Structure preserving deflation of infinite eigenvalues in structured pencils

zbMath1312.65055MaRDI QIDQ2341378

Hong-guo Xu, Volker Mehrmann

Publication date: 24 April 2015

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

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol44/abstract_vol44_pp1-24.html

zbMATH Keywords

numerical example\(H_\infty\) controllinear quadratic controlstructured matrix pencildeflation procedurealternating pencilpalindromic pencileigenvalue infinityHermitian pencilstructured Kronecker canonical formstructured staircase formsymmetric pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) (H^infty)-control (93B36) Eigenvalue problems (93B60) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (4)

Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations ⋮ On why using \(\mathbb{DL}(P)\) for the symmetric polynomial eigenvalue problem might need to be reconsidered

Uses Software

• PEPACK
• STCSSP

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