Avoiding Higher Matrix Powers in the Solution of Linear Dynamical Systems

被引：1

作者：

Natalini, Pierpaolo ^{[1
]}

Ricci, Paolo Emilio ^{[2
]}

机构：

[1] Roma Tre Univ, Dept Math & Phys, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

[2] Int Telemat Univ UniNettuno, Corso Vittorio Emanuele 2 39, I-00186 Rome, Italy

来源：

MODELING IN MATHEMATICS | 2017年 / 2卷

关键词：

Matrix powers; Linear dynamical systems; Exponential matrix; Lucas polynomials of the second kind; GENERALIZED LUCAS POLYNOMIALS; CHEBYSHEV POLYNOMIALS; VARIABLES;

D O I：

10.2991/978-94-6239-261-8_9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that, using Lucas polynomials of the second kind, it is possible to write down explicitly the solution of linear dynamical systems - both in the discrete and continuous case - avoiding higher matrix powers. This improves the computational complexity of the algorithms usually described in literature.

引用

页码：117 / 127

页数：11

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