Index reduction for differential-algebraic equations by substitution method

DOI10.1016/j.laa.2008.06.025zbMath1158.65055OpenAlexW2080953728MaRDI QIDQ947691

Satoru Iwata, Mizuyo Takamatsu

Publication date: 6 October 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.025

zbMATH Keywords

numerical examplepolynomial matricesdifferential-algebraic equationsKronecker canonical formmatrix pencilindex reductioncombinatorial matrix theory

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Matrix pencils (15A22)

Related Items (5)

Index minimization of differential-algebraic equations in hybrid analysis for circuit simulation ⋮ Acceleration of implicit schemes for large linear systems of differential-algebraic equations ⋮ Efficient index reduction algorithm for large scale systems of differential algebraic equations ⋮ Index reduction of differential algebraic equations by differential Dixon resultant ⋮ Periodic solutions of differential-algebraic equations

Uses Software

• Model Transformation Tools

Cites Work

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• Differential-algebraic equations in vehicle system dynamics
• Computing the maximum degree of minors in matrix pencils via combinatorial relaxation
• Canonical forms for linear differential-algebraic equations with variable coefficients
• Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-McMillan form at infinity and structural indices in Kronecker form
• The index of general nonlinear DAEs
• Differential-Algebraic Equation Index Transformations
• Structural analysis of electric circuits and consequences for MNA
• Index reduction for differential-algebraic equations by minimal extension
• Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
• Primal-Dual Combinatorial Relaxation Algorithms for the Maximum Degree of Subdeterminants
• Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
• Matrices and matroids for systems analysis

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