An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914833465606144 |
|---|---|
| author | Adukova, Natalia Adukov, Victor Mishuris, Gennady |
| author_facet | Adukova, Natalia Adukov, Victor Mishuris, Gennady |
| contents | In this paper, we propose a method to factorise of arbitrary strictly nonsingular 2x2 matrix functions allowing for stable factorisation. For this purpose, we utilise the ExactMPF package working within the Maple environment previously developed by the authors and performing an exact factorisation of a nonsingular polynomial matrix function. A crucial point in the present analysis is the evaluation of a stability region of the canonical factorisation of the polynomial matrix functions. This, in turn, allows us to propose a sufficient condition for the given matrix function admitting stable factorisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package Adukova, Natalia Adukov, Victor Mishuris, Gennady Rings and Algebras In this paper, we propose a method to factorise of arbitrary strictly nonsingular 2x2 matrix functions allowing for stable factorisation. For this purpose, we utilise the ExactMPF package working within the Maple environment previously developed by the authors and performing an exact factorisation of a nonsingular polynomial matrix function. A crucial point in the present analysis is the evaluation of a stability region of the canonical factorisation of the polynomial matrix functions. This, in turn, allows us to propose a sufficient condition for the given matrix function admitting stable factorisation. |
| title | An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2406.08518 |