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B. J. Xie, “Theorem and Application of Determinants Spread out of Self-Conjugated Matrix,” Acta Mathematica Sinica, Vol. 5, 1980, pp. 678-683.

has been cited by the following article:

• TITLE: On Bicomplex Representation Methods and Applications of Matrices over Quaternionic Division Algebra

  AUTHORS: Junliang Wu, Pingping Zhang

  KEYWORDS: Quaternion Determinant, Product of Quaternion Matrix, Inverse of Quaternion Matrix, Similar Quaternion Matrix, Application, Solution

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.2, March 30, 2011

  ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant concept, a new inverse concept of quaternion matrix and a new similar matrix concept. Under the new concept system, many quaternion algebra problems can be transformed into complex algebra problems to express and study. These concepts can perfect the theory of [J.L. Wu, A new representation theory and some methods on quaternion division algebra, JP Journal of Algebra, 2009, 14(2): 121-140] and unify the complex algebra and quaternion division algebra.