Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C
An iterative method to compute the least-squares solutions of the matrix AXB=C over the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterative step. Numerical experiments are performed to illustrate the ef...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/781276 |
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| _version_ | 1832552384870481920 |
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| author | An-bao Xu Zhenyun Peng |
| author_facet | An-bao Xu Zhenyun Peng |
| author_sort | An-bao Xu |
| collection | DOAJ |
| description | An iterative method to compute the least-squares solutions of the matrix AXB=C over the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterative step. Numerical experiments are performed to illustrate the efficiency and real application of the algorithm. |
| format | Article |
| id | doaj-art-ba2a9ede1dcb448b9058374a36d7d0c1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ba2a9ede1dcb448b9058374a36d7d0c12025-02-03T05:58:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/781276781276Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=CAn-bao Xu0Zhenyun Peng1Guilin University of Electronic Technology, Guilin 541004, ChinaGuilin University of Electronic Technology, Guilin 541004, ChinaAn iterative method to compute the least-squares solutions of the matrix AXB=C over the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterative step. Numerical experiments are performed to illustrate the efficiency and real application of the algorithm.http://dx.doi.org/10.1155/2013/781276 |
| spellingShingle | An-bao Xu Zhenyun Peng Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C Abstract and Applied Analysis |
| title | Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C |
| title_full | Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C |
| title_fullStr | Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C |
| title_full_unstemmed | Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C |
| title_short | Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C |
| title_sort | norm constrained least squares solutions to the matrix equation axb c |
| url | http://dx.doi.org/10.1155/2013/781276 |
| work_keys_str_mv | AT anbaoxu normconstrainedleastsquaressolutionstothematrixequationaxbc AT zhenyunpeng normconstrainedleastsquaressolutionstothematrixequationaxbc |