Structured polynomial eigenproblems related to time-delay systems

zbMath1188.15007MaRDI QIDQ964055

Christian Schröder, Niloufer Mackey, D. Steven Mackey, Heike Fassbender

Publication date: 14 April 2010

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229084

zbMATH Keywords

algorithmstability analysisnumerical experimentstime-delay systeminvolutionquadratic eigenvalue problemdelay-differential equationmatrix pencilSchur decompositionspectral symmetrypolynomial eigenvalue problemCayley transformationeven matrix polynomialpalindromic matrix polynomialstructured Schur formreal QZ algorithmstructure-preserving linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Stability theory of functional-differential equations (34K20) Eigenvalues, singular values, and eigenvectors (15A18) Linear functional-differential equations (34K06) Matrix pencils (15A22)

Related Items (7)

A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations ⋮ Quadratic realizability of palindromic matrix polynomials ⋮ Quadratic realizability of palindromic matrix polynomials: the real case ⋮ Vector Spaces of Generalized Linearizations for Rectangular Matrix Polynomials ⋮ A linear eigenvalue algorithm for the nonlinear eigenvalue problem ⋮ On the simultaneous refinement of the zeros of H-palindromic polynomials ⋮ Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations

Uses Software

• PEPACK

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