THE REFLEXIVE RE-NONNEGATIVE DEFINITE SOLUTION TO A QUATERNION MATRIX EQUATION ∗

By Qing-Wen Wang. 2008

79 citations recorded by the source corpus.

In this paper a necessary and sufficient condition is established for the existence of the reflexive re-nonnegative definite solution to the quaternion matrix equation AXA ∗ = B ,w here ∗ stands for conjugate transpose. The expression of such solution to the matrix equation is also given. Furthermore, a necessary and sufficient condition is derived for the existence of the general re-nonnegative definite solution to the quaternion matrix equation A1X1A ∗ + A2X2A ∗ = B.T he representation of such solution to the matrix equation is given.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f20aa779f59e6703b099510dacb8edb6ccc31ec0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Masoud Hajarian
2. Mehdi Dehghan
3. Ali Shokri
4. M. Tatari
5. Arezou Ghesmati
6. Abbas Saadatmandi
7. Mohsen Razzaghi
8. Mehdi Ramezani

In Computational Theory and Mathematics

1. Masoud Hajarian
2. Mehdi Dehghan
3. Feng Ding
4. Yongsong Xiao
5. Junxia Ma
6. Ali Shokri

In Mechanics of Materials

1. Mehdi Dehghan
2. Masoud Hajarian
3. Ali Shokri
4. M. Tatari
5. Elyas Shivanian
6. Mehrdad Lakestani
7. S. Yousefi
8. Abbas Saadatmandi

Citations in the corpus

• The general solutions to some systems of matrix equations (2015, unknown): “[1–46]).”
• The general coupled matrix equations over generalized bisymmetric matrices (2010, background): “In the literature, the problem for determining a solution to several linearmatrix equations has been widely studied [10,14,22–24,27–30,33,35,43,44].”