@Article{mikkelsen2008analysis,
author = {Mikkelsen, Carl Christian Kjelgaard and Manguoglu, Murat},
title = {{Analysis of the truncated Spike algorithm}},
journal = {{SIAM Journal on Matrix Analysis and Applications}},
year = {2008},
volume = {30},
number = {4},
pages = {1500-1519},
}
@Article{mikkelsen2011retracing,
author = {Mikkelsen, Carl Christian Kjelgaard},
title = {{Retracing the residual curve of a Lyapunov equation solver}},
journal = {{BIT Numerical Mathematics}},
year = {2011},
volume = {51},
number = {4},
pages = {959-975},
}
@Article{mikkelsen2019parallel,
author = {Mikkelsen, Carl Christian Kjelgaard and Schwarz, Angelika Beatrix and Karlsson, Lars},
title = {{Parallel robust solution of triangular linear systems}},
journal = {Concurrency and Computation: Practice and Experience},
year = {2019},
volume = {31},
number = {19},
pages = {1--19},
}
@InCollection{mikkelsen2012explicit,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {{The Explicit Spike Algorithm: Iterative Solution of the Reduced System}},
booktitle = {{High-Performance Scientific Computing: Algorithms and Applications}},
OPTcrossref = {},
OPTkey = {},
publisher = {Springer},
year = {2012},
editor = {Michael W. Berry and Kyle A. Gallivan and Efstratios Gallopoulos and Ananth Grama and Bernard Philippe and Yousef Saad and Faisal Saied},
OPTvolume = {},
OPTnumber = {},
OPTseries = {},
OPTtype = {},
chapter = {6},
pages = {147-156},
OPTedition = {},
OPTmonth = {},
OPTaddress = {},
OPTnote = {},
OPTannote = {}
}
@InProceedings{mikkelsen2012parallel,
author = {Mikkelsen, Carl Christian Kjelgaard and K{\aa}gstr{\"o}m, Bo},
title = {{Parallel Solution of Narrow Banded Diagonally Dominant Linear Systems}},
booktitle = {{Applied Parallel and Scientific Computing}},
year = {2012},
editor = {J{\'o}nasson, Kristj{\'a}n},
volume = {7134},
series = {{Lecture Notes in Computer Science}},
pages = {280-290},
publisher = {Springer},
note = {Proceedings of PARA-2010, Reykjav{\'i}k, Iceland, June 2010}
}
@InProceedings{mikkelsen2013approximate,
author = {Mikkelsen, Carl Christian Kjelgaard and K{\aa}gstr{\"o}m, Bo},
title = {{Approximate Incomplete Cyclic Reduction for Systems Which Are Tridiagonal and Strictly Diagonally Dominant by Rows}},
booktitle = {Applied Parallel and Scientific Computing},
year = {2013},
editor = {Manninen, Pekka and {\"O}ster, Per},
volume = {7782},
series = {{Lecture Notes in Computer Science}},
pages = {250--264},
note = {Proceedings of PARA-2012, Helsinki, Finland, June 2012}
}
@InProceedings{mikkelsen2012incomplete,
author = {Mikkelsen, Carl Christian Kjelgaard and K{\aa}gstr{\"o}m, Bo},
title = {{Incomplete Cyclic Reduction of Banded and Strictly Diagonally Dominant Linear Systems}},
booktitle = {{Parallel Processing and Applied Mathematics}},
year = {2012},
editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Wa{\'s}niewski, Jerzy},
volume = {7203},
series = {{Lecture Notes in Computer Science}},
pages = {80--91},
note = {Proceedings of PPAM-2011, Torun, Poland, September 2011},
}
@InProceedings{karlsson2013improving,
author = {Karlsson, Lars and Mikkelsen, Carl Christian Kjelgaard and K{\aa}gstr{\"o}m, Bo},
title = {{Improving Perfect Parallelism}},
booktitle = {{Parallel Processing and Applied Mathematics}},
year = {2014},
editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Wa{\'s}niewski, Jerzy},
volume = {8384},
series = {{Lecture Notes in Computer Science}},
pages = {76--85},
note = {Proceedings of PPAM-2013, Warsaw, Poland, September 2013},
}
@InProceedings{mikkelsen2016accelerating,
author = {Carl Christian Kjelgaard Mikkelsen and Jes{\'u}s Alastruey-Bened{\'e} and Pablo Ib{\'a}{\~n}ez-Mar{\'i}n and Pablo Garc{\'i}a Risue{\~n}o},
title = {{Accelerating Sparse Arithmetic in the Context of Newton's method for Small Molecules with Bond Constraints}},
booktitle = {{Parallel Processing and Applied Mathematics}},
year = {2016},
editor = {Wyrzykowski, Roman and Deelman, Eva and Dongarra, Jack and Karczewski, Konrad and Kitowski, Jacek and Wiatr, Kazimierz},
volume = {9573},
series = {{Lecture Notes in Computer Science}},
pages = {160--171},
note = {Proceedings of PPAM-2015, Krakow, Poland, September 2015},
}
@InProceedings{mikkelsen2018blocked,
author = {Mikkelsen, Carl Christian Kjelgaard and Karlsson, Lars},
title = {{Blocked Algorithms for the Robust Solution of Triangular Linear Systems}},
booktitle = {{Parallel Processing and Applied Mathematics}},
year = {2018},
editor = {Wyrzykowski, Roman and Dongarra, Jack and Deelman, Eva and Karczewski, Konrad},
volume = {10777},
series = {{Lecture Notes in Computer Science}},
pages = {68--79},
note = {Proceedings of PPAM-2017, Lublin, Poland, September 2017},
}
@InProceedings{myllykoski2020introduction,
author = {Myllykoski, Mirko and Carl Christian Kjelgaard Mikkelsen},
booktitle = {{Parallel Processing and Applied Mathematics}},
year = {2020},
title = {{Introduction to StarNEig -- A Task-based Library for Solving Nonsymmetric Eigenvalue Problems}},
note = {To appear in the Proceedings of PPAM-2019, Bialystok, Poland, September 2019}
}
@InProceedings{schwarz2020robust-sylvester,
author = {Angelika Beatrix Schwarz and Carl Christian Kjelgaard Mikkelsen},
title = {{Robust Task-Parallel Solution of the Triangular Sylvester Equation}},
booktitle = {Parallel Processing and Applied Mathematics},
year = {2020},
note = {To appear in the Proceedings of PPAM-2019, Bialystok, Poland, September 2019}
}
@InProceedings{mikkelsen2020parallel,
author = {Carl Christian Kjelgaard Mikkelsen and Mirko Myllykoski},
title = {{Parallel Robust Computation of Generalized Eigenvectors of Matrix Pencils}},
booktitle = {Parallel Processing and Applied Mathematics},
year = {2020},
note = {To appear in the Proceedings of PPAM-2019, Bialystok, Poland, September 2019}
}
@TechReport{cckm2010arnoldi,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {{Any positive residual history is possible for the Arnoldi method for Lyapunov matrix equations}},
institution = {Ume{\aa} University, Department of Computing Science and HPC2N},
year = {2010},
OPTkey = {},
type = {Technical report},
number = {UMINF-10.03},
OPTaddress = {},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}
@TechReport{cckm2010eksm,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {{Any positive residual history is possible for the EKSM for Lyapunov matrix equations}},
institution = {Ume{\aa} University, Department of Computing Science and HPC2N},
year = {2010},
OPTkey = {},
type = {Technical report},
number = {UMINF-10.04},
OPTaddress = {},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}
@TechReport{cckm2008decay,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {The decay rate of the solution to a tridiagonal linear system with a very special right-hand side},
institution = {Purdue University, Department of Computer Science},
year = {2008},
OPTkey = {},
type = {Technical report},
number = {CSD-08.21},
OPTaddress = {},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}
@TechReport{cckm2007krylov1,
author = {Maxim Naumov and Murat Manguoglu and Carl Christian Kjelgaard Mikkelsen and Anna Arseniva and Ahmed Sameh},
title = {{Reliability of Krylov subspace methods - A practical perspective: Part I}},
institution = {Purdue University, Department of Computer Science},
year = {2007},
type = {Technical report},
number = {CSD-07.21},
}
@TechReport{cckm2007krylov2,
author = {Maxim Naumov and Murat Manguoglu and Carl Christian Kjelgaard Mikkelsen and Anna Arseniva and Ahmed Sameh},
title = {{Reliability of Krylov subspace methods - A practical perspective: Part II}},
institution = {Department of Computer Science, Purdue University},
year = {2007},
type = {Technical report},
number = {CSD-07.22},
}
@TechReport{cckm2017robust,
author = {Carl Christian Kjelgaard Mikkelsen and Lars Karlsson},
title = {{Robust Solution of Triangular Linear Systems}},
institution = {Ume{\aa} University},
year = {2017},
type = {Technical Report},
number = {UMINF 17.9},
}
@TechReport{adlerborn2017towards,
author = {Bj{\"o}rn Adlerborn and Carl Christian Kjelgaard Mikkelsen and Lars Karlsson},
title = {{Towards Highly Parallel and Compute-Bound Computation of Eigenvectors of Matrices in Schur Form}},
institution = {Ume{\aa} University},
year = {2017},
OPTkey = {},
type = {Technical Report},
number = {UMINF 17.10},
OPTaddress = {},
OPTmonth = {},
note = {},
OPTannote = {}
}
@TechReport{mirko2017task,
author = {Mirko Myllykoski and Carl Christian Kjelgaard Mikkelsen and Lars Karlsson and Bo K{\aa}gstr{\"o}m},
title = {{Task-Based Parallel Algorithms for Eigenvalue Reordering of Matrices in Real Schur Form}},
institution = {Ume{\aa} University},
year = {2017},
OPTkey = {},
type = {Technical Report},
number = {UMINF 17.11},
}
@TechReport{karlsson2017negative,
author = {Lars Karlsson and Carl Christian Kjelgaard Mikkelsen},
title = {{Negative stride in the column-major format makes sense and has useful applications}},
institution = {Ume{\aa} University},
year = {2017},
type = {Technical Report},
number = {UMINF 17.17}
}
@TechReport{schwarz2020robusteigenvector,
author = {Angelika Schwarz and Carl Christian Kjelgaard Mikkelsen and Lars Karlsson},
title = {{Robust Parallel Eigenvector Computation for the Non-Symmetric Eigenvalue Problem}},
institution = {Ume{\aa} University},
year = {2020},
type = {Technical Report},
number = {UMINF 20.02},
}
@TechReport{cckm2017eigenvalue,
author = {Carl Christian Kjelgaard Mikkelsen and Mirko Myllykoski and Bj{\"o}rn Adlerborn and Lars Karlsson and Bo K{\aa}gstr{\"o}m},
title = {Eigenvalue problem solvers},
institution = {Ume{\aa} University},
year = {2017},
OPTkey = {},
type = {Public dissemination report},
number = {NLAFET D2.5},
}
@TechReport{mm2019eigenvalue,
author = {Mirko Myllykoski and Carl Christian Kjelgaard Mikkelsen and Angelica Schwarz and Bo K{\aa}gstr{\"o}m},
title = {Eigenvalue solvers for nonsymmetric problems},
institution = {Ume{\aa} University},
year = {2019},
OPTkey = {},
type = {Public dissemination report},
number = {NLAFET D2.7},
}
@PhdThesis{cckm2009numerical,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {Numerical methods for large Lyapunov equations},
school = {Purdue University},
year = {2009},
OPTkey = {},
OPTtype = {},
address = {West Lafayette, Indiana, USA},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}
@MastersThesis{cckm2004finite,
author = {Carl Christian Kjelgaard Mikkelsen},
title = {The finite difference method as an analytical tool},
school = {Aarhus University},
year = {2004},
OPTkey = {},
OPTtype = {},
address = {Aarhus, Denmark},
OPTmonth = {},
OPTnote = {},
OPTannote = {}
}