Iterative algorithm for the generalized \((P,Q)\)-reflexive solution of a quaternion matrix equation with \(j\)-conjugate of the unknowns. (English) Zbl 1350.65037
The paper concentrates on solving a particular quaternion matrix equation over a quaternion algebra, with the constraint that the solution matrix is generalized reflexive. An iterative method yielding an approximate solution is presented, its properties are discussed. Two rather simple numerical examples are given.
Reviewer: Iveta Hnetynkova (Praha)
MSC:
| 65F30 | Other matrix algorithms (MSC2010) |
| 65F10 | Iterative numerical methods for linear systems |
| 15B33 | Matrices over special rings (quaternions, finite fields, etc.) |
| 15A24 | Matrix equations and identities |
