Power

Multiply a Tensor i-times by itself. Note that for a given Tensor C:

• i < 0 calculate the i-th power of inv(C)
• i == 0 calculate the identity tensor
• i > 0 calculate the i-th power of C

Property	Value
Result	Tensor-valued function
Data Types	Tensor2, Tensor2s

Example

type(Tensor2)  :: C, C3, invC, Eye
! type(Tensor2s) :: C, C3, invC, Eye

! i-th power of C
C3 = C**3

! i-th power of inverse of C
invC3 = C**(-3)

! identity tensor
Eye = C**0

Don’t use C**(1/2) because in Fortran an integer division, e.g. 1/2, gives an integer 0 and this function will return the identity tensor instead of the square root.

For the evaluation of the tensorial square root, use sqrt instead.