Exponential matrix function definition

A universal basis set is, almost by definition, capable of providing a rather uniform description of a series of atoms and molecules. This uniformity is illustrated in Table VI where matrix Hartiee-Fock energies for some first-row atoms obtained by using a universal basis set of even-tempered exponential-type functions are given. 

Note that in MATLAB, the functions exp(A), c. o.r(A), sin A), are element-by-element functions and do not obey the above definitions. The MATLAB functions expm A), expmJ A), expm2 A), and expmSiA) calculate exponential of the matrix A by different algorithms. The function expm2(A) calculates exponential of the matrix A as in Eq. (2.83). 

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