Trace (linear Algebra) - Exponential Trace

Exponential Trace

Expressions like exp(tr(A)), where A is a square matrix, occur so often in some fields (e.g. multivariate statistical theory), that a shorthand notation has become common:

This is sometimes referred to as the exponential trace function; it is used in the Golden Thompson inequality.

Read more about this topic:  Trace (linear Algebra)

Famous quotes containing the word trace:

    Muhammad is the Messenger of God,
    and those who are with him are hard
    against the unbelievers, merciful
    one to another. Thou seest them
    bowing, prostrating, seeking bounty
    from God and good pleasure. Their
    mark is on their faces, the trace of
    prostration....
    God has promised
    those of them who believe and do deeds
    of righteousness forgiveness and
    a mighty wage.
    Qur’An. Victory 48:35, ed. Arthur J. Arberry (1955)