mrdivide, /

Quaternion right division for scalars

Since R2024a

Syntax

C = A/B

Description

C = A/B performs right division between a scalar and a quaternion or array of quaternions.

Examples

Divide Quaternion Array by Real Scalar

Create a 2-by-1 quaternion array, and right divide it by a real scalar.

A = quaternion([1:4;5:8])

A = 2×1 quaternion array
     1 + 2i + 3j + 4k
     5 + 6i + 7j + 8k

B = 2;
C = A/B

C = 2×1 quaternion array
     0.5 +   1i + 1.5j +   2k
     2.5 +   3i + 3.5j +   4k

Right Divide Quaternion Array by Quaternion Scalar

Create a 2-by-2 quaternion array, and right divide it by a quaternion scalar.

q1 = quaternion(magic(4));
A = reshape(q1,2,2)

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

B = quaternion([1:4])

B = quaternion
     1 + 2i + 3j + 4k

C = A/B

C = 2×2 quaternion array
          2.7 -      0.1i -      2.1j -      1.7k       2.9667 + 0.033333i -  0.56667j -      1.1k
       2.9667 -      0.5i +  0.76667j -  0.83333k          2.7 -      1.7i +      1.9j -      0.9k

Input Arguments

A — Divisor

quaternion object | array of quaternion objects | real numeric scalar | array of real numbers

Divisor, specified as a quaternion object, an array of quaternion objects, a real numeric scalar, or an array of real numbers. Numeric values must be of data type single or double.

At least one of A and B must a scalar.

B — Dividend

quaternion object | array of quaternion objects | real scalar | array of real numbers

Dividend, specified as a quaternion object, an array of quaternion objects, a real numeric scalar, or an array of real numbers. Numeric values must be of data type single or double.

At least one of A and B must a scalar.

Output Arguments

C — Result

quaternion object | array of quaternion objects

Result of quaternion right division, returned as a quaternion object or an array of quaternion objects.

Algorithms

Quaternion Division

Given a quaternion $$A=a_1+a_2\text{i}+a_3\text{j}+a_4\text{k}$$ and a real numeric scalar p,

$$C=p/A=\frac{a_1}{p}+\frac{a_2}{p}\text{i}+\frac{a_3}{p}\text{j}+\frac{a_4}{p}\text{k}$$

Note

For a real numeric scalar p, A/p = p\A.

Quaternion Division by a Quaternion Scalar

Given two quaternions A and B,

$$C=A/B=A*B^{-1}=A*\left(\frac{conj(B)}{norm{(B)}^2}\right)$$

Extended Capabilities

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

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Version History

Introduced in R2024a