A structure-preserving doubling algorithm for the square root of regular M-matrix
The matrix square root is widely encountered in many fields of mathematics. In this paper, based on the properties of M-matrix and quadratic matrix equations, we study the square root of M-matrix, and prove that for a regular M-matrix there always exists a regular M-matrix as its square root. In add...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-09-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024245 |
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| author | Zehua Wang Jinrui Guan Ahmed Zubair |
| author_facet | Zehua Wang Jinrui Guan Ahmed Zubair |
| author_sort | Zehua Wang |
| collection | DOAJ |
| description | The matrix square root is widely encountered in many fields of mathematics. In this paper, based on the properties of M-matrix and quadratic matrix equations, we study the square root of M-matrix, and prove that for a regular M-matrix there always exists a regular M-matrix as its square root. In addition, a structure-preserving doubling algorithm is proposed to compute the square root. Theoretical analysis and numerical experiments are given to show that our method is feasible and is effective under certain conditions. |
| format | Article |
| id | doaj-art-88f14d1e18ab46618413f838fdb64bb0 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-88f14d1e18ab46618413f838fdb64bb02025-01-23T07:52:42ZengAIMS PressElectronic Research Archive2688-15942024-09-013295306532010.3934/era.2024245A structure-preserving doubling algorithm for the square root of regular M-matrixZehua Wang0Jinrui Guan1Ahmed Zubair2School of Mathematics, Taiyuan University of Technology, Jinzhong 030600, ChinaSchool of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaInstitute of Mathematics and Computer Science, University of Sindh, Jamshoro, PakistanThe matrix square root is widely encountered in many fields of mathematics. In this paper, based on the properties of M-matrix and quadratic matrix equations, we study the square root of M-matrix, and prove that for a regular M-matrix there always exists a regular M-matrix as its square root. In addition, a structure-preserving doubling algorithm is proposed to compute the square root. Theoretical analysis and numerical experiments are given to show that our method is feasible and is effective under certain conditions.https://www.aimspress.com/article/doi/10.3934/era.2024245matrix square rootm-matrixiterative methoddoubling algorithm |
| spellingShingle | Zehua Wang Jinrui Guan Ahmed Zubair A structure-preserving doubling algorithm for the square root of regular M-matrix Electronic Research Archive matrix square root m-matrix iterative method doubling algorithm |
| title | A structure-preserving doubling algorithm for the square root of regular M-matrix |
| title_full | A structure-preserving doubling algorithm for the square root of regular M-matrix |
| title_fullStr | A structure-preserving doubling algorithm for the square root of regular M-matrix |
| title_full_unstemmed | A structure-preserving doubling algorithm for the square root of regular M-matrix |
| title_short | A structure-preserving doubling algorithm for the square root of regular M-matrix |
| title_sort | structure preserving doubling algorithm for the square root of regular m matrix |
| topic | matrix square root m-matrix iterative method doubling algorithm |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024245 |
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