Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C

Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C

L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix and h = a + bi + cj + dk ↦ ˜h := a − bi + cj −...

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Bibliographic Details
Main Authors: Klimchuk Tatiana, Sergeichuk Vladimir V.
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Special Matrices
Subjects:
quaternion matrices
consimilarity
matrix equations
15a21
15a24
15b33
Online Access:https://doi.org/10.2478/spma-2014-0018

Internet

https://doi.org/10.2478/spma-2014-0018

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