Lorién López-Villellas, Carl Christian Kjelgaard Mikkelsen et. al: Accurate and efficent constraind molecular dynamics of polymers using Newton's methd and special purpose code. Computer Physics Communications, Vol. 288, 2023. Publisher's copy
Carl Christian Kjelgaard Mikkelsen, Lorién López-Villellas, Pablo García-Risueño: Newton's method revisited: How accurate do we have to be?.
Concurrency and Computation, 2023. Publisher's copy
Carl Christian Kjelgaard Mikkelsen, Angelika Beatrix Schwarz and Lars Karlsson: Robust parallel eigenvector computation for the non-symmetric eigenvalue problem. Parallel Computing, Vol. 10, 2020. Publisher's copy
Mirko Myllykoski and Carl Christian Kjelgaard Mikkelsen: Task-based, GPU-accelerated and Robust Library for Solving Dense Nonsymmetric Eigenvalue Problems. Concurrency and Computation, 2020. Publisher's copy
Carl Christian Kjelgaard Mikkelsen, Angelika Beatrix Schwarz and Lars Karlsson: Parallel robust solution of triangular linear systems. Concurrency and Computation: Practice and Experience, 31(19):1-19, 2019. Publisher's copy
Carl Christian Kjelgaard Mikkelsen: Retracing the residual curve of a Lyapunov equation solver
BIT Numerical Mathematics, 51(4):959-975, 2011. PDFPublisher's copy
Carl Christian Kjelgaard Mikkelsen and Murat Manguoglu: Analysis of the truncated SPIKE algorithm
SIAM Journal of Matrix Analysis and Applications, vol. 30, no. 4, pp 1500-1519 (2008) PDFPublisher's copy
Carl Christian Kjelgaard Mikkelsen: The explicit Spike algorithm: Iterative solution of the reduced system
In: High Performance Scientific Computing: Algorithms and Applications
Berry, M.W., Gallivan, K. A., Gallopoulos E., Grama, A., Philippe, B. (eds)
Springer Verlag (2012) PDFPublisher's copy
Carl Christian Kjelgaard Mikkelsen, Lorién López-Villellas: The need for accuracy and smoothness in numerical simulations.
Accepted by PPAM 2024. Preprint at arxiv.org
Carl Christian Kjelgaard Mikkelsen, Lorién López-Villellas, Pablo García-Risueño: How Accurate Does Newton Have to Be?.
Proceedings of PPAM 2022. Publisher's copy
Carl Christian Kjelgaard Mikkelsen and Mirko Myllykoski: Parallel Robust Computation of Generalized Eigenvectors of Matrix Pencils.
Proceedings of PPAM-2019. Publisher's copy
Angelika Beatrix Schwarz and Carl Christian Kjelgaard Mikkelsen: Robust Task-Parallel Solution of the Triangular Sylvester Equation.
Proceedings of PPAM-2019. Publisher's copy
Mirko Myllykoski and Carl Christian Kjelgaard Mikkelsen: Introduction to StarNEig - A Task-based Library for Solving Nonsymmetric Eigenvalue Problems.
Proceedings of PPAM-2019. Publisher's copy
Carl Christian Kjelgaard Mikkelsen and Lars Karlsson: Blocked Algorithms for the Robust Solution of Triangular Linear Systems.
Proceedings of PPAM-2017. Publisher's copy
Carl Christian Kjelgaard Mikkelsen, Jesús Alastruey-Benedé, Pablo Ibáñez-Marín, and Pablo García-Risueño. Accelerating Sparse Arithmetic in the Context of Newton's Method for Small Molecules with Bond Constraints.
Proceedings of PPAM-2015. Publisher's copy
Lars Karlsson, Carl Christian Kjelgaard Mikkelsen and Bo Kågström: Improving Perfect Parallelism
Proceedings of PPAM-2013. Publisher's copy
Carl Christian Kjelgaard Mikkelsen and Bo Kågström: Approximate Incomplete Cyclic Reduction for Systems Which Are Tridiagonal and Strictly Diagonally Dominant by Rows
Proceedings of PARA-2012. Publisher's copy
Carl Christian Kjelgaard Mikkelsen and Bo Kågström: Incomplete Cyclic Reduction of Banded and Strictly Diagonally Dominant Linear Systems
Proceedings of PPAM-2011. Publisher's copy
Carl Christian Kjelgaard Mikkelsen and Bo Kågström: Parallel solution of narrow banded diagonally dominant linear systems
Proceedings of PARA-2010. Publisher's copy
Carl Christian Kjelgaard Mikkelsen: The uniqueness question
Mini-workshop on Local Time-Space Calculus with Applications, Oberwolfach, Germany, May 16-22th 2004
Oberwolfach Report, no. 26, pp. 1359-1360 (2004) PDF
Carl Christian Kjelgaard Mikkelsen: Numerical methods for large Lyapunov equations
Ph.D. dissertation, Department of Mathematics, Purdue University, USA (2009)
PDF
Carl Christian Kjelgaard Mikkelsen: The Finite Difference Method as an Analytical Tool
M.Sc. thesis, Department of Mathematics, Aarhus University, Denmark (2003)
PDF
Carl Chrisitian Kjelgaard Mikkelsen and Lorien Lopez-Villelas: The need for accuracy and smoothness in numerical simulationsPDF
Carl Christian Kjelgaard Mikkelsen: Well-conditioned eigenvalue problems that overflow
Umeå University, Department of Computing Science and HPC2N, Preprint (2020)
PDF
Angelika Schwarz, Carl Christian Kjelgaard Mikkelsen and Lars Karlson: Robust Parallel Eigenvector Computation for the Non-Symmetric Eigenvalue Problem
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-20.02 (2020) PDF
Lars Karlsson and Carl Christian Kjelgaard Mikkelsen: Negative stride in the column-major format makes sense and has useful applications
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-17.17 (2017) PDF
Mirko Myllykoski, Carl Christian Kjelgaard Mikkelsen and Lars Karlsson: Task-Based Parallel Algorithms for Eigenvalue Reordering
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-17.11 (2017) PDF
Björn Adlerborn, Carl Christian Kjelgaard Mikkelsen and Lars Karlsson: Towards compute-bound Computation of Eigenvectors of Matrices in Schur form
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-17.10 (2017) PDF
Carl Christian Kjelgaard Mikkelsen and Lars Karlsson Robust Solution of Triangular Linear Systems
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-17.9 (2017) PDF
Carl Christian Kjelgaard Mikkelsen: Any positive residual history is possible for the EKSM for Lyapunov matrix equations
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-10.04 (2010) PDF
Carl Christian Kjelgaard Mikkelsen: Any positive residual history is possible for the Arnoldi method for Lyapunov matrix equations
Umeå University, Department of Computing Science and HPC2N, Technical Report UMINF-10.03 (2010) PDF
Carl Christian Kjelgaard Mikkelsen: The decay rate of the solution to a tridiagonal linear system with a very special right hand side
Purdue University, Department of Computer Sciences, CSD TR #08-21 (2008) PDF
M. Naumov, M. Manguoglu, C. C. K. Mikkelsen and A. Sameh Reliability of Krylov subspace methods - A practical perspective II
Purdue University, Department of Computer Sciences, CSD TR #07-22 (2007)
PDF
M. Naumov, M. Manguoglu, C. C. K. Mikkelsen and A. Sameh Reliability of Krylov subspace methods - A practical perspective I
Purdue University, Department of Computer Sciences, CSD TR #07-21 (2007)
PDF
Carl Christian Kjelgaard Mikkelsen: Accuracy and stability of Molecular Dynamics with Constraints
Numerical Analysis in the 21st Centuary, Oxford, August 14-17, 2023
Mirko Myllykoski, Carl Christian Kjelgaad Mikkelsen, Angelika Schwarz, Lars Karlson: Parallel Robust Solution of Triangular Equations
Householder Symposium XXI, Selva di Fasano (Br), Italy, 12-17 June 2022.
Carl Christian Kjelgaard Mikkelsen, Mirko Myllykoski, Angelika Schwarz: Floating point overflow and the parallel solution of triangular equations.
SIAM PP-2022, Virtual Conference, February 23-26, 2022
Carl Christian Kjelgaard Mikkelsen, Mirko Myllykoski, Angelika Schwarz: Parallel robust solution of triangular equations.
SIAM CSE-2021, Virtual Conference.Slides
Carl Christian Kjelgaard Mikkelsen: Parallel robust solution of triangular equations. Nordic NLA-2019, Stockholm, Sweden.
Slides
Carl Christian Kjelgaard Mikkelsen and Mirko Myllykoski: Parallel Robust Computation of Generalized Eigenvectors of Matrix Pencils.
PPAM-2019, Bialystok, Poland.
Slides
Carl Christian Kjelgaard Mikkelsen, Lars Karlsson, Mirko Myllykoski and Angelika Schwarz: Task Based Robust Computation of Eigenvectors.
SIAM-PP-2018, Tokyo, Japan.
Slides
Carl Christian Kjelgaard Mikkelsen and Lars Karlsson: Blocked Algorithms for the Robust Solution of Triangular Systems.
PPAM-2017, Lublin, Poland.
Slides
