On simultaneous row and column reduction of higher-order linear differential systems

[1]  B. Beckermann,et al.  Fraction-free row reduction of matrices of Ore polynomials , 2006, J. Symb. Comput..

[2]  T. Muldersa,et al.  On lattice reduction for polynomial matrices , 2003 .

[3]  M. Miyake REMARKS ON THE FORMULATION OF THE CAUCHY PROBLEM FOR GENERAL SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS , 1980 .

[4]  P. Cohn Free rings and their relations , 1973 .

[5]  Moulay A. Barkatou,et al.  Simultaneously row- and column-reduced higher-order linear differential systems , 2010, ISSAC.

[6]  Moulay A. Barkatou,et al.  On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity , 2009, J. Symb. Comput..

[7]  George Labahn,et al.  Recursiveness in matrix rational interpolation problems , 1997 .

[8]  A. D. Karageorgos,et al.  Power series solutions for linear higher order rectangular differential matrix control systems , 2009, 2009 17th Mediterranean Conference on Control and Automation.

[9]  Mark Giesbrecht,et al.  On Computing the Hermite Form of a Matrix of Differential Polynomials , 2009, CASC.

[10]  Arne Storjohann,et al.  On lattice reduction for polynomial matrices , 2000 .

[11]  Steffen Schulz,et al.  Four Lectures on Differential-Algebraic Equations , 2003 .

[12]  Keith O. Geddes,et al.  Algorithms for computer algebra , 1992 .

[13]  Volker Mehrmann,et al.  Transformation of high order linear differential-algebraic systems to first order , 2006, Numerical Algorithms.

[14]  A polynomial-time algorithm for the Jacobson form for matrices of differential operators , 2008 .