Journal of Automation and Information Sciences
Выходит 12 номеров в год
ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
On Using the Shcur Method for Solving Unilateral Quadratic Matrix Equation
Том 46,
Выпуск 1, 2014,
pp. 1-8
DOI: 10.1615/JAutomatInfScien.v46.i1.10
Краткое описание
The algorithm of solving the unilateral quadratic matrix equation is proposed. The algorithm is based on the Cayley transform of a matrix pencil and Schur algorithm, which is commonly used to find the solution of the algebraic Riccati equation. This algorithm allows one to find solution in the case of a singular matrix as well which is a coefficient of the higher degree of the equation. As shown in the example, the proposed algorithm is also effective in the case where all the matrix coefficients of this equation are degenerate. The algorithm efficiency is demonstrated in the examples that other authors have examined.
453 Просмотры статей
22 Загрузка статей
Метрики
Статьи с похожим содержанием:
Последний выпуск
Modeling of Configurations Formed when Using Microneedle Systems
Properties of Large Deviations of Empirical Estimates in a Stochastic Optimization Problem for a Homogeneous Random Field
The Dynamics of One Arms Race Mathematical Model with a Delay
Some Ways to Modeling Input Data for Information Search in the Library of Standards when Solving Semantics Problems
Method for Constructing Primitive Polynomials for Cryptographic Subsystems of Dependable Automated Systems
Complete Asymptotics of Approximations by Certain Singular Integrals in Mathematical Modeling
Index, Volume 52, 2020