Revealing matrices of linear differential systems of arbitrary order

DOI10.1134/S0361768817020025zbMath1455.34002OpenAlexW2600014882MaRDI QIDQ2216797

Yanyan Li

Publication date: 17 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768817020025

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (4)

Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations ⋮ Package of procedures for inverting matrices whose entries are linear difference operators ⋮ EGRR ⋮ Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations

Uses Software

• Maple

Cites Work

• Unnamed Item
• Computing the Hermite form of a matrix of Ore polynomials
• Remarks on the formulation of the Cauchy problem for general system of ordinary differential equations
• On lattice reduction for polynomial matrices
• On simultaneous row and column reduction of higher-order linear differential systems
• On singular points of solutions of linear differential systems with polynomial coefficients
• Fraction-free row reduction of matrices of Ore polynomials.
• On the Differential and Full Algebraic Complexities of Operator Matrices Transformations
• On solutions of linear functional systems
• EG-eliminations
• On the Dimension of Solution Spaces of Full Rank Linear Differential Systems
• On Solution Spaces of Products of Linear Differential or Difference Operators
• Integration in Finite Terms

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