论文信息 - Linear Equations in Quaternions

Linear Equations in Quaternions

We start with some information on the algebra of quaternions. There are more details in our previous papers [3, 7]. General information are contained in a book [6], results concerning matrices with quaternion elements are surveyed in [9]. Applications to quantum mechanics are treated in [1, 2], and applications in chemistry are given in [8]. We denote by H = R the skew field of quaternions. Let a = (a1, a2, a3, a4), b = (b1, b2, b3, b4) ∈ H. Then, addition is defined elementwise and multiplication is governed by the following rule:

Gerhard Opfer | Drahoslava Janovská

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