UNLEASHING THE POTENTIAL Idempotent and (k+1)-Potent Matrices in MEMS A Comprehensive Note on Linear Combinations.
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| Title: | UNLEASHING THE POTENTIAL Idempotent and (k+1)-Potent Matrices in MEMS A Comprehensive Note on Linear Combinations. |
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| Authors: | DONG, Peng-Fei1 dongpengfei313@126.com |
| Source: | Thermal Science. 2026, Vol. 30 Issue 2A, p929-940. 12p. |
| Subjects: | Microelectromechanical systems, Matrices (Mathematics), Noise control, Matrix multiplications |
| Abstract: | In micro-electro-mechanical systems (MEMS), noise interference poses significant challenges to the reliability and performance of sensors. This study explores the role of matrix analysis in addressing these challenges, focusing on linear combinations of idempotent and (k+1)-potent matrices. The proposed methodology involves the introduction of a matrix T = αA + βB, where A is idempotent, B is (k+1)-potent, and (α, β) are non-zero complex numbers. The central aim of this study is to derive the necessary and sufficient conditions for T to be involutive, a property that is critical for the successful removal of noise in MEMS applications. Through a rigorous theoretical analysis, we establish these conditions and present them as actionable criteria, supported by lemmas and theorems. The results of this study contribute to a more profound comprehension of matrix interactions and offer valuable insights for the enhancement of MEMS design. This work establishes a theoretical framework integrating matrix algebra with applied engineering, thereby paving the way for the development of enhanced noise mitigation strategies in the field of MEMS technology. [ABSTRACT FROM AUTHOR] |
| Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193183571 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: UNLEASHING THE POTENTIAL Idempotent and (k+1)-Potent Matrices in MEMS A Comprehensive Note on Linear Combinations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22DONG%2C+Peng-Fei%22">DONG, Peng-Fei</searchLink><relatesTo>1</relatesTo><i> dongpengfei313@126.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Thermal+Science%22">Thermal Science</searchLink>. 2026, Vol. 30 Issue 2A, p929-940. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Microelectromechanical+systems%22">Microelectromechanical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Noise+control%22">Noise control</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+multiplications%22">Matrix multiplications</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In micro-electro-mechanical systems (MEMS), noise interference poses significant challenges to the reliability and performance of sensors. This study explores the role of matrix analysis in addressing these challenges, focusing on linear combinations of idempotent and (k+1)-potent matrices. The proposed methodology involves the introduction of a matrix T = αA + βB, where A is idempotent, B is (k+1)-potent, and (α, β) are non-zero complex numbers. The central aim of this study is to derive the necessary and sufficient conditions for T to be involutive, a property that is critical for the successful removal of noise in MEMS applications. Through a rigorous theoretical analysis, we establish these conditions and present them as actionable criteria, supported by lemmas and theorems. The results of this study contribute to a more profound comprehension of matrix interactions and offer valuable insights for the enhancement of MEMS design. This work establishes a theoretical framework integrating matrix algebra with applied engineering, thereby paving the way for the development of enhanced noise mitigation strategies in the field of MEMS technology. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.2298/TSCI2602929D Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 929 Subjects: – SubjectFull: Microelectromechanical systems Type: general – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Noise control Type: general – SubjectFull: Matrix multiplications Type: general Titles: – TitleFull: UNLEASHING THE POTENTIAL Idempotent and (k+1)-Potent Matrices in MEMS A Comprehensive Note on Linear Combinations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: DONG, Peng-Fei IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03549836 Numbering: – Type: volume Value: 30 – Type: issue Value: 2A Titles: – TitleFull: Thermal Science Type: main |
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