NDLI: Revealing matrices of linear differential systems of arbitrary order

Content Provider	Springer Nature Link
Author	Abramov, S. A. Ryabenko, A. A. Khmelv, D. E.
Copyright Year	2017
Abstract	If the leading matrix of a linear differential system is nonsingular, then its determinant is known to bear useful information about solutions of the system. Of interest is also the frontal matrix. However, each of these matrices (we call them revealing matrices) may occur singular. In the paper, a brief survey of algorithms for transforming a system of full rank to a system with a nonsingular revealing matrix of a desired type is given. The same transformations can be used to check whether the rank of the original system is full. A Maple implementation of these algorithms (package EGRR) is discussed, and results of comparison of estimates of their complexity with actual operation times on a number of examples are presented.
Starting Page	67
Ending Page	74
Page Count	8
File Format	PDF
ISSN	03617688
Journal	Programming and Computer Software
Volume Number	43
Issue Number	2
e-ISSN	16083261
Language	English
Publisher	Pleiades Publishing
Publisher Date	2017-03-24
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer Science Software Engineering/Programming and Operating Systems Operating Systems Software Engineering Artificial Intelligence (incl. Robotics)
Content Type	Text
Resource Type	Article
Subject	Software

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Revealing matrices of linear differential systems of arbitrary order