Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation. - Awad H. Al-Mohy; Nicholas J. Higham (SIAM J. Matrix Anal. Appl., 2008)

A New Scaling and Squaring Algorithm for the Matrix Exponential. - Awad H. Al-Mohy; Nicholas J. Higham (SIAM J. Matrix Anal. Appl., 2009)

Computing matrix functions. - Nicholas J. Higham; Awad H. Al-Mohy (Acta Numer., 2010)

The complex step approximation to the Fréchet derivative of a matrix function. - Awad H. Al-Mohy; Nicholas J. Higham (Numer. Algorithms, 2010)

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators. - Awad H. Al-Mohy; Nicholas J. Higham (SIAM J. Sci. Comput., 2011)

A more accurate Briggs method for the logarithm. - Awad H. Al-Mohy (Numer. Algorithms, 2012)

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm. - Awad H. Al-Mohy; Nicholas J. Higham (SIAM J. Sci. Comput., 2012)

Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number. - Awad H. Al-Mohy; Nicholas J. Higham; Samuel D. Relton (SIAM J. Sci. Comput., 2013)

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously. - Awad H. Al-Mohy; Nicholas J. Higham; Samuel D. Relton (SIAM J. Sci. Comput., 2015)

A Truncated Taylor Series Algorithm for Computing the Action of Trigonometric and Hyperbolic Matrix Functions. - Awad H. Al-Mohy (SIAM J. Sci. Comput., 2018)

The complex step approximation to the higher order Fréchet derivatives of a matrix function. - Awad H. Al-Mohy; Bahar Arslan (Numer. Algorithms, 2021)

Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative. - Awad H. Al-Mohy; Nicholas J. Higham; Xiaobo Liu (SIAM J. Matrix Anal. Appl., 2022)

Generalizing the Fréchet Derivative Algorithm for the Matrix Exponential. - Awad H. Al-Mohy (CoRR, 2024)

Conditioning of Matrix Functions at Quasi-Triangular Matrices. - Awad H. Al-Mohy (SIAM J. Matrix Anal. Appl., 2024)

Computing matrix φ-functions arising in exponential integrators. - Awad H. Al-Mohy; Xiaobo Liu (CoRR, 2025)