Interval linear algebra – A new perspective
The purpose of this article is to put the concept of interval linear algebra on a sound algebraic setting, by judiciously defining a Field and a Vector Space over a field involving equivalence classes. Classifying mathematical objects by bringing them into canonical forms, is an important subject of...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364722006838 |
| _version_ | 1797952873034678272 |
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| author | S. Hema Surya T. Nirmala K. Ganesan |
| author_facet | S. Hema Surya T. Nirmala K. Ganesan |
| author_sort | S. Hema Surya |
| collection | DOAJ |
| description | The purpose of this article is to put the concept of interval linear algebra on a sound algebraic setting, by judiciously defining a Field and a Vector Space over a field involving equivalence classes. Classifying mathematical objects by bringing them into canonical forms, is an important subject of study in every branch of Mathematics. The concepts of eigenvalues and eigenvectors are used in several fields including machine learning, quantum computing, communication system design, construction design, electrical and mechanical engineering etc. The study of interval matrices leads to canonical forms of interval matrices, which will help us classify and study interval matrices more effectively and more easily. |
| first_indexed | 2024-04-10T22:52:57Z |
| format | Article |
| id | doaj.art-c50f4f6e24df4a3aac447c5ce01cea7b |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-04-10T22:52:57Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-c50f4f6e24df4a3aac447c5ce01cea7b2023-01-15T04:21:21ZengElsevierJournal of King Saud University: Science1018-36472023-02-01352102502Interval linear algebra – A new perspectiveS. Hema Surya0T. Nirmala1K. Ganesan2Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai 603203, Tamil Nadu, IndiaDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai 603203, Tamil Nadu, IndiaCorresponding author.; Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai 603203, Tamil Nadu, IndiaThe purpose of this article is to put the concept of interval linear algebra on a sound algebraic setting, by judiciously defining a Field and a Vector Space over a field involving equivalence classes. Classifying mathematical objects by bringing them into canonical forms, is an important subject of study in every branch of Mathematics. The concepts of eigenvalues and eigenvectors are used in several fields including machine learning, quantum computing, communication system design, construction design, electrical and mechanical engineering etc. The study of interval matrices leads to canonical forms of interval matrices, which will help us classify and study interval matrices more effectively and more easily.http://www.sciencedirect.com/science/article/pii/S1018364722006838IntervalInterval matrixEquivalance relationEigenvaluesEigenvectorsCanonical forms |
| spellingShingle | S. Hema Surya T. Nirmala K. Ganesan Interval linear algebra – A new perspective Journal of King Saud University: Science Interval Interval matrix Equivalance relation Eigenvalues Eigenvectors Canonical forms |
| title | Interval linear algebra – A new perspective |
| title_full | Interval linear algebra – A new perspective |
| title_fullStr | Interval linear algebra – A new perspective |
| title_full_unstemmed | Interval linear algebra – A new perspective |
| title_short | Interval linear algebra – A new perspective |
| title_sort | interval linear algebra a new perspective |
| topic | Interval Interval matrix Equivalance relation Eigenvalues Eigenvectors Canonical forms |
| url | http://www.sciencedirect.com/science/article/pii/S1018364722006838 |
| work_keys_str_mv | AT shemasurya intervallinearalgebraanewperspective AT tnirmala intervallinearalgebraanewperspective AT kganesan intervallinearalgebraanewperspective |