Computing the action of the matrix exponential, with an application to exponential integrators AH Al-Mohy, NJ Higham SIAM journal on scientific computing 33 (2), 488-511, 2011 | 564 | 2011 |

A new scaling and squaring algorithm for the matrix exponential AH Al-Mohy, NJ Higham SIAM Journal on Matrix Analysis and Applications 31 (3), 970-989, 2010 | 463 | 2010 |

Computing matrix functions NJ Higham, AH Al-Mohy Acta Numerica 19, 159-208, 2010 | 127 | 2010 |

Computing the Fréchet derivative of the matrix exponential, with an application to condition number estimation AH Al-Mohy, NJ Higham SIAM Journal on Matrix Analysis and Applications 30 (4), 1639-1657, 2009 | 118 | 2009 |

Improved inverse scaling and squaring algorithms for the matrix logarithm AH Al-Mohy, NJ Higham SIAM Journal on Scientific Computing 34 (4), C153-C169, 2012 | 115 | 2012 |

Computing the Fréchet derivative of the matrix logarithm and estimating the condition number AH Al-Mohy, NJ Higham, SD Relton SIAM Journal on Scientific Computing 35 (4), C394-C410, 2013 | 89 | 2013 |

The complex step approximation to the Fréchet derivative of a matrix function AH Al-Mohy, NJ Higham Numerical Algorithms 53 (1), 133-148, 2010 | 87 | 2010 |

New algorithms for computing the matrix sine and cosine separately or simultaneously AH Al-Mohy, NJ Higham, SD Relton SIAM Journal on Scientific Computing 37 (1), A456-A487, 2015 | 58 | 2015 |

A truncated Taylor series algorithm for computing the action of trigonometric and hyperbolic matrix functions AH Al-Mohy SIAM Journal on Scientific Computing 40 (3), A1696-A1713, 2018 | 14 | 2018 |

Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative AH Al-Mohy, NJ Higham, X Liu SIAM Journal on Matrix Analysis and Applications 43 (1), 233-256, 2022 | 13 | 2022 |

A more accurate Briggs method for the logarithm AH Al-Mohy Numerical Algorithms 59 (3), 393-402, 2012 | 10 | 2012 |

The complex step approximation to the higher order Fréchet derivatives of a matrix function AH Al-Mohy, B Arslan Numerical Algorithms 87 (3), 1061-1074, 2021 | 7 | 2021 |

Algorithms for the matrix exponential and its Fréchet derivative AH Al-Mohy PQDT-UK & Ireland, 2011 | 6 | 2011 |

Computing the Fréchet derivative of the matrix logarithm and estimating the condition number AH Al-Mohy, NJ Higham, SD Relton Manchester Institute for Mathematical Sciences, University of Manchester, 2012 | 5 | 2012 |

A new algorithm for computing the actions of trigonometric and hyperbolic matrix functions AH Al-Mohy arXiv preprint arXiv:1708.08360, 2017 | 2 | 2017 |

An efficient bound for the condition number of the matrix exponential AH Al-Mohy Journal of Taibah University for Science 11 (2), 280-289, 2017 | 2 | 2017 |

Conditioning of Matrix Functions at Quasi-Triangular Matrices AH Al-Mohy SIAM Journal on Matrix Analysis and Applications 45 (2), 954-966, 2024 | 1 | 2024 |

Generalizing the Fr\'echet Derivative Algorithm for the Matrix Exponential AH Al-Mohy arXiv preprint arXiv:2410.03575, 2024 | | 2024 |

Generalized Complex Step Approximation to Estimate the First and Second Order Frechet Derivative of Matrix Functions B Arslan, AH Al-Mohy Filomat 36 (16), 5603–5614, 2022 | | 2022 |

An Algorithm to Compute the Matrix Logarithm and its Fréchet Derivative for use in Condition Number Estimation A Al-Mohy, NJ Higham, S Relton Matrix, 2012 | | 2012 |