دورية أكاديمية
Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices
| العنوان: | Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices |
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| المؤلفون: | Catral, M., Lebtahi, L., Stuart, J., Thome, Néstor |
| المساهمون: | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Agencia Estatal de Investigación |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2020 |
| المجموعة: | Universitat Politécnica de Valencia: RiuNet / Politechnical University of Valencia |
| مصطلحات موضوعية: | K-involutory matrix, S-potent matrix, {R, s+1, k}-potent matrix, Spectrum, MATEMATICA APLICADA |
| الوصف: | [EN] The {R, s +1, k}- and {R, s +1, k, *}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R, s + 1, k} -potent matrices is developed using characterizations involving an associated matrix pencil (A, R). The corresponding spectral study for {R, s+ 1, k, *}-potent matrices involves the pencil (A*, R). In order to present some properties, the relevance of the projector I - AA(#). where A(#) is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions. ; This work has been partially supported by Ministerio de Economia, Industria y Competitividad, Spain (Red de Excelencia MTM2017-90682-REDT). ; Catral, M.; Lebtahi, L.; Stuart, J.; Thome, N. (2020). Spectral study of {R, s + 1, k}- and {R, s + 1, k, *}-potent matrices. Journal of Computational and Applied Mathematics. 373:1-13. https://doi.org/10.1016/j.cam.2019.112414Test ; S ; 1 ; 13 ; 373 ; Benítez, J., & Thome, N. (2006). {k}-Group Periodic Matrices. SIAM Journal on Matrix Analysis and Applications, 28(1), 9-25. doi:10.1137/s0895479803437384 ; Catral, M., Lebtahi, L., Stuart, J., & Thome, N. (2014). On a matrix group constructed from an {R,s+1,k}-potent matrix. Linear Algebra and its Applications, 461, 200-210. doi:10.1016/j.laa.2014.08.005 ; Catral, M., Lebtahi, L., Stuart, J., & Thome, N. (2018). Matrices A such that A+1R = RA⁎ with R = I. Linear Algebra and its Applications, 552, 85-104. doi:10.1016/j.laa.2018.04.010 ; Ilisevic, D., & Thome, N. (2012). When is the hermitian/skew-hermitian part of a matrix a potent matrix? The Electronic Journal of Linear Algebra, 24. doi:10.13001/1081-3810.1582 ; Lebtahi, L., & Thome, N. (2012). Properties of a matrix group associated to a {K,s+1}-potent matrix. The Electronic Journal of Linear Algebra, 24. doi:10.13001/1081-3810.1578 ; Lebtahi, L., Romero, O., & Thome, N. (2012). ... |
| نوع الوثيقة: | article in journal/newspaper conference object |
| اللغة: | English |
| تدمد: | 0377-0427 |
| العلاقة: | Journal of Computational and Applied Mathematics; info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/; Numerical Analysis and Scientific Computing with Applications Conference (NASCA 2018); Julio 02-06,2018; Kalamata, Greece; https://doi.org/10.1016/j.cam.2019.112414Test; urn:issn:0377-0427; http://hdl.handle.net/10251/161611Test |
| DOI: | 10.1016/j.cam.2019.112414 |
| الإتاحة: | https://doi.org/10.1016/j.cam.2019.112414Test http://hdl.handle.net/10251/161611Test |
| حقوق: | http://creativecommons.org/licenses/by-nc-nd/4.0Test/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.FF06072E |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 03770427 |
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| DOI: | 10.1016/j.cam.2019.112414 |