GELDA: A software package for the solution of General Linear Differential Algebraic equations

[1]  Charles L. Lawson,et al.  Basic Linear Algebra Subprograms for Fortran Usage , 1979, TOMS.

[2]  C. W. Gear,et al.  Differential-algebraic equations index transformations , 1988 .

[3]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[4]  Gene H. Golub,et al.  Matrix computations , 1983 .

[5]  Stephen L. Campbell,et al.  Comment on controlling generalized state-space (descriptor) systems , 1987 .

[6]  Ernst Hairer,et al.  The numerical solution of differential-algebraic systems by Runge-Kutta methods , 1989 .

[7]  Volker Mehrmann,et al.  Numerical solution of differential algebraic riccati equations , 1990 .

[8]  V. Mehrmann The Autonomous Linear Quadratic Control Problem , 1991 .

[9]  L. Petzold A description of dassl: a differential/algebraic system solver , 1982 .

[10]  Jack J. Dongarra,et al.  An extended set of FORTRAN basic linear algebra subprograms , 1988, TOMS.

[11]  P. Deuflhard,et al.  One-step and extrapolation methods for differential-algebraic systems , 1987 .

[12]  Uri M. Ascher,et al.  Stability of Computational Methods for Constrained Dynamics Systems , 1991, SIAM J. Sci. Comput..

[13]  C. W. Gear,et al.  Differential/algebraic systems and matrix pencils , 1983 .

[14]  Werner C. Rheinboldt,et al.  CLASSICAL AND GENERALIZED SOLUTIONS OF TIME-DEPENDENT LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS , 1996 .

[15]  C. W. Gear,et al.  The index of general nonlinear DAEs , 1995 .