This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English version of the page.

Note: This page has been translated by MathWorks. Click here to see
To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

exp

Exponential of quaternion array

Syntax

B = exp(A)

Description

example

B = exp(A) computes the exponential of the elements of the quaternion array A.

Examples

collapse all

Create a 4-by-1 quaternion array A.

A = quaternion(magic(4))
A = 4x1 quaternion array
     16 +  2i +  3j + 13k
      5 + 11i + 10j +  8k
      9 +  7i +  6j + 12k
      4 + 14i + 15j +  1k

Compute the exponential of A.

B = exp(A)
B = 4x1 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 Arguments

collapse all

Input quaternion, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: quaternion

Output Arguments

collapse all

Result of quaternion exponential, returned as a scalar, vector, matrix, or multidimensional array.

Data Types: quaternion

Algorithms

Given a quaternion A=a+bi+cj+dk=a+v¯, the exponential is computed by

exp(A)=ea(cosv¯+v¯v¯sinv¯)

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Introduced in R2018b