A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation
In this paper, a tensor splitting AOR iterative method for solving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="script">H</mi><mo>+</mo></msup&g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/7/1023 |
| _version_ | 1797438518277963776 |
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| author | Yuhan Chen Chenliang Li |
| author_facet | Yuhan Chen Chenliang Li |
| author_sort | Yuhan Chen |
| collection | DOAJ |
| description | In this paper, a tensor splitting AOR iterative method for solving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="script">H</mi><mo>+</mo></msup></semantics></math></inline-formula>-tensor absolute value equation is presented. Some sufficient conditions for the existence of the solution to the tensor absolute value equation are given. Under suitable conditions, the new method is proved to be convergent. Finally, some numerical examples demonstrate that our new method is effective. |
| first_indexed | 2024-03-09T11:39:06Z |
| format | Article |
| id | doaj.art-4c21bf7b616d48cda793655ee02a0888 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:39:06Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4c21bf7b616d48cda793655ee02a08882023-11-30T23:36:02ZengMDPI AGMathematics2227-73902022-03-01107102310.3390/math10071023A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value EquationYuhan Chen0Chenliang Li1School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, ChinaIn this paper, a tensor splitting AOR iterative method for solving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="script">H</mi><mo>+</mo></msup></semantics></math></inline-formula>-tensor absolute value equation is presented. Some sufficient conditions for the existence of the solution to the tensor absolute value equation are given. Under suitable conditions, the new method is proved to be convergent. Finally, some numerical examples demonstrate that our new method is effective.https://www.mdpi.com/2227-7390/10/7/1023<i>ℋ</i><sup>+</sup>-tensortensor absolute value equationAOR methodtensor splitting |
| spellingShingle | Yuhan Chen Chenliang Li A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation Mathematics <i>ℋ</i><sup>+</sup>-tensor tensor absolute value equation AOR method tensor splitting |
| title | A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation |
| title_full | A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation |
| title_fullStr | A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation |
| title_full_unstemmed | A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation |
| title_short | A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation |
| title_sort | tensor splitting aor iterative method for solving a tensor absolute value equation |
| topic | <i>ℋ</i><sup>+</sup>-tensor tensor absolute value equation AOR method tensor splitting |
| url | https://www.mdpi.com/2227-7390/10/7/1023 |
| work_keys_str_mv | AT yuhanchen atensorsplittingaoriterativemethodforsolvingatensorabsolutevalueequation AT chenliangli atensorsplittingaoriterativemethodforsolvingatensorabsolutevalueequation AT yuhanchen tensorsplittingaoriterativemethodforsolvingatensorabsolutevalueequation AT chenliangli tensorsplittingaoriterativemethodforsolvingatensorabsolutevalueequation |