Algorithms for regular solutions of higher-order linear differential systems

  title={Algorithms for regular solutions of higher-order linear differential systems},
  author={M. Barkatou and T. Cluzeau and Carole El Bacha},
  booktitle={ISSAC '09},
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient methods for computing their regular formal solutions. Our algorithm handles the system directly without transforming it into a system of first-order but higher size. We give its arithmetic complexity and discuss the results of an implementation in Maple. 
7 Citations
Simple forms of higher-order linear differential systems and their applications in computing regular solutions
  • 14
  • PDF
Higher-Order Linear Differential Systems with Truncated Coefficients
  • 9
  • PDF
Symbolic methods for solving systems of linear ordinary differential equations
  • 4
  • PDF
Simultaneously row- and column-reduced higher-order linear differential systems
  • 11


On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems
  • 17
  • Highly Influential