Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix
Let <i>A</i> be a diagonalizable complex matrix. In this paper, we discuss finding solutions to the Yang–Baxter-like matrix equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/8/1577 |
| _version_ | 1797431697564762112 |
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| author | Dongmei Chen Xuerong Yong |
| author_facet | Dongmei Chen Xuerong Yong |
| author_sort | Dongmei Chen |
| collection | DOAJ |
| description | Let <i>A</i> be a diagonalizable complex matrix. In this paper, we discuss finding solutions to the Yang–Baxter-like matrix equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mi>X</mi><mi>A</mi><mo>=</mo><mi>X</mi><mi>A</mi><mi>X</mi><mo>.</mo></mrow></semantics></math></inline-formula> We then present a concrete example to illustrate the validity of the results obtained. |
| first_indexed | 2024-03-09T09:48:56Z |
| format | Article |
| id | doaj.art-7d591d5993d94ca59482520204251508 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T09:48:56Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-7d591d5993d94ca594825202042515082023-12-02T00:21:33ZengMDPI AGSymmetry2073-89942022-07-01148157710.3390/sym14081577Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient MatrixDongmei Chen0Xuerong Yong1College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaDepartment of Mathematical Sciences, The University of Puerto Rico Mayaguez, Mayagüe, PR 00681, USALet <i>A</i> be a diagonalizable complex matrix. In this paper, we discuss finding solutions to the Yang–Baxter-like matrix equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mi>X</mi><mi>A</mi><mo>=</mo><mi>X</mi><mi>A</mi><mi>X</mi><mo>.</mo></mrow></semantics></math></inline-formula> We then present a concrete example to illustrate the validity of the results obtained.https://www.mdpi.com/2073-8994/14/8/1577Yang–Baxter-like matrix equationdiagonalizable matrixJordan blocks |
| spellingShingle | Dongmei Chen Xuerong Yong Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix Symmetry Yang–Baxter-like matrix equation diagonalizable matrix Jordan blocks |
| title | Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix |
| title_full | Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix |
| title_fullStr | Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix |
| title_full_unstemmed | Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix |
| title_short | Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix |
| title_sort | finding solutions to the yang baxter like matrix equation for diagonalizable coefficient matrix |
| topic | Yang–Baxter-like matrix equation diagonalizable matrix Jordan blocks |
| url | https://www.mdpi.com/2073-8994/14/8/1577 |
| work_keys_str_mv | AT dongmeichen findingsolutionstotheyangbaxterlikematrixequationfordiagonalizablecoefficientmatrix AT xuerongyong findingsolutionstotheyangbaxterlikematrixequationfordiagonalizablecoefficientmatrix |