This is a preview. Log in through your library . Abstract Let f be a positive real-valued function defined on an interval I ⊆ R. The function f is said to be log-convex if logf is convex on I. In this ...

where matrix is a numeric matrix or literal. The LOG function is the scalar function that takes the natural logarithm of each element of the argument matrix. An example of a valid statement is shown ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Transactions of the American Mathematical Society, Vol. 176 (Feb., 1973), pp. 305-318 (14 pages) The theory of monotone matrix functions has been developed by K. Loewner; he first gives some necessary ...