A new look at pencils of matrix valued functions

DOI10.1016/0024-3795(94)90403-0zbMath0814.15008OpenAlexW2036331399MaRDI QIDQ1344062

Volker Mehrmann, Peter Kunkel

Publication date: 22 June 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90403-0

zbMATH Keywords

numerical methodscanonical formsdifferential-algebraic systemsmatrix pencilslinear differential-algebraic equationsHermitian pencilsnonsquare pencilspencils of matrix valued functionsWeierstrass-Kronecker canonical form

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (10)

Numerical solution of hybrid systems of differential-algebraic equations ⋮ Transformation of high order linear differential-algebraic systems to first order ⋮ Derivative and proportional state feedback for linear descriptor systems with variable coefficients ⋮ The linear quadratic optimal control problem for linear descriptor systems with variable coefficients ⋮ Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations ⋮ Condensed Forms for Linear Port-Hamiltonian Descriptor Systems ⋮ On doubly structured matrices and pencils that arise in linear response theory. ⋮ Associating matrix pencils to generalized linear multivariable systems ⋮ Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them ⋮ Completion to involution and semidiscretisations

Uses Software

• LAPACK
• DASSL

Cites Work

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