Mathematical Software for Computing Matrix Functions

    Impact: Economic, Technological

    Narrative

    Functions of matrices underpin many of the fundamental algorithms used in the finance, engineering and pharmaceutical industries. Our research has provided the state of the art algorithms for computing the most common matrix functions. The algorithms have been implemented commercially in MATLAB (with almost 2 million users) and the Numerical Algorithms Group (NAG) Ltd Library; as well as in open source packages such as R and Eigen. Software companies have enjoyed direct impact through improved products and increased revenues, whilst the greater indirect impact is for the users of the software, leading to acceleration in the pace of science and engineering worldwide.
    Impact date2014
    Category of impactEconomic, Technological
    Impact levelAdoption