| bibtype |
J -
Journal Article
|
| ARLID |
0489266 |
| utime |
20240903170639.6 |
| mtime |
20180502235959.9 |
| SCOPUS |
85047400394 |
| WOS |
000435168400005 |
| DOI |
10.14736/kyb-2018-2-0289 |
| title
(primary) (eng) |
A fast numerical test of multivariate polynomial positiveness with applications |
| specification |
| page_count |
15 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0297163 |
| ISSN |
0023-5954 |
| title
|
Kybernetika |
| volume_id |
54 |
| volume |
2 (2018) |
| page_num |
289-303 |
| publisher |
| name |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
|
| keyword |
stability |
| keyword |
multidimensional systems |
| keyword |
positive polynomials |
| keyword |
fast Fourier transforms |
| keyword |
numerical algorithm |
| author
(primary) |
| ARLID |
cav_un_auth*0213204 |
| name1 |
Augusta |
| name2 |
Petr |
| full_dept (cz) |
Teorie řízení |
| full_dept (eng) |
Department of Control Theory |
| department (cz) |
TŘ |
| department (eng) |
TR |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0259382 |
| name1 |
Augustová |
| name2 |
Petra |
| full_dept (cz) |
Teorie řízení |
| full_dept |
Department of Control Theory |
| department (cz) |
TŘ |
| department |
TR |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
The paper presents a simple method to check a positiveness of symmetric multivariate polynomials on the unit multi-circle. The method is based on the sampling polynomials using the fast Fourier transform. The algorithm is described and its possible applications are proposed. One of the aims of the paper is to show that presented algorithm is significantly faster than commonly used method based on the semi-definite programming expression. |
| result_subspec |
WOS |
| RIV |
BC |
| FORD0 |
20000 |
| FORD1 |
20200 |
| FORD2 |
20205 |
| reportyear |
2019 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0283707 |
| confidential |
S |
| mrcbC86 |
3+4 Article Computer Science Cybernetics |
| mrcbT16-e |
COMPUTERSCIENCECYBERNETICS |
| mrcbT16-j |
0.174 |
| mrcbT16-s |
0.268 |
| mrcbT16-B |
15.991 |
| mrcbT16-D |
Q4 |
| mrcbT16-E |
Q4 |
| arlyear |
2018 |
| mrcbU14 |
85047400394 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000435168400005 WOS |
| mrcbU56 |
textový soubor 571 KB |
| mrcbU63 |
cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 54 č. 2 2018 289 303 Ústav teorie informace a automatizace AV ČR, v. v. i. |
|