The Solution Set to the Quaternion Matrix Equation $AX-\overline{X}B=0$

DOI10.1142/S1005386712000132zbMath1236.15032MaRDI QIDQ2880074

Lianggui Feng, Wei Cheng

Publication date: 12 April 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://worldscinet.com/ac/19/1901/S1005386712000132.html

zbMATH Keywords

matrix equationconjugatequaternion division ring

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Finite-dimensional division rings (16K20)

Related Items

An efficient algorithm for the reflexive solution of the quaternion matrix equation \(AXB + CX^HD = F\), Zeros of two-sided quadratic quaternion polynomials, An efficient algorithm for the generalized \((P,Q)\)-reflexive solution to a quaternion matrix equation and its optimal approximation, Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field

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