The Solutions to Matrix Equation AX=B with Some Constraints
Let P be a given Hermitian matrix satisfying P2=I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX=B with the constraints PX=XP and X*=X. A similar problem of this matrix equation with generalized constrained is also discussed.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/412094 |
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| _version_ | 1832565781485846528 |
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| author | Chang-Zhou Dong Yu-Ping Zhang |
| author_facet | Chang-Zhou Dong Yu-Ping Zhang |
| author_sort | Chang-Zhou Dong |
| collection | DOAJ |
| description | Let P be a given Hermitian matrix satisfying P2=I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX=B with the constraints PX=XP and X*=X. A similar problem of this matrix equation with generalized constrained is also discussed. |
| format | Article |
| id | doaj-art-5e701d3ed7d940a9ac1a03c7a5dcc7bc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5e701d3ed7d940a9ac1a03c7a5dcc7bc2025-02-03T01:06:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/412094412094The Solutions to Matrix Equation AX=B with Some ConstraintsChang-Zhou Dong0Yu-Ping Zhang1School of Mathematics and Science, Shijiazhuang University of Economics, Shijiazhuang 050031, ChinaSchool of Mathematics and Science, Shijiazhuang University of Economics, Shijiazhuang 050031, ChinaLet P be a given Hermitian matrix satisfying P2=I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX=B with the constraints PX=XP and X*=X. A similar problem of this matrix equation with generalized constrained is also discussed.http://dx.doi.org/10.1155/2014/412094 |
| spellingShingle | Chang-Zhou Dong Yu-Ping Zhang The Solutions to Matrix Equation AX=B with Some Constraints Journal of Applied Mathematics |
| title | The Solutions to Matrix Equation AX=B with Some Constraints |
| title_full | The Solutions to Matrix Equation AX=B with Some Constraints |
| title_fullStr | The Solutions to Matrix Equation AX=B with Some Constraints |
| title_full_unstemmed | The Solutions to Matrix Equation AX=B with Some Constraints |
| title_short | The Solutions to Matrix Equation AX=B with Some Constraints |
| title_sort | solutions to matrix equation ax b with some constraints |
| url | http://dx.doi.org/10.1155/2014/412094 |
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