiao 7 Gould, Nicholas Ian Mark 7 Yuan, Ya-xiang 7 Zhang, Jianzhong 6 Chen, Minhong 6 Curtis, Frank E. 6 De Simone, Valentina 6 di Serafino, Daniela 6 Fasano, Giovanni 6 Gondzio, Jacek 6 Hafshejani, S. Fathi 6 Nash, Stephen G. 6 Reichel, Lothar 6 Shadid, John N. 6 Vlček, Jan 6 Yuan, Gonglin 6 Zhang, Lei-Hong 5 Cai, Xinzhong 5 Dussault, Jean-Pierre 5 Fathi-Hafshejani, Sajad 5 Guo, Xueping 5 Hairer, Ernst 5 Krejić, Nataša 5 Magreñán, Ángel Alberto 5 Orban, Dominique 5 Robinson, Daniel P. 5 Sachs, Ekkehard W. 5 Schmitt, Bernhard A. 5 Sun, Wenyu 5 Wright, Stephen J. 4 Axelsson, Axel Owe Holger 4 Bai, Zhongzhi 4 Bala Abubakar, Auwal 4 Behl, Ramandeep 4 Biros, George 4 Bonettini, Silvia 4 Bouafia, Mousaab 4 Cai, Xiao-Chuan 4 Cătinaş, Emil 4 Chen, Jinhai 4 Cho, Gyeong-Mi 4 Facchinei, Francisco 4 George, Santhosh 4 Gomes-Ruggiero, Márcia Ap. 4 Grippo, Luigi 4 Jbilou, Khalide 4 Kanzow, Christian 4 Lampariello, Francesco 4 Li, Chong 4 Loli Piccolomini, Elena 4 Mang, Andreas 4 Mansouri, Hossein 4 Mousseau, Vincent A. 4 Navon, Ionel Michael 4 Nocedal, Jorge 4 Philip, Bobby 4 Pinnau, René 4 Qi, Liqun 4 Roma, Massimo 4 Royer, Clément W. 4 Ruggiero, Valeria 4 Sandu, Adrian 4 Shen, Chungen 4 Shen, Weiping 4 Simoncini, Valeria 4 Śmietański, Marek J. 4 Strehmel, Karl 4 Szyld, Daniel B. 4 Tuminaro, Ray S. 4 Wei, Zengxin 4 Wohlmuth, Barbara I. 4 Yassine, Adnan 3 An, Hengbin 3 Benner, Peter 3 Bentbib, Abdeslem Hafid 3 Benterki, Djamel 3 Berrill, Mark A. 3 Birken, Philipp ...and 1,144 more Authors
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#### Cited in 143 Serials

 68 Journal of Computational and Applied Mathematics 55 Journal of Computational Physics 54 Journal of Optimization Theory and Applications 49 Optimization Methods & Software 47 Computational Optimization and Applications 46 Applied Mathematics and Computation 32 Applied Numerical Mathematics 29 Mathematical Programming. Series A. Series B 27 Numerical Algorithms 21 Numerische Mathematik 19 Computers & Mathematics with Applications 17 SIAM Journal on Scientific Computing 15 Computer Methods in Applied Mechanics and Engineering 15 SIAM Journal on Optimization 14 BIT 13 Journal of Applied Mathematics and Computing 12 Computing 11 Mathematical Programming 10 International Journal of Computer Mathematics 9 Numerical Functional Analysis and Optimization 9 Journal of Global Optimization 9 Optimization Letters 8 Optimization 8 European Journal of Operational Research 8 Numerical Linear Algebra with Applications 7 Mathematics of Computation 7 Computational and Applied Mathematics 6 Inverse Problems 6 International Journal for Numerical Methods in Engineering 6 Journal of Inequalities and Applications 6 Optimization and Engineering 5 Calcolo 5 SIAM Journal on Numerical Analysis 5 Operations Research Letters 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Scientific Computing 4 Computers and Fluids 4 Kybernetika 4 Computational Mechanics 4 Applied Mathematics Letters 4 Linear Algebra and its Applications 4 SIAM Review 4 Abstract and Applied Analysis 3 Discrete Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Control and Optimization 3 Journal of Economic Dynamics & Control 3 Annals of Operations Research 3 Computational Geosciences 3 Acta Numerica 3 Mathematical Programming Computation 3 S$$\vec{\text{e}}$$MA Journal 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal of Control 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Asia-Pacific Journal of Operational Research 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Computational Mathematics and Mathematical Physics 2 Applicationes Mathematicae 2 Advances in Computational Mathematics 2 Journal of Mathematical Chemistry 2 International Journal of Computational Fluid Dynamics 2 Mathematical Methods of Operations Research 2 Acta Mathematica Sinica. English Series 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIAM Journal on Imaging Sciences 2 Algorithms 2 Afrika Matematika 2 Numerical Algebra, Control and Optimization 2 Journal of the Operations Research Society of China 2 East Asian Journal on Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Scandinavian Journal of Statistics 1 Transport Theory and Statistical Physics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Networks 1 Trabajos de Estadistica y de Investigacion Operativa 1 Cybernetics and Systems 1 Journal of Information & Optimization Sciences 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity ...and 43 more Serials
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#### Cited in 32 Fields

 611 Numerical analysis (65-XX) 410 Operations research, mathematical programming (90-XX) 111 Calculus of variations and optimal control; optimization (49-XX) 87 Fluid mechanics (76-XX) 73 Partial differential equations (35-XX) 39 Operator theory (47-XX) 38 Ordinary differential equations (34-XX) 30 Computer science (68-XX) 30 Mechanics of deformable solids (74-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 17 Statistics (62-XX) 14 Information and communication theory, circuits (94-XX) 13 Optics, electromagnetic theory (78-XX) 13 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Combinatorics (05-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Astronomy and astrophysics (85-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX)