Explicit Factorization of Piecewise Constant Matrix Functions

被引：0

作者：

Giorgadze, Grigori ^{[1
]}

Spitkovsky, Ilya ^{[2
]}

机构：

[1] Tbilisi State Univ, Fac Exact & Nat Sci, 2 Chavchadze Ave, Tbilisi 0179, Georgia

[2] New York Univ Abu Dhabi, Div Sci & Math, Abu Dhabi 129188, U Arab Emirates

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2025年 / 31卷 / 01期

关键词：

Piecewise constant matrix function; Factorization; Partial indices; Monodromy;

D O I：

10.1007/s10883-025-09724-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Within the framework of differential Galois theory, we provide a solution to the factorization problem of piecewise constant matrix functions that arise from Fuchsian systems of differential equations. We calculate the partial indices of these matrix functions using the methods of the Riemann-Hilbert monodromy problem. This allows us to determine the explicit form of the factorization and understand the behavior of these matrix functions in relation to the underlying Fuchsian system of differential equations.

引用

页数：12

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