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Exponential of quaternion array
B = exp(A)
example
B = exp(A) computes the exponential of the elements of the quaternion array A.
B
A
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Create a 4-by-1 quaternion array A.
A = quaternion(magic(4))
A=4×1 quaternion array 16 + 2i + 3j + 13k 5 + 11i + 10j + 8k 9 + 7i + 6j + 12k 4 + 14i + 15j + 1k
Compute the exponential of A.
B=4×1 quaternion array 5.3525e+06 + 1.0516e+06i + 1.5774e+06j + 6.8352e+06k -57.359 - 89.189i - 81.081j - 64.865k -6799.1 + 2039.1i + 1747.8j + 3495.6k -6.66 + 36.931i + 39.569j + 2.6379k
Input quaternion, specified as a scalar, vector, matrix, or multidimensional array.
Data Types: quaternion
quaternion
Result of quaternion exponential, returned as a scalar, vector, matrix, or multidimensional array.
Given a quaternion A=a+bi+cj+dk=a+v¯, the exponential is computed by
exp(A)=ea(cos‖v¯‖+v¯‖v¯‖sin‖v¯‖)
log
power, .^
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