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- Publisher Website: 10.1016/j.jmaa.2020.124909
- Scopus: eid_2-s2.0-85099632651
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Article: Integrability of diagonalizable matrices and a dual Schoenberg type inequality
| Title | Integrability of diagonalizable matrices and a dual Schoenberg type inequality |
|---|---|
| Authors | |
| Keywords | Polynomials Matrices Differentiators Integrators Non-derogatory |
| Issue Date | 2021 |
| Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa |
| Citation | Journal of Mathematical Analysis and Applications, 2021, v. 498 n. 2, p. article no. 124909 How to Cite? |
| Abstract | The concepts of differentiation and integration for matrices were introduced for studying zeros and critical points of complex polynomials. Any matrix is differentiable, however not all matrices are integrable. The purpose of this paper is to investigate the integrability property and characterize it within the class of diagonalizable matrices. In order to do this we study the relation between the spectrum of a diagonalizable matrix and its integrability and the diagonalizability of the integral. Finally, we apply our results to obtain a dual Schoenberg type inequality relating zeros of polynomials with their critical points. |
| Persistent Identifier | http://hdl.handle.net/10722/299258 |
| ISSN | 2021 Impact Factor: 1.417 2020 SCImago Journal Rankings: 0.951 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Danielyan, SV | - |
| dc.contributor.author | Guterman, AE | - |
| dc.contributor.author | Ng, TW | - |
| dc.date.accessioned | 2021-05-10T06:59:16Z | - |
| dc.date.available | 2021-05-10T06:59:16Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, 2021, v. 498 n. 2, p. article no. 124909 | - |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/299258 | - |
| dc.description.abstract | The concepts of differentiation and integration for matrices were introduced for studying zeros and critical points of complex polynomials. Any matrix is differentiable, however not all matrices are integrable. The purpose of this paper is to investigate the integrability property and characterize it within the class of diagonalizable matrices. In order to do this we study the relation between the spectrum of a diagonalizable matrix and its integrability and the diagonalizability of the integral. Finally, we apply our results to obtain a dual Schoenberg type inequality relating zeros of polynomials with their critical points. | - |
| dc.language | eng | - |
| dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | - |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | - |
| dc.subject | Polynomials | - |
| dc.subject | Matrices | - |
| dc.subject | Differentiators | - |
| dc.subject | Integrators | - |
| dc.subject | Non-derogatory | - |
| dc.title | Integrability of diagonalizable matrices and a dual Schoenberg type inequality | - |
| dc.type | Article | - |
| dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
| dc.identifier.authority | Ng, TW=rp00768 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.jmaa.2020.124909 | - |
| dc.identifier.scopus | eid_2-s2.0-85099632651 | - |
| dc.identifier.hkuros | 322390 | - |
| dc.identifier.volume | 498 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | article no. 124909 | - |
| dc.identifier.epage | article no. 124909 | - |
| dc.identifier.isi | WOS:000620924700002 | - |
| dc.publisher.place | United States | - |