The criterion of tending to zero the poweres of a matrix and its applications

D i l m u r a d o v N a s r i d d i n, R a x i m o v A b r o r

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2021-yil

Annotatsiya

In this article the criterion for convergence of a sequence of powers to zero matrix and its practical applications are presented. The linear discrete dynamic system with constant coefficients is explored and the sufficient and necessary condition for the all eigenvalues of a given matrix have a negative real part in the complex plane is obtained. It is proved that if the maximum of modules of the all eigenvalues of the Jacobi matrix at zero of a complex valued holomorphic vector function with several variables is less than one then the zero fixed point of the function is attractive.

Maqola ma’lumotlari
MualliflarD i l m u r a d o v N a s r i d d i n, R a x i m o v A b r o r
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2021-04-07
Jild3
Son127/1
Betlar1-13
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.59251/2181-1296.v3.1271.1206
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v3.1271.1206 · Maqolaning asl sahifasi · PDF

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APAD i l m u r a d o v N a s r i d d i n, & R a x i m o v A b r o r (2021). THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(127/1), 1-13. https://doi.org/10.59251/2181-1296.v3.1271.1206
GOST (OAK)D i l m u r a d o v N a s r i d d i n, R a x i m o v A b r o r THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2021. – T. 3, № 127/1. – P. 1-13. – DOI: 10.59251/2181-1296.v3.1271.1206.
MLAD i l m u r a d o v N a s r i d d i n, and R a x i m o v A b r o r. “THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(127/1), 1-13, 2021. https://doi.org/10.59251/2181-1296.v3.1271.1206
ChicagoD i l m u r a d o v N a s r i d d i n, and R a x i m o v A b r o r. “THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(127/1), 1-13 (2021). https://doi.org/10.59251/2181-1296.v3.1271.1206
HarvardD i l m u r a d o v N a s r i d d i n, and R a x i m o v A b r o r (2021) ‘THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(127/1), 1-13. https://doi.org/10.59251/2181-1296.v3.1271.1206
BibTeX
@article{dilmuradovnasriddin2021,
  title = {THE CRITERION OF TENDING TO ZERO THE POWERES OF A MATRIX AND ITS APPLICATIONS},
  author = {D i l m u r a d o v N a s r i d d i n and R a x i m o v A b r o r},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2021},
  volume = {3},
  number = {127/1},
  pages = {1-13},
  doi = {10.59251/2181-1296.v3.1271.1206},
  url = {https://doi.org/10.59251/2181-1296.v3.1271.1206}
}

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