> restart; -1; with(LinearAlgebra); -1; libname; 1
 

/Library/Frameworks/Maple.framework/Versions/18/lib (1)
 

> libname :=
libname :=
 

/Users/maddah/Documents/Work/Packages/packages/libraries/miniISOLDE/miniISOLDE.lib
/Users/maddah/Documents/Work/Packages/packages/libraries/miniISOLDE/miniISOLDE.lib
(2)
 

> march('list',
 

[[
[[
[[
[[
[[
[[
[[
[[
(3)
 

>
 

>
 

Given a linear differential system with singularities (poles) d/dx F = A(x) F, miniISOLDE provides funcationalities for constructing locally a fundamental matrix of formal solutions and studying the properties of the system. In what follows, we give examples on three of these functionalities. 

 

miniISOLDE is a growing package and it contains some but not all functionalitities of ISOLDE written in MAPLE by M.A.Barkatou and E. Pfluegel (1995-2012): http://isolde.sourceforge.net/ miniISOLDE is the analogous package to the package Lindalg which is written in the open source software MATHEMAGIX: 

www.mathemagix.org 

 

For description and proper citations of the algorithms implemented herein, please refer to the accompanying tutorial, the manual of Lindalg package, or the following papers and references therein: 

 

- Barkatou, Moulay A. "An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system." Applicable Algebra in Engineering, Communication and Computing 8.1 (1997): 1-23. 

 

- Barkatou, A. "A rational version of Moser's algorithm." Proceedings of the 1995 international symposium on Symbolic and algebraic computation. ACM, 1995. 

 

 

Splitting Lemma 

>
 

Moser-Barkatou Rank Reduction 

 

Exponential Part 

More Functionalities...