Academic article

• Trond Steihaug; Milo Gardner (2025). Fibonacci and Egyptian Fractions. (external link)
• Trond Steihaug (2024). On the Square Root Computation in Liber Abaci and De Practica Geometrie by Fibonacci. (external link)
• Trond Steihaug (2022). Fibonacci and digit by digit computation; An example of reverse engineering in computational mathematics. (external link)
• Trond Steihaug (2022). A Story of Computational Science: Colonel Titus’ Problem from the 17th Century. (external link)
• Trond Steihaug (2019). Computational science in the eighteenth century. Test cases for the methods of Newton, Raphson, and Halley: 1685 to 1745. (external link)
• Mohamed el Ghami; Guoqiang Wang; Trond Steihaug (2019). Primal-dual algorithms for semidifinite optimization problems based on Kernel-function with trigonometric barrier term. (external link)
• Anna-Lena Both; Helene Hisken Pedersen; Jan-Joachim Rückmann et al. (2019). Surrogate-based model parameter optimization based on gas explosion experimental data. (external link)
• Ute-Alexandra Schaarschmidt; Trond Steihaug; Sam Subbey (2018). A parametrized stock-recruitment relationship derived from a slow-fast population dynamic model. (external link)
• Venansius Baryamureeba; Trond Steihaug; Mohamed el Ghami (2018). A review of termination rules of an inexact primal-dual interior point method for linear programming problems. (external link)
• X.Z. Cai; L. Li; Mohamed El Ghami et al. (2017). A New Parametric Kernel Function Yielding the Best Known Iteration Bonds of Interior Point Methods for the Cartesian P∗(κ)-SCLCP. (external link)
• G.Q Wang; Mohamed El Ghami; Trond Steihaug (2017). A New Parametric Kernel Function with trigonometric barrier term for convex quadratic symmetric cone optimization. (external link)
• Trond Steihaug; Sara Suleiman (2016). On the final steps of Newton and higher order methods. (external link)
• Ute-Alexandra Schaarschmidt; Trond Steihaug; Sam Subbey (2015). Derivative-free optimization for population dynamic models. (external link)
• Sanjay Kumar Khattri; Trond Steihaug (2014). Algorithm for forming derivative-free optimal methods. (external link)
• Mark Abramson; Lennart Frimannslund; Trond Steihaug (2014). A subclass of generating set search with convergence to second-order stationary points. (external link)
• Shahadat Hossain; Trond Steihaug (2013). Optimal direct determination of sparse Jacobian matrices. (external link)
• Trond Steihaug; Sara Suleiman (2013). Rate of convergence of higher order methods. (external link)
• Trond Steihaug; D. G. Rogers (2013). Approximating cube roots of integers, after Heron’s Metrica III.20. (external link)
• Shahadat Hossain; Trond Steihaug (2013). Graph models and their efficient implementation for sparse Jacobian matrix determination. (external link)
• Trond Steihaug; Sara Suleiman (2013). Global convergence and the Powell singular function. (external link)
• Shahadat Hossain; Trond Steihaug (2013). Sparse matrix computations with application to solving system of nonlinear equations. (external link)
• Ørjan Bergmann; Trond Steihaug (2013). Solving trust-region subproblem augmented with linear inequality constraints. (external link)
• Marielba Rojas; Bjørn Harald Fotland; Trond Steihaug (2013). Computational and sensitivity aspects of eigenvalue-based methods for the large-scale trust-region subproblem. (external link)
• Geir Gundersen; Trond Steihaug (2012). On diagonally structured problems in unconstrained optimization using an inexact super Halley method. (external link)
• Geir Gundersen; Trond Steihaug (2012). Sparsity in higher order methods for unconstrained optimization. (external link)
• Mohamed El Ghami; ZINE EL ABIDINE GUENNOUN; Samir Bouali et al. (2012). Interior-point methods for linear optimization based on a kernel function with a trigonometric barrier term. (external link)
• Lennart Frimannslund; Trond Steihaug (2011). On a New Method for Derivative Free Optimization. (external link)
• Ørjan Bergmann; Trond Steihaug (2011). Solving trust-region subproblem augmented with linear inequality constraints. (external link)
• Trond Steihaug; Sara Suleiman (2011). Rate of convergence of higher order methods. (external link)
• Mohamed El Ghami; Trond Steihaug (2010). Kernel-function Based Primal-Dual Algorithms for P*(κ) Linear Complementarity Problems. (external link)
• Trond Steihaug; Geir Gundersen (2010). On large-scale unconstrained optimization problems and higher order methods. (external link)
• Mohamed El Ghami; Cornelis Roos; Trond Steihaug (2010). A generic primal-dual interior-point method for semidefinite optimization based on a new class of kernel functions. (external link)
• Mohamed El Ghami; Trond Steihaug (2009). Interior Point Methods for Self-Dual Linear Optimization Problems Based on Kernel Functions. (external link)
• Mohamed El Ghami; Ivan Ivanov; Trond Steihaug (2009). Primal-dual interior-point methods solver based on kernel functions for Linear Optimization. (external link)
• Mohamed El Ghami; Ivan Ivanov; Hans Melissen et al. (2009). A polynomial-time algorithm for linear optimization based on a new class of kernel functions. (external link)
• Shahadat Hossain; Trond Steihaug (2009). The CPR Method and Beyond : Prologue. (external link)
• Mohamed El Ghami; Ivan D. Ivanov; Cornelis Roos et al. (2008). A polynomial-time algorithm for LO based on generalized logarithmic barrier functions. (external link)
• Shahadat Hossain; Trond Steihaug (2008). Graph coloring in the estimation of sparse derivative matrices: Instances and applications. (external link)
• Geir Gundersen; Trond Steihaug (2008). Halley and Newton are one step apart. (external link)
• Mohamed El Ghami; Ivan Ivanov; Hans Melissen et al. (2008). Primal-Dual Algorithm for Linear Optimization Problems Based on a New Class of Kernel Functions. (external link)
• Venansius Baryamureeba; Trond Steihaug (2007). Properties of Preconditioners for Robust Linear Regression. (external link)
• Lennart Frimannslund; Trond Steihaug (2007). Sparsity of the average curvature information matrix. (external link)
• Lennart Frimannslund; Trond Steihaug (2007). A generating set search method using curvature information. (external link)
• Venansius Baryamureeba; Trond Steihaug (2006). On the Convergence of an Inexact Primal-Dual Interior Point Method for Linear Programming. (external link)
• Yasemin Yalcinkaya; Trond Steihaug (2005). Aggregating variables for asynchronous iterations. (external link)
• Trond Steihaug; Yasemin Yalcinkaya (2004). Reducing the deteriorating effect of old history in asynchronous iterations. (external link)
• Geir Gundersen; Trond Steihaug (2004). Data Structures in Java for Matrix Computations. (external link)
• Marielba Rojas; Trond Steihaug (2002). An interior point trust-region based method for large scale nonnegative regularization. (external link)
• Trond Steihaug; Yasemin Yalcinkaya (1997). Deteriorating Convergence for Asynchronous Methods on Linear Least Squares Problem. (external link)

Academic book chapter

• Trond Steihaug (2021). Computational Science in the 17th Century. Numerical Solution of Algebraic Equations: Digit–by–Digit Computation. (external link)
• Laurent Hascoêt; Shahadat Hossain; Trond Steihaug (2013). Structure in Optimization: Factorable Programming and Functions. (external link)
• Trond Steihaug; Wenli Wang (2013). Adaptive Curve Tailoring. (external link)
• Lennart Frimannslund; Trond Steihaug (2011). A Class of Methods Combining L-BFGS and Truncated Newton. (external link)
• Lennart Frimannslund; Trond Steihaug (2010). A New Generating Set Search Algorithm for Partially Separable Functions. (external link)
• Trond Steihaug; Sara Suleiman (2010). Rate of Convergence of Higher Order Methods. (external link)
• Mohamed El Ghami; Trond Steihaug (2009). An Implementation of Interior-Point Methods Based on Kernel Functions for Linear Optimization. (external link)
• Mohamed El Ghami; Trond Steihaug; Cornelis Roos (2007). Primal-Dual IPMS for semidefinite optimization based on finite barrier functions. (external link)
• Geir Gundersen; Trond Steihaug (2006). On computing with general sparse third derivatives in unconstrained optimization. (external link)
• Ørjan Bergmann; Arvid Lundervold; Trond Steihaug (2005). Generating a Synthetic Diffusion Tensor Dataset. (external link)
• Geir Gundersen; Trond Steihaug (2004). On The Use of Java Arrays for Sparse Matrix Computations. (external link)
• A. K. M. Shahadat Hossein; Trond Steihaug (1996). Computing a sparse Jacobian matrix by rows and columns. (external link)

Book anthology

• Shahadat Hossain; Trond Steihaug (2005). Computing Sparse Jacobian Matrices Optimally. (external link)

Conference abstract

• Laurent Hascoêt; Shahadat Hossain; Trond Steihaug (2013). Structured computation in optimization and Algorithmic Differentiation. (external link)

Conference lecture

• Ute-Alexandra Schaarschmidt; Trond Steihaug; Sam Subbey (2015). Derivative-Free Optimization for Population Dynamic Models. (external link)
• Ute-Alexandra Schaarschmidt; Sam Subbey; Trond Steihaug (2014). A Stock-recruitment Relationship Derived from a Slow-fast Population Dynamic Model. (external link)
• Ute Schaarshmidt; Sam Subbey; Trond Steihaug (2014). A Stock-recruitment Relationship Derived from a Slow-fast Population Dynamic Model. (external link)
• Trond Steihaug; Sara Suleiman (2013). Curvilinear search and higher order methods. (external link)
• Trond Steihaug (2011). Factorable programming revisited. (external link)
• Trond Steihaug; Sara Suleiman (2011). Rate of Convergence of Higher Order Methods. (external link)
• Trond Steihaug (2011). Higher Order Methods for Nonlinear System of Equations and Unconstrained Optimization. (external link)
• Trond Steihaug (2011). Sparse Matrix Structures and Higher Derivatives. (external link)
• Trond Steihaug; Sara Suleiman (2010). Global Convergence and the Powell Singular Function. (external link)
• Trond Steihaug; Sara Suleiman (2010). Global Convergence and the Powell Singular Function. (external link)
• Shahadat Hossain; Trond Steihaug (2010). Graph Models and their Efficient Implementation for Sparse Jacobian Matrix Determination. (external link)
• Trond Steihaug (2010). Higher Order Methods for Solving Systems of Nonlinear Equations. (external link)
• Sara Suleiman; Trond Steihaug; Geir Gundersen (2010). Higher Order Methods. (external link)
• Trond Steihaug; Lennart Frimannslund; Mark Abramson (2009). Generating Set Search with Convergence to Second-order Stationary Points and the Impact of Sparsity. (external link)
• Geir Gundersen; Trond Steihaug; Sara Tagelsir Mohamed Suleiman et al. (2009). When Halley and Newton are one step apart ...... (external link)
• Mohamed El Ghami; Ivan Ivanov; Hans Melissen et al. (2008). Primal-Dual Algorithm for Linear Optimization Problems Based on a New Class of Kernel Functions. (external link)
• Mohamed El Ghami; Trond Steihaug (2007). Primal-Dual IPMs for a Class of Linear Complementarity Problems Based on Kernel Functions. (external link)
• Mohamed El Ghami; Cornelis Roos; Trond Steihaug (2007). A Generic Primal-dual Interior-point Algorithm for Cone Optimization Based on Kernel Functions. (external link)
• Trond Steihaug; Lennart Frimannslund (2007). Derivative Free Optimization and Average Curvature Information. (external link)
• Mohamed El Ghami; Trond Steihaug; Cornelis Roos (2007). Primal-Dual IPMS for semidefinite optimization based on finite barrier functions. (external link)
• Lennart Frimannslund; Mohamed El Ghami; Trond Steihaug et al. (2007). Flow Models in Pipeline Transportation Networks for Natural Gas. (external link)
• Mohamed El Ghami; Cornelis Roos; Trond Steihaug (2007). Primal-dual Interior-point Algorithm for Conic Optimization Based on Kernel Functions. (external link)
• Geir Gundersen; Trond Steihaug (2006). Cubically convergent methods are no more expensive (almost) than Newton's method. (external link)
• Geir Gundersen; Trond Steihaug (2006). On computing with general sparse third derivatives in unconstrained optimization. (external link)
• Geir Gundersen; Trond Steihaug (2006). Sparsity in Higher Order Methods in Optimization. (external link)
• Lennart Frimannslund; Trond Steihaug (2006). Separability and Sufficient Decrease in Generating Set Search Methods. (external link)
• Trond Steihaug; Shahadat Hossain (2006). The CPR and Beyond. (external link)
• Trond Steihaug; Geir Gundersen (2006). Newton and Halley are one step apart. (external link)
• Trond Steihaug (2004). Computing a sparse Jacobian by elimination, substitution or direct method: What is the difference?. (external link)
• Lennart Frimannslund; Trond Steihaug (2004). A new Generating Set Search Method for Unconstrained Optimisation. (external link)
• Lennart Frimannslund; Trond Steihaug (2004). A Generating Set Search Method Exploiting Curvature and Sparsity. (external link)
• Geir Gundersen; Trond Steihaug (2003). On The Use of Java Arrays for Sparse Matrix Computations. (external link)
• Shahadat Hossain; Trond Steihaug (2003). Graph Coloring in the Estimation of Mathematical Derivatives. (external link)
• Shahadat Hossain; Trond Steihaug (2003). When Sparsity Counts: Optimal Direct Jacobian Computation. (external link)
• Ørjan Bergmann; Trond Steihaug; Arvid Lundervold (2003). Discrete event simulation and rodent navigaton. (external link)
• Ørjan Bergmann; Trond Steihaug; Arvid Lundervold (2003). Discrete event simulation and rodent navigation. (external link)
• Marielba Rojas; Trond Steihaug (2002). An interior point trust-region based method for large scale nonnegative regularization. nr. TR/PA/01/11. (external link)
• Trond Steihaug (2002). Higher order methods and the quest for order. (external link)
• Marielba Rojas; Trond Steihaug (2002). An Interior-Point Trust-Region-Based Method for Large-Scale Nonnegative Regularization. (external link)
• Shahadat Hossain; Trond Steihaug (2002). Sparsity issues in the computation of Jacobian Matrices. (external link)
• Shahadat Hossain; Trond Steihaug (2002). Indirect Methods For Computing Sparse Jacobian Matrices. (external link)
• Geir Gundersen; Trond Steihaug (2002). Data Structures in Java for Matrix Computations. (external link)
• Shahadat Hossain; Trond Steihaug (2002). Graph coloring in the estimation of mathematical derivatives. (external link)
• Marielba Rojas; Trond Steihaug (2002). Large-Scale Optimization Techniques for Nonnegative Image Restorations. (external link)
• Trond Steihaug; Venansius Baryamureeba (2001). Computational Issues for a Low Rank Correction of a Factored Preconditioner. (external link)
• Trond Steihaug; Shahadat Hossain (2001). When sparsity counts: Computing derivatives in optimization. (external link)
• A.K.M. Shahadat Hossain; Trond Steihaug (2000). Reducing the number of AD passes for computing a partitioned sparse Jacobian matrix. (external link)
• Yasemin Yalçinkaya; Trond Steihaug (2000). An analytical model for a class of architectures under master-slave paradigm. (external link)
• Trond Steihaug (2000). Convergence of Inexact Primal-Dual Methods for Linear Optimization. (external link)
• Venansius Baryamureeba; Trond Steihaug (2000). Preconditioning for Iterative Methods in Robust Linear Regression. (external link)
• Trond Steihaug (2000). Convergence of Inexact Primal-Dual Methods for Linear Optimization. (external link)
• Yasemin Yalcinkaya; Trond Steihaug (2000). An analytical model for a class of architectures under master-slave paradigm. (external link)
• Trond Steihaug (1999). Gauss-Newton method on mildly nonlinear problems and a class of preconditioners for the normal equation for weighted linear least squares problems. (external link)
• Venansius Baryamureeba; Trond Steihaug (1999). Computational issues for a new class of preconditioners. (external link)
• Venansius Baryamureeba; Trond Steihaug (1999). On a class of preconditioners for interior point methods. (external link)
• Venansius Baryamureeba; Trond Steihaug (1999). Application of a new class of preconditioners to large-scale linear programming problems. (external link)
• Yasemin Yalcinkaya; Trond Steihaug (1999). Are three parameters enough to represent a parallel computer?. (external link)
• Venansius Baryamureeba; Trond Steihaug; Yin Zhang (1999). Application of a class of preconditioners to large-scale linear programming problems. (external link)
• Trond Steihaug; Yasemin Yalcinkaya (1997). Asymptotic analysis of interior point methods: Deteriorating Convergence for Asynchronous Methods on Linear Least Squares Problems. (external link)
• Yasemin Yalcinkaya; Trond Steihaug (1997). Asynchronous Methods and Least Squares: An Example of Deteriorating Convergence. (external link)
• Trond Steihaug; L. Noreide (1994). To rank a Miss without to miss a Rank. (external link)

Conference poster

• Trond Steihaug; Sara Suleiman (2013). Curvilinear search and higher order methods. (external link)

Doctoral thesis (PhD)

• Anna-Lena Both; Jan-Joachim Rückmann; Trond Steihaug et al. (2019). Parameter optimisation for the improved modelling of industrial-scale gas explosions. (external link)
• Ute-Alexandra Schaarschmidt; Trond Steihaug; Sam Subbey (2018). Multiple time–scale dynamics of stage structured populations and derivative–free optimization. (external link)
• Lennart Frimannslund; Trond Steihaug; Hans Julius Skaug (2006). On Curvature and Separability in Unconstrained Optimisation. (external link)

Lecture

• Ute-Alexandra Schaarschmidt; Sam Subbey; Trond Steihaug (2015). Structural uncertainty in population dynamic models. (external link)
• Trond Steihaug; Elisabeth Spildo (1994). Implementasjon av en trunkert indre punkt metode. (external link)
• Trond Steihaug (1994). A truncated interior point method. (external link)

Master’s thesis

• Ørjan Bergmann; Trond Steihaug; Arvid Lundervold (2002). Discrete event simulation in Java with applications in rodent navigation. (external link)

Popular science article

• Trond Steihaug; Douglas G. Rogers (2009). A minimum requiring angle trisection. (external link)

Research report

• Ute-Alexandra Schaarschmidt; Sam Subbey; Trond Steihaug (2014). Application of slow-fast population dynamic models. (external link)
• Mohamed El Ghami; Trond Steihaug; Cornelis Roos (2006). Primal-Dual IPMS for Semidefinite Optimization Based on Finite Barrier Functions. (external link)
• Lennart Frimannslund; Trond Steihaug (2006). Using Partial Separability of Functions in Generating Set Search Methods for Unconstrained Optimisation. (external link)
• Lennart Frimannslund; Trond Steihaug (2006). A class of Methods Combining L-BFGS and Truncated Newton. (external link)
• Shahadat Hossain; Trond Steihaug (2003). Optimal Direct Determination of Sparse Jacobian Matrices. (external link)
• Venansius Baryamureeba; Trond Steihaug (2000). On the Properties of Preconditioners for Robust Linear Regression. (external link)
• Venansius Baryamureeba; Trond Steihaug (2000). On the Convergence of an Inexact Primal-Dual Interior Point Method for Linear Programming. (external link)
• Venansius Baryamureeba; Trond Steihaug; Yin Zhang (1999). Properties of a Class of Preconditioners for Weighted Least Squares Problems. (external link)
• Venansius Baryamureeba; Trond Steihaug (1999). Properties and computational issues of a preconditioner for interior point methods. (external link)
• Venansius Baryamureeba; Trond Steihaug (1999). Properties and Computational Issues of a Preconditioner for Interior Point Methods. (external link)
• Trond Steihaug; Amr El-Bakry (1998). On componentwise convergence. (external link)
• Trond Steihaug (1998). A Ferris-Mangasarian Technique Applied to Linear Least Squares Problems. (external link)
• J.E. Dennis; Trond Steihaug (1998). A Ferris-Mangasarian technique applied to linear least squares problems. (external link)
• Trond Steihaug; A.K.M. Shahadat Hossain (1997). Graph coloring and the estimation of sparse Jacobian matrices with segmented columns. (external link)
• Trond Steihaug; Yasemin Yalcinkaya (1997). Asynchronous Methods and Least Squares: An Example of Deteriorating Convergence. (external link)
• Trond Steihaug; Wenli Wang (1996). Curve Tailoring. (external link)
• Trond Steihaug; A. K. M. Shahadat Hossain (1992). Graph coloring and the estimation of sparse jacobian matrices using row and column partitioning. (external link)

See a complete overview of publications in NVA.